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REVERBERATION TIME DEFINITION:

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Presentation on theme: "REVERBERATION TIME DEFINITION:"— Presentation transcript:

1 REVERBERATION TIME DEFINITION:
FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS DEFINITION: THE TIME REQUIRED FOR SOUND TO DECAY 60 DECIBELS AFTER THE SOURCE HAS STOPPED. REVERBERATION TIME

2 REVERBERATION TIME FORMULA: REVERBERATION TIME =
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS FORMULA: REVERBERATION TIME = 0.05 X ROOM VOLUME TOTAL # OF SABINES FORMULA

3 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS ROOM VOLUME

4 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS ROOM VOLUME

5 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS ROOM VOLUME

6 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS ROOM VOLUME

7 REVERBERATION TIME SABINES: THE NUMBER OF SABINES =
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SABINES: THE NUMBER OF SABINES = SURFACE AREA X THE ABSORPTION COEFFICIENT SABINES

8 OPTIMUM REVERBERATION TIME
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS OPTIMUM REVERBERATION TIME

9 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #1

10 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #1

11 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #1

12 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #2

13 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #2

14 REVERBERATION TIME DETERMINE THE REVERBERATION TIME, AT 500 HERTZ, OF A CYLINDRICAL ROOM WITH A DOMED CEILING. GIVEN: THE CYLINDER HEIGHT IS 25 FEET. THE CYLINDER & THE DOME HAVE A DIAMETER OF 50 FEET. THE FLOOR IS HEAVY CARPET, ON FOAM RUBBER (ABSORPTION COEFFICIENT =0.57). WALLS ARE COARSE CONCRETE BLOCK (ABSORPTION COEFFICIENT = 0.31) THE DOMED CEILING IS PLASTER ON LATH (ABSORPTION COEFFICIENT = 0.06). DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS SAMPLE PROBLEM #3

15 REVERBERATION TIME FORMULA: RT= 0.05 VOLUME/TOTAL SABINS DEFINITION
ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS FORMULA: RT= 0.05 VOLUME/TOTAL SABINS SAMPLE PROBLEM #3

16 REVERBERATION TIME STEP #1: DETERMINE ROOM VOLUME CYLINDER:
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #1: DETERMINE ROOM VOLUME CYLINDER: V = (502) X 25 4 V = (2500) X 25’ V = 49,087.4 CUBIC FEET SAMPLE PROBLEM #3

17 REVERBERATION TIME STEP #1: DETERMINE ROOM VOLUME DOME: DEFINITION
FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #1: DETERMINE ROOM VOLUME DOME: V = X H2 [R-9H/3)] V = (625) X [25-(25/3)] V = 32,724.9 CUBIC FEET SAMPLE PROBLEM #3

18 REVERBERATION TIME STEP #1: DETERMINE ROOM VOLUME
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #1: DETERMINE ROOM VOLUME TOTAL VOLUME = 49, ,724.9 = 81,812.3 CUBIC FEET SAMPLE PROBLEM #3

19 REVERBERATION TIME STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS WALLS: AREA = 2 X ( ) R X H = 2 X ( ) 25’X25’ = 3927 SF SABINS = AREA X ABSORPTION COEFFICIENT = 3927 X 0.31 = SABINS SAMPLE PROBLEM #3

20 REVERBERATION TIME STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS FLOOR: AREA = ( )R2 = ( )252 = SF SABINS = AREA X ABSORPTION COEFFICIENT = X 0.57 = SABINS SAMPLE PROBLEM #3

21 REVERBERATION TIME STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS CEILING: SURFACE AREA = (H2 + R2) = ( ) = 3927 SF SABINS = AREA X ABSORPTION COEFFICIENT = 3927 X 0.06 = SABINS SAMPLE PROBLEM #3

22 REVERBERATION TIME STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS TOTAL # OF SABINS: STOT = WALLS + FLOOR + CEILING STOT = STOT = 2,572.2 SABINS SAMPLE PROBLEM #3

23 REVERBERATION TIME STEP #3: CALCULATE THE REVERBERATION TIME
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP #3: CALCULATE THE REVERBERATION TIME RT = 0.05 X (VOLUME/TOTAL SABINS) = 0.05 X (81,812.3/2572.2) = HERTZ SAMPLE PROBLEM #3

24 REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS WHAT WOULD THE REVERBERATION TIME BE IF THE CARPET IS REPLACED WITH A CONCRETE FLOOR? GIVEN: THE CYLINDER HEIGHT IS 25 FEET. THE CYLINDER & THE DOME HAVE A DIAMETER OF 50 FEET. THE FLOOR IS CONCRETE (ABSORPTION COEFFICIENT = 0.02) WALLS ARE COARSE CONCRETE BLOCK (ABSORPTION COEFFICIENT = 0.31) THE DOMED CEILING IS PLASTER ON LATH (ABSORPTION COEFFICIENT = 0.06). SAMPLE PROBLEM #4

25 REVERBERATION TIME STEP 1: DETERMINE THE TOTAL NUMBER OF SABINS FLOOR:
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP 1: DETERMINE THE TOTAL NUMBER OF SABINS FLOOR: AREA = ( )R2 = ( )252 = SF SABINS = AREA X ABSORPTION COEFFICIENT = X 0.02 = 39.3 SABINS SAMPLE PROBLEM #4

26 REVERBERATION TIME STEP 2: DETERMINE THE TOTAL NUMBER OF SABINS
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP 2: DETERMINE THE TOTAL NUMBER OF SABINS TOTAL # OF SABINS: STOT = WALLS + FLOOR + CEILING STOT = STOT = SABINS SAMPLE PROBLEM #4

27 REVERBERATION TIME STEP 3: CALCULATE REVERBERATION TIME
DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS STEP 3: CALCULATE REVERBERATION TIME RT = 0.05 X (VOLUME/TOTAL SABINS) = 0.05 X (81,812.3/1492.3) = HERTZ SAMPLE PROBLEM #4

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