Номер 7, страница 32, часть 2 - гдз по физике 9 класс учебник Белага, Воронцова

Авторы: Белага В. В., Воронцова Н. И., Ломаченков И. А., Панебратцев Ю. А.

Тип: Учебник

Издательство: Просвещение

Год издания: 2024 - 2026

Уровень обучения: углублённый

Часть: 2

Цвет обложки: голубой

ISBN: 978-5-09-121759-9

Часть 2. Глава 7. Звук. Параграф 69. Исследовательские работы. Темы исследовательских и проектных работ - номер 7, страница 32.

App\Models\Task {#1030 // resources/views/models/task/default.blade.php
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1212
                      #items: array:4 [
                        0 => App\Models\Term {#1213
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Term {#1214
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        2 => App\Models\Term {#1215
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        3 => App\Models\Term {#1216
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1217
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1218
                      #items: array:1 [
                        0 => App\Models\Term {#1219
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1220
                      #items: array:1 [
                        0 => App\Models\Term {#1221
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1222
                      #items: array:1 [
                        0 => App\Models\Term {#1223
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1224
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1225
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1226
                      #items: array:1 [
                        0 => App\Models\Term {#1227
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1228
                      #items: array:1 [
                        0 => App\Models\Term {#1229
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1230
                      #items: array:1 [
                        0 => App\Models\Term {#1231
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1232
                      #items: array:1 [
                        0 => App\Models\Term {#1216}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2024"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "919"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/belaga-u/"
                    "field_isbn" => "978-5-09-121759-9"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/belaga-u/covers/cover1.webp?ts=1761256721"
                      1 => "/media/fizika_09/belaga-u/covers/cover2.webp?ts=1761256721"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/belaga-u/covers/cover1.webp?ts=1761256721"
                        "alt" => ""
                        "width" => "2322"
                        "height" => "3039"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/belaga-u/covers/cover2.webp?ts=1761256721"
                        "alt" => ""
                        "width" => "2308"
                        "height" => "3035"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1233
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1234
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1235
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/belaga-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1236
                      #items: array:1 [
                        0 => App\Models\Term {#1237
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 1652
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1207}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1208}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1210}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1212}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1217}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1218}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1220}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1222}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1224}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1225}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1226}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1228}
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1230}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1232}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2024"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "919"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/belaga-u/"
                    "field_isbn" => "978-5-09-121759-9"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/belaga-u/covers/cover1.webp?ts=1761256721"
                      1 => "/media/fizika_09/belaga-u/covers/cover2.webp?ts=1761256721"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/belaga-u/covers/cover1.webp?ts=1761256721"
                        "alt" => ""
                        "width" => "2322"
                        "height" => "3039"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/belaga-u/covers/cover2.webp?ts=1761256721"
                        "alt" => ""
                        "width" => "2308"
                        "height" => "3035"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1233}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1234}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1235}
                    "field_url" => "/9-klass/fizika/belaga-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1236}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1238
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1505926
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "2"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1206}
            "field_page_start" => "6"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1240}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1238}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Branch {#1239
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1505927
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Звук"
            "field_branch_order" => "7"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1244
              #items: array:1 [
