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A source emits sound uniformly in all directions. There are no reflections of the sound. At a distance of 12 m from the source, the intensity of the sound is 3.5 × 10-3 W/m2. What is the total sound power P emitted by the source?

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MechEngineer

Answer:

1.58 W

Explanation:

Since the sound spreads uniformly in all directions, it must be in a form of a circle with radius of 12 m. So the area of the circle is

[tex]A = \pi r^2 = \pi 12^2 = 452.389 m^2[/tex]

From the intensity of the sound we can calculate the power at 12 m

[tex]P = AI = 452.389 * 3.5\times10^{-3} = 1.58 W[/tex]

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