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6. The room pictured has the following absorption coefficients at 500 Hz: Floor: Carpet, a = 0.14 Ceiling: Acoustic Ceiling Tile, a = 0.70 Walls: Gypsum Wallboard, a = 0.10 a. Calculate the total absorption in this room. b. Calculate the reverberation time. c. Calculate the mean free path. 6m 8 m 2 m

6. The room pictured has the following absorption coefficients at 500 Hz: Floor: Carpet, a = 0.14 Ceiling: Acoustic Ceiling Tile, a = 0.70 Walls: Gypsum Wallboard, a = 0.10 a. Calculate the total absorption in this room. b. Calculate the reverberation time. c. Calculate the mean free path. 6m 8 m 2 m

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Room Acoustics Problem** **Room Description:** - **Dimensions:** Length = 8 m, Width = 6 m, Height = 2 m - **Absorption Coefficients at 500 Hz:** - Floor (Carpet): \( \alpha = 0.14 \) - Ceiling (Acoustic Ceiling Tile): \( \alpha = 0.70 \) - Walls (Gypsum Wallboard): \( \alpha = 0.10 \) **Tasks:** a. **Calculate the total absorption in this room.** b. **Calculate the reverberation time.** c. **Calculate the mean free path.** **Diagram:** The diagram shows a rectangular room with the following dimensions labeled: - Length: 8 meters - Width: 6 meters - Height: 2 meters Arrows indicate dimensions along the length and width of the room. The height is indicated by a vertical line on the side of the room.
Transcribed Image Text:**Room Acoustics Problem** **Room Description:** - **Dimensions:** Length = 8 m, Width = 6 m, Height = 2 m - **Absorption Coefficients at 500 Hz:** - Floor (Carpet): \( \alpha = 0.14 \) - Ceiling (Acoustic Ceiling Tile): \( \alpha = 0.70 \) - Walls (Gypsum Wallboard): \( \alpha = 0.10 \) **Tasks:** a. **Calculate the total absorption in this room.** b. **Calculate the reverberation time.** c. **Calculate the mean free path.** **Diagram:** The diagram shows a rectangular room with the following dimensions labeled: - Length: 8 meters - Width: 6 meters - Height: 2 meters Arrows indicate dimensions along the length and width of the room. The height is indicated by a vertical line on the side of the room.
Expert Solution
Step 1

Given:

Absorption Coefficients:

1. For Floor:

α=0.14

2. For Ceiling: 

α=0.70

3. For walls:

α=0.10

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