                0 => App\Models\Term {#1241
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #original: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "6"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1243
              #items: array:1 [
                0 => App\Models\Book {#1205}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1242
              #items: array:1 [
                0 => App\Models\Branch {#1034}
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1505927
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Звук"
            "field_branch_order" => "7"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1244}
            "field_page_start" => "6"
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            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1243}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1242}
          ]
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          #touches: []
          +timestamps: true
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          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Branch {#1245
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1505948
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Исследовательские работы"
            "field_branch_order" => "69"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1249
              #items: array:1 [
                0 => App\Models\Term {#1246
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
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                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #touches: []
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                  #visible: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "29"
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            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1248
              #items: array:1 [
                0 => App\Models\Book {#1205}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1327
              #items: array:1 [
                0 => App\Models\Branch {#1247
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1505927
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Звук"
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                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_page_start" => "6"
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                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1252 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1286 …2}
                  ]
                  #original: array:24 [
                    "id" => 1505927
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Звук"
                    "field_branch_order" => "7"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1251 …2}
                    "field_page_start" => "6"
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                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
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                    "field_navigation_title" => null
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                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1252 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1286 …2}
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1505948
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Исследовательские работы"
            "field_branch_order" => "69"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1249}
            "field_page_start" => "29"
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            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
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            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1248}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1327}
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          #dispatchesEvents: []
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          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Branch {#1325
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1505951
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Темы исследовательских и проектных работ"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1326
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "32"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1328
              #items: array:1 [
                0 => App\Models\Book {#1205}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1337
              #items: array:1 [
                0 => App\Models\Branch {#1336
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1505948
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Исследовательские работы"
                    "field_branch_order" => "69"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1338 …2}
                    "field_page_start" => "29"
                    "field_branch_display" => "0"
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                    "field_display_branch_in_title" => "1"
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                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
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                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1339 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1340 …2}
                  ]
                  #original: array:24 [
                    "id" => 1505948
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Исследовательские работы"
                    "field_branch_order" => "69"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1338 …2}
                    "field_page_start" => "29"
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                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
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                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1339 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1340 …2}
                  ]
                  #changes: []
