Why does loudness of sound vary as square of amplitude?

  • #1
Why does loudness of sound vary as square of amplitude? Why not cube of amplitude or just amplitude?
 

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  • #2
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You obtain this result on the mathematical derivation of the intensity.

Edit : This is for the intensity of the sound wave. The loudness(in dB), is measured as β = log(I/I0)dB, where I0 = 10-12W/m2.

You seem to be confused between intensity and loudness:smile:
 
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  • #3
Svein
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