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A certain source of sound waves radiates uniformly in all directions. At a distance of 20 m from...

Question:

A certain source of sound waves radiates uniformly in all directions. At a distance of 20 m from the source, the intensity level is 51 dB.

a) What is the intensity (in {eq}W/m^2 {/eq}) of the sound waves at that distance from the source? (Note: The reference intensity {eq}I0 {/eq} is {eq}1.0 \times 10^{-12}\ W/m^2 {/eq}.)

b) What is the total acoustic power output of the source, in watts?

Sound Intensity Level:

Sound intensity levels denote a given sound wave's sound intensity in terms of decibels (dB). The sound intensity level (SIL) is the basis of the loudness of a sound. The SIL is a function of the intensity of the wave itself, and it can be determined as:

{eq}\displaystyle \rm \beta = 10log_{10} \left(\frac{I}{1\ \times\ 10^{-12}\ W/m^2}\right) {/eq}

where:

  • {eq}\displaystyle \rm I {/eq} is the intensity of the sound

Answer and Explanation: 1

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Given:

  • {eq}\displaystyle r = 20\ m {/eq} is the distance from the source
  • {eq}\displaystyle \beta = 51\ dB {/eq} is the sound intensity level
  • {eq}...

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Intensity in Physics: Definition & Measurement

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Chapter 5 / Lesson 10
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This lesson explains what wave intensity in physics is, and it explains the intensity of light formula with examples. This lesson also describes how to calculate intensity of sound waves.


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