Suppose that a public address system emits sound uniformly in all directions and that there are no r

Micah Haynes

Micah Haynes

Answered question

2022-05-09

Suppose that a public address system emits sound uniformly in all directions and that there are no reflections. The intensity at a location 27 m away from the sound source is 3.0 × 10 4 W m 2 . What is the intensity at a spot that is 87 m away?

Answer & Explanation

garcialdariamcy4q

garcialdariamcy4q

Beginner2022-05-10Added 15 answers

I have assumed that the inverse square law is followed here:
I 1 d 2
I = k d 2
For the 1st case we can write:
I 1 = k 27 2
k = 3 × 10 4 × 27 2 = 0.2187 W
For the 2nd case:
I 2 = k 87 2 = 0.2187 7569
I 2 = 2.89 × 10 5 W / m 2

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