A source of sound is located at the center of two concentric spheres, parts of w

Question

A source of sound is located at the center of two concentric spheres, parts of which are shown in the drawing. The source emits sound uniformly in all directions. On the spheres are drawn three small patches that may or may not have equal areas. However, the same sound power passes through each patch. The source produces2.9 W of sound power, and the radii of the concentric spheres are rA = 0.50 m and rB = 0.90 m.(a) Determine the sound intensity at each of the three patches. (b) The sound power that passes through each of the patches is 2.1 × 10-3 W. Find the area of each patch.

Explanation / Answer

man stands at the midpoint between two speakers that are broadcasting an amplified static hiss uniformly in all directions. The speakers are 31.0 m apart and the total power of the sound coming from each speaker is 0.580 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 5.0 m directly towards one of the speakers a=??? b=??? a) Intensity = Power / 4