                  #casts: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1505951
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Темы исследовательских и проектных работ"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1326}
            "field_page_start" => "32"
            "field_branch_display" => "0"
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            "field_display_branch_in_title" => "1"
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            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1328}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1337}
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          +timestamps: true
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1114
      #items: array:2 [
        0 => App\Models\Element {#1185
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1803603
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:1 [
                0 => App\Models\Edition {#1184
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6617
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1167 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1182 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1179 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6617
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1167 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1182 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1179 …2}
                    "field_content_source" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1506637"
              "type" => "task"
            ]
            "text" => "<p>• Архитектурная акустика.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "7-1.jpg"
                "alt" => null
                "width" => "651"
                "height" => 131
                "path" => "/media/fizika_09/belaga-u/0-69temy/7-1.webp?ts=1762277362"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1803603
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1178}
            "task" => array:2 [
              "refs" => "1506637"
              "type" => "task"
            ]
            "text" => "<p>• Архитектурная акустика.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "7-1.jpg"
                "alt" => null
                "width" => "651"
                "height" => 131
                "path" => "/media/fizika_09/belaga-u/0-69temy/7-1.webp?ts=1762277362"
              ]
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
          #appends: []
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          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1180
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1856230
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:1 [
                0 => App\Models\Edition {#1177
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 7180
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1175 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1173 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1174 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1171 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 7180
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1175 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
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            "text" => "<p><strong>Архитектурная акустика</strong></p><p>Архитектурная акустика — это раздел акустики, который занимается изучением распространения звука в помещениях, а также разработкой методов и средств для создания оптимальной акустической среды в зданиях и сооружениях в соответствии с их назначением. Основная цель архитектурной акустики — обеспечить хорошее качество звука, будь то разборчивость речи, чистота музыкального звучания или защита от шума.</p><p>Ключевыми задачами, которые решает архитектурная акустика, являются:</p><p>• Обеспечение оптимального времени реверберации для данного типа помещения.</p><p>• Достижение равномерного распределения звуковой энергии по всему объему помещения.</p><p>• Предотвращение акустических дефектов, таких как эхо, флаттер-эхо (порхающее эхо), концентрация звука или звуковые тени.</p><p>• Обеспечение необходимой звукоизоляции от внешних и внутренних источников шума.</p><p>• Обеспечение высокой разборчивости речи или желаемого музыкального восприятия.</p><p>Для управления акустикой помещения используются различные физические принципы и явления:</p><p>• <strong>Поглощение звука:</strong> Преобразование звуковой энергии в тепловую при взаимодействии с поверхностями. Для этого применяются звукопоглощающие материалы, такие как акустический поролон, минеральная вата, специальные панели.</p><p>• <strong>Отражение звука:</strong> Отражение звуковых волн от твердых, гладких поверхностей. Форма и расположение отражающих поверхностей (стен, потолка) определяют, как звук будет распределяться по помещению.</p><p>• <strong>Рассеивание (диффузия) звука:</strong> Равномерное рассеивание звуковых волн в разных направлениях с помощью специальных конструкций — диффузоров. Это помогает избежать стоячих волн и эха, делая звуковое поле более однородным.</p><p>Одним из важнейших параметров акустического качества помещения является <strong>время реверберации</strong> ($T_{60}$) — время, за которое уровень звука в помещении спадает на 60 дБ после выключения его источника. Оптимальное время реверберации зависит от назначения и объема помещения. Например, для лекционных залов оно должно быть коротким (около 1 с) для обеспечения разборчивости речи, а для концертных залов, предназначенных для симфонической музыки, — более длинным (2–2.5 с) для придания звуку полноты и насыщенности.</p><p>Приближенно время реверберации можно рассчитать по формуле Сэбина:</p><p>$T_{60} = \frac{0.161 \cdot V}{A}$</p><p>где:</p><p>• $\text{V}$ — объём помещения, м³.</p><p>• $\text{A}$ — общая эквивалентная площадь звукопоглощения в помещении, м² (сэбин).</p><p>Величина $\text{A}$ рассчитывается как сумма произведений площадей всех поверхностей в помещении на их коэффициенты звукопоглощения: $A = \sum_{i=1}^{n} S_i \alpha_i$, где $S_i$ — площадь i-й поверхности, а $\alpha_i$ — её коэффициент звукопоглощения.