Architectural Acoustics

Appendix A: Summary of Useful Formulas

GENERAL

Character:


where T p

= period of one complete vibration (s)

f

= frequency (Hz)


where ?

= wavelength (ft)

c

= speed of sound in air (ft/s)

f

= frequency (Hz)

Magnitude:


where L i

= sound intensity level (decibels, abbreviated dB)

l

= sound intensity (watts/meter squared, abbreviated W/m 2)

l 0

= reference sound intensity (W/m 2, usually taken as 10 ?12 W/m 2 or the equivalent 10 ?16 W/cm 2)


where L P

= sound pressure level (dB)

P

= sound pressure (newtons/meter squared, abbreviated N/m 2, or pascals, abbreviated Pa)

P 0

= reference sound pressure (N/m 2, always taken as 0.00002 N/m 2

Note

L P may be considered equal to L l in most architectural acoustics situations.


where L w

= sound power level (dB)

W

= sound power (W)

W 0

= reference sound power (W, usually taken as 10 ?12 W)

Note

L w is used by testing laboratories to rate a sound source independently of its environment.

Noise Reduction:


where NR

= noise reduction, or the difference in sound levels between two conditions (dB)

L 1

= sound level under one condition, usually taken as the higher value (dB)

L 2

= sound level under another condition (dB)


where NR

= [see formula (6)]

l 1

= sound intensity under one condition (W/m 2)

l 2

= sound intensity under another condition (W/m 2)

SOUND...

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