REVERBERATION TIME DEFINITION:

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 = 3.1415(502) X 25 4 V = 3.1415 (2500) X 25’ V = 49,087.4 CUBIC FEET SAMPLE PROBLEM #3

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 = 3.1415 X H2 [R-9H/3)] V = 3.1415 (625) X [25-(25/3)] V = 32,724.9 CUBIC FEET SAMPLE PROBLEM #3

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 = 49,087.4 + 32,724.9 = 81,812.3 CUBIC FEET SAMPLE PROBLEM #3

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 (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 SAMPLE PROBLEM #3

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 = (3.14159)R2 = (3.14159)252 = 1963.5 SF SABINS = AREA X ABSORPTION COEFFICIENT = 1963.5 X 0.57 = 1119.2 SABINS SAMPLE PROBLEM #3

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 = 3.14159 (H2 + R2) = 3.14159 (252 +252) = 3927 SF SABINS = AREA X ABSORPTION COEFFICIENT = 3927 X 0.06 = 235.6 SABINS SAMPLE PROBLEM #3

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 = 1217.4 + 1119.2 + 235.6 STOT = 2,572.2 SABINS SAMPLE PROBLEM #3

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) = 1.59 SECONDS @ 500 HERTZ SAMPLE PROBLEM #3

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

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 = (3.14159)R2 = (3.14159)252 = 1963.5 SF SABINS = AREA X ABSORPTION COEFFICIENT = 1963.5 X 0.02 = 39.3 SABINS SAMPLE PROBLEM #4

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 = 1217.4 + 39.3 + 235.6 STOT = 1492.3 SABINS SAMPLE PROBLEM #4

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) = 2.74 SECONDS @ 500 HERTZ SAMPLE PROBLEM #4