REVERBERATION TIME
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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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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
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
ROOM VOLUME
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
ROOM VOLUME
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
ROOM VOLUME
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
ROOM VOLUME
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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
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
OPTIMUM REVERBERATION TIME
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #1
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #1
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #1
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #2
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #2
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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).
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REVERBERATION TIME
DEFINITION
FORMULA
ROOM VOLUME CALCULATIONS
SABINE CALCULATIONS
OPTIMUM REVERBERATION TIME
SAMPLE PROBLEMS
SAMPLE PROBLEM #3
FORMULA:
RT= 0.05 VOLUME/TOTAL SABINS
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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
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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
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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
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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
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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
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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
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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
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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
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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).
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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
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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
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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