</p><p>Архитектурная акустика находит применение при проектировании:</p><p>• Концертных залов, театров и оперных домов.</p><p>• Студий звукозаписи и вещания.</p><p>• Кинотеатров и домашних кинозалов.</p><p>• Лекционных аудиторий, конференц-залов и учебных классов.</p><p>• Офисов открытого типа (open space) для снижения уровня шума.</p><p>• Спортивных арен и многоцелевых залов.</p><p>Для достижения требуемых акустических характеристик архитекторы и инженеры-акустики используют компьютерное моделирование, а также применяют специальные акустические материалы и конструкции: стеновые и потолочные панели, акустические перегородки, диффузоры, басовые ловушки и т.д., а также тщательно продумывают геометрию (форму и пропорции) самого помещения.</p><p><strong>Ответ:</strong> Архитектурная акустика — это наука о проектировании помещений и зданий с целью достижения оптимальных акустических условий. Она изучает распространение, поглощение и отражение звука внутри замкнутых пространств и использует эти знания для управления звуком, обеспечивая разборчивость речи, качество музыки и защиту от шума. Основными инструментами являются контроль времени реверберации, правильное распределение звука с помощью отражающих и рассеивающих поверхностей, а также использование звукопоглощающих материалов для устранения нежелательных акустических эффектов.</p>"
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            "text" => "<p><strong>Архитектурная акустика</strong></p><p>Архитектурная акустика — это раздел акустики, который занимается изучением распространения звука в помещениях, а также разработкой методов и средств для создания оптимальной акустической среды в зданиях и сооружениях в соответствии с их назначением. Основная цель архитектурной акустики — обеспечить хорошее качество звука, будь то разборчивость речи, чистота музыкального звучания или защита от шума.</p><p>Ключевыми задачами, которые решает архитектурная акустика, являются:</p><p>• Обеспечение оптимального времени реверберации для данного типа помещения.</p><p>• Достижение равномерного распределения звуковой энергии по всему объему помещения.</p><p>• Предотвращение акустических дефектов, таких как эхо, флаттер-эхо (порхающее эхо), концентрация звука или звуковые тени.</p><p>• Обеспечение необходимой звукоизоляции от внешних и внутренних источников шума.</p><p>• Обеспечение высокой разборчивости речи или желаемого музыкального восприятия.</p><p>Для управления акустикой помещения используются различные физические принципы и явления:</p><p>• <strong>Поглощение звука:</strong> Преобразование звуковой энергии в тепловую при взаимодействии с поверхностями. Для этого применяются звукопоглощающие материалы, такие как акустический поролон, минеральная вата, специальные панели.</p><p>• <strong>Отражение звука:</strong> Отражение звуковых волн от твердых, гладких поверхностей. Форма и расположение отражающих поверхностей (стен, потолка) определяют, как звук будет распределяться по помещению.</p><p>• <strong>Рассеивание (диффузия) звука:</strong> Равномерное рассеивание звуковых волн в разных направлениях с помощью специальных конструкций — диффузоров. Это помогает избежать стоячих волн и эха, делая звуковое поле более однородным.</p><p>Одним из важнейших параметров акустического качества помещения является <strong>время реверберации</strong> ($T_{60}$) — время, за которое уровень звука в помещении спадает на 60 дБ после выключения его источника. Оптимальное время реверберации зависит от назначения и объема помещения. Например, для лекционных залов оно должно быть коротким (около 1 с) для обеспечения разборчивости речи, а для концертных залов, предназначенных для симфонической музыки, — более длинным (2–2.5 с) для придания звуку полноты и насыщенности.</p><p>Приближенно время реверберации можно рассчитать по формуле Сэбина:</p><p>$T_{60} = \frac{0.161 \cdot V}{A}$</p><p>где:</p><p>• $\text{V}$ — объём помещения, м³.</p><p>• $\text{A}$ — общая эквивалентная площадь звукопоглощения в помещении, м² (сэбин).</p><p>Величина $\text{A}$ рассчитывается как сумма произведений площадей всех поверхностей в помещении на их коэффициенты звукопоглощения: $A = \sum_{i=1}^{n} S_i \alpha_i$, где $S_i$ — площадь i-й поверхности, а $\alpha_i$ — её коэффициент звукопоглощения.</p><p>Архитектурная акустика находит применение при проектировании:</p><p>• Концертных залов, театров и оперных домов.</p><p>• Студий звукозаписи и вещания.</p><p>• Кинотеатров и домашних кинозалов.</p><p>• Лекционных аудиторий, конференц-залов и учебных классов.</p><p>• Офисов открытого типа (open space) для снижения уровня шума.</p><p>• Спортивных арен и многоцелевых залов.</p><p>Для достижения требуемых акустических характеристик архитекторы и инженеры-акустики используют компьютерное моделирование, а также применяют специальные акустические материалы и конструкции: стеновые и потолочные панели, акустические перегородки, диффузоры, басовые ловушки и т.д., а также тщательно продумывают геометрию (форму и пропорции) самого помещения.</p><p><strong>Ответ:</strong> Архитектурная акустика — это наука о проектировании помещений и зданий с целью достижения оптимальных акустических условий. Она изучает распространение, поглощение и отражение звука внутри замкнутых пространств и использует эти знания для управления звуком, обеспечивая разборчивость речи, качество музыки и защиту от шума. Основными инструментами являются контроль времени реверберации, правильное распределение звука с помощью отражающих и рассеивающих поверхностей, а также использование звукопоглощающих материалов для устранения нежелательных акустических эффектов.</p>"
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№7 (с. 32)
Условие. №7 (с. 32)
скриншот условия
Физика, 9 класс Учебник, авторы: Белага Виктория Владимировна, Воронцова Наталия Игоревна, Ломаченков Иван Алексеевич, Панебратцев Юрий Анатольевич, издательство Просвещение, Москва, 2024, голубого цвета, Часть 2, страница 32, номер 7, Условие

• Архитектурная акустика.

Решение. №7 (с. 32)

Архитектурная акустика

Архитектурная акустика — это раздел акустики, который занимается изучением распространения звука в помещениях, а также разработкой методов и средств для создания оптимальной акустической среды в зданиях и сооружениях в соответствии с их назначением. Основная цель архитектурной акустики — обеспечить хорошее качество звука, будь то разборчивость речи, чистота музыкального звучания или защита от шума.

Ключевыми задачами, которые решает архитектурная акустика, являются:

• Обеспечение оптимального времени реверберации для данного типа помещения.

• Достижение равномерного распределения звуковой энергии по всему объему помещения.

• Предотвращение акустических дефектов, таких как эхо, флаттер-эхо (порхающее эхо), концентрация звука или звуковые тени.

• Обеспечение необходимой звукоизоляции от внешних и внутренних источников шума.

• Обеспечение высокой разборчивости речи или желаемого музыкального восприятия.

Для управления акустикой помещения используются различные физические принципы и явления:

Поглощение звука: Преобразование звуковой энергии в тепловую при взаимодействии с поверхностями. Для этого применяются звукопоглощающие материалы, такие как акустический поролон, минеральная вата, специальные панели.

Отражение звука: Отражение звуковых волн от твердых, гладких поверхностей. Форма и расположение отражающих поверхностей (стен, потолка) определяют, как звук будет распределяться по помещению.

Рассеивание (диффузия) звука: Равномерное рассеивание звуковых волн в разных направлениях с помощью специальных конструкций — диффузоров. Это помогает избежать стоячих волн и эха, делая звуковое поле более однородным.

Одним из важнейших параметров акустического качества помещения является время реверберации ($T_{60}$) — время, за которое уровень звука в помещении спадает на 60 дБ после выключения его источника. Оптимальное время реверберации зависит от назначения и объема помещения. Например, для лекционных залов оно должно быть коротким (около 1 с) для обеспечения разборчивости речи, а для концертных залов, предназначенных для симфонической музыки, — более длинным (2–2.5 с) для придания звуку полноты и насыщенности.

Приближенно время реверберации можно рассчитать по формуле Сэбина:

$T_{60} = \frac{0.161 \cdot V}{A}$

где:

• $\text{V}$ — объём помещения, м³.

• $\text{A}$ — общая эквивалентная площадь звукопоглощения в помещении, м² (сэбин).

Величина $\text{A}$ рассчитывается как сумма произведений площадей всех поверхностей в помещении на их коэффициенты звукопоглощения: $A = \sum_{i=1}^{n} S_i \alpha_i$, где $S_i$ — площадь i-й поверхности, а $\alpha_i$ — её коэффициент звукопоглощения.

Архитектурная акустика находит применение при проектировании:

• Концертных залов, театров и оперных домов.

• Студий звукозаписи и вещания.

• Кинотеатров и домашних кинозалов.

• Лекционных аудиторий, конференц-залов и учебных классов.

• Офисов открытого типа (open space) для снижения уровня шума.

• Спортивных арен и многоцелевых залов.

Для достижения требуемых акустических характеристик архитекторы и инженеры-акустики используют компьютерное моделирование, а также применяют специальные акустические материалы и конструкции: стеновые и потолочные панели, акустические перегородки, диффузоры, басовые ловушки и т.д., а также тщательно продумывают геометрию (форму и пропорции) самого помещения.

Ответ: Архитектурная акустика — это наука о проектировании помещений и зданий с целью достижения оптимальных акустических условий. Она изучает распространение, поглощение и отражение звука внутри замкнутых пространств и использует эти знания для управления звуком, обеспечивая разборчивость речи, качество музыки и защиту от шума. Основными инструментами являются контроль времени реверберации, правильное распределение звука с помощью отражающих и рассеивающих поверхностей, а также использование звукопоглощающих материалов для устранения нежелательных акустических эффектов.

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