14.3 a) If the sound intensity level is 75 dB, what is the intensity in W/m2 ? b

Question

14.3 a) If the sound intensity level is 75 dB, what is the intensity in W/m2 ? b) If the sound intensity level is 135 dB, what is the intensity in W/m2 ?

14.4 The power output of a spherical source is 2.3 x 104 W. a) What is the intensity in W/m2 at a location 3 m from the source? b) What is the sound intensity level in decibels at a location 3 m from the source? c) What is the intensity in W/m2 at a location 20 m from the source? b) What is the sound intensity level in decibels at a location 20 m from the source?

Explanation / Answer

14.3

A.

Sound level intensity is given by:

SL = 10*log (I/I0)

I0 = 10^-12 W/m^2

Given that SL = 75 dB

75 = 10*log (I/I0)

log (I/I0) = 75/10

I/I0 = 10^7.5

I = 10^-12*10^7.5

I = 3.162*10^-5 W/m^2

B.

when SL 135 dB

I = 10^-12*10^13.5

I = 31.62 W/m^2

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