Question

A man stands at the midpoint between two speakers that are broadcasting an amplified static hiss uniformly in all directions. The speakers are 28.0 m apart and the total power of the sound coming from each speaker is 0.602 W. Find the total sound intensity the man hears when (a) he is at his initial position halfway between the speakers, and (b) after he has walked 3.0 m directly towards one of the speakers

Answer 1

Ok, so Intensity = Power/Area
Intensity of sound expanding in a sphere will be I=Power/(4pi*radius^2)
a) Power = 0.602, A= (4pi*(28.0/2)^2
Intensity = 0.602/2463.01
Intensity + 2.44E-4
Thats for one speaker. So multiply it by 2 for a total Intensity of 4.888E-4
b) For this we'll add the two intensity values.
Intensity (close speaker)= 0.602/(4pi(14-3)^2)
=3.959E-4
Intensity (further speaker)= 0.602/(4pi(14+3)^2)
=1.658E-4
So add the two intensity values for a total intensity of 5.617E-4.
Ran through that math quickly so you might need to check my work or rounding.