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Building Services Engineering 5th Edition Handbook

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Room acoustics 333<br />

The human ear is most sensitive to sounds around 1000 Hz, making this the critical frequency<br />

for the acoustic design engineer.<br />

Sound pressure level in a plant room<br />

The sound source space is normally the mechanical services plant room. The reverberant sound<br />

pressure level in a plant room can be taken as<br />

SPL 1 = SWL + 10 × log(T 1 ) − 10 × log(V 1 ) + 14 dB<br />

(Sound Research Laboratories Limited; see also, Smith et al. (1985)), where<br />

SPL 1 = sound pressure level in plant room<br />

dB<br />

SWL = sound power level of source mechanical plant dB<br />

T 1 = reverberation time of plant room<br />

s<br />

V 1 = volume of plant room m 3<br />

The reverberant sound pressure level is independent of the measurement location within the<br />

room. When a sound pressure level is required at a known location, the earlier equation is used<br />

with the radius from the source, r m,<br />

(<br />

Q<br />

SPL = SWL + 10 × log 10<br />

4 × π × r 2 + 4 )<br />

dB<br />

R<br />

EXAMPLE 14.4<br />

A refrigeration compressor has an overall sound power level of 86 dB on the ’A’ scale. The<br />

plant room has a reverberation time of 2 s and a volume of 70 m 3 . Calculate the plant<br />

room reverberant sound pressure level.<br />

SWL = 86 dBA<br />

T 1 = 2s<br />

V 1 = 70 m 3<br />

SPL 1 = SWL + 10 × log(T 1 ) − 10 × log(V 1 ) + 14 dB<br />

= 86 + 10 × log(2) − 10 × log(70) + 14 dB<br />

= 83 + 3 − 18 + 14 dBA ignoring decimal places<br />

= 85 dBA<br />

Outdoor sound pressure level<br />

The sound pressure level in the outdoor environment immediately external to the plant room can<br />

be taken as:<br />

SPL 2 = SPL 1 − B + 10 × log(S 2 ) − 20 × log(d) + DI − 17 dB

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