Sound System Design Equations

Civil Engineering Design

Sound Design Equations

Sound Power (W) - the amount of power a source converts to sound in watts.

Sound Power Level (LW) - a logarithmic comparison of sound power output by a source to a reference sound source, W0 = (10 -12 watt).

LW = 10 log 10(W/W0 ) dB

Sound Pressure (P) - pressure associated with sound output from a source. Sound pressure is what the human ear reacts to.

Sound Pressure Level (Lp) - a logarithmic comparison of sound pressure output by a source to a reference sound source, P 0 (2 x 10-5 Pa).

Lp = 20 log 10(P/P0) dB

Even though sound power level and sound pressure level are both expressed in dB, There is not a direct conversion between Sound power level and sound pressure level. A constant sound power output will result in significantly different sound pressures and sound pressure levels when the source is placed in different environments.

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