Question

A man stands at the midpoint between two speakers that are broadcasting an amplified static hiss uniformly in all directions. The speakers are 32.7 m apart and the total power of the sound coming from each speaker is 0.480 W.

(a) Find the total sound intensity that the man hears when he is at his initial position halfway between the speakers.
W/m²

(b) Find the total sound intensity that the man hears after he has walked 3.9 m directly toward one of the speakers.

Answer 1

Solution:

Given, distance between the speakers

power of each speaker

(a) When the person is halfway

At halfway, the person will be at from each speaker. At halfway, the intensity of sound is given by,

(b) When the person moves 3.9m towards one speaker, the he is at 12.45m from that speaker and 20.25m from the other. , So, Intensity is given by,