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 5.0*10^(−3)W/m^2. What is the total sound power P emitted by the source?

dannigurl21ck2

dannigurl21ck2

Answered question

2022-11-07

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 5.0 × 10 3 W / m 2 . What is the total sound power P emitted by the source?

Answer & Explanation

Geovanni Shelton

Geovanni Shelton

Beginner2022-11-08Added 15 answers

Total sound emitted by source is calculated as:
I = P A / A
P=IA
Note that sound spreads in all the directions, so we have:
P = I 4 π r 2
Substitute values and we get:
P = 5 10 3 4 3.14 12 2 = 9.04 W
Result:
P=9.04W

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