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REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM...

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

REVERBERATION TIME

DEFINITION:THE TIME REQUIRED FOR SOUND TO DECAY 60 DECIBELS AFTER THE SOURCE HAS STOPPED.

Page 2: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

FORMULA

FORMULA:REVERBERATION TIME =

0.05 X ROOM VOLUME TOTAL # OF SABINES

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

ROOM VOLUME

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

ROOM VOLUME

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

ROOM VOLUME

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

ROOM VOLUME

Page 7: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SABINES

SABINES:THE NUMBER OF SABINES =

SURFACE AREA X THE ABSORPTION COEFFICIENT

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

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

OPTIMUM REVERBERATION TIME

Page 9: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #1

Page 10: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #1

Page 11: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #1

Page 12: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #2

Page 13: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #2

Page 14: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

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).

Page 15: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

FORMULA:

RT= 0.05 VOLUME/TOTAL SABINS

Page 16: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #1: DETERMINE ROOM VOLUME

CYLINDER:

V = 3.1415(502) X 25 4 V = 3.1415 (2500) X 25’ 4V = 49,087.4 CUBIC FEET

Page 17: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #1: DETERMINE ROOM VOLUME

DOME:

V = 3.1415 X H2 [R-9H/3)]V = 3.1415 (625) X [25-(25/3)]

V = 32,724.9 CUBIC FEET

Page 18: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #1: DETERMINE ROOM VOLUME

TOTAL VOLUME = 49,087.4 + 32,724.9 = 81,812.3 CUBIC FEET

Page 19: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS

WALLS:

AREA = 2 X (3.14159) R X H = 2 X (3.14159) 25’X25’ = 3927 SF

SABINS = AREA X ABSORPTION COEFFICIENT = 3927 X 0.31 = 1217.4 SABINS

Page 20: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS

FLOOR:

AREA = (3.14159)R2 = (3.14159)252 = 1963.5 SF

SABINS = AREA X ABSORPTION COEFFICIENT

= 1963.5 X 0.57 = 1119.2 SABINS

Page 21: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS

CEILING:

SURFACE AREA = 3.14159 (H2 + R2) = 3.14159 (252 +252) = 3927 SF

SABINS = AREA X ABSORPTION COEFFICIENT

= 3927 X 0.06 = 235.6 SABINS

Page 22: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #2: DETERMINE THE TOTAL NUMBER OF SABINS

TOTAL # OF SABINS:

STOT = WALLS + FLOOR + CEILINGSTOT = 1217.4 + 1119.2 + 235.6 STOT = 2,572.2 SABINS

Page 23: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #3

STEP #3: CALCULATE THE REVERBERATION TIME

RT = 0.05 X (VOLUME/TOTAL SABINS) = 0.05 X (81,812.3/2572.2)

= 1.59 SECONDS @ 500 HERTZ

Page 24: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #4

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).

Page 25: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #4

STEP 1: DETERMINE THE TOTAL NUMBER OF SABINS

FLOOR:

AREA = (3.14159)R2 = (3.14159)252

= 1963.5 SF

SABINS = AREA X ABSORPTION COEFFICIENT

= 1963.5 X 0.02 = 39.3 SABINS

Page 26: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #4

STEP 2: DETERMINE THE TOTAL NUMBER OF SABINS

TOTAL # OF SABINS:

STOT = WALLS + FLOOR + CEILINGSTOT = 1217.4 + 39.3 + 235.6

STOT = 1492.3 SABINS

Page 27: REVERBERATION TIME DEFINITION FORMULA ROOM VOLUME CALCULATIONS SABINE CALCULATIONS OPTIMUM REVERBERATION TIME SAMPLE PROBLEMS REVERBERATION TIME DEFINITION:

REVERBERATION TIME

DEFINITION

FORMULA

ROOM VOLUME CALCULATIONS

SABINE CALCULATIONS

OPTIMUM REVERBERATION TIME

SAMPLE PROBLEMS

SAMPLE PROBLEM #4

STEP 3: CALCULATE REVERBERATION TIME

RT = 0.05 X (VOLUME/TOTAL SABINS)

= 0.05 X (81,812.3/1492.3)

= 2.74 SECONDS @ 500 HERTZ


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