ceceshelby7772 ceceshelby7772
  • 03-07-2019
  • Physics
contestada

If the amplitude of a sound wave is tripled, by what factor will the intensity increase?

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skyluke89
skyluke89 skyluke89
  • 09-07-2019

Answer:

By a factor 9

Explanation:

The intensity of a sound wave is proportional to the square of the amplitude of the wave:

[tex]I \propto A^2[/tex]

where

I is the intensity

A is the amplitude of the wave

In this problem, the amplitude of the sound wave is increased by a factor 3:

A' = 3A

So the intensity would change by

[tex]I' \propto A'^2 = (3A)^2 = 9 A^2 = 9I[/tex]

So, the intensity would increase by a factor 9.

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