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B Why does loudness of sound vary as square of amplitude?

  1. Mar 9, 2016 #1
    Why does loudness of sound vary as square of amplitude? Why not cube of amplitude or just amplitude?
     
  2. jcsd
  3. Mar 9, 2016 #2
    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:
     
    Last edited: Mar 10, 2016
  4. Mar 10, 2016 #3

    Svein

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    Loudness is a much more complicated thing, as it (usually) refers to what the human ear perceives.
    400px-Lindos1.svg.png
    See https://en.wikipedia.org/wiki/Loudness for more information.
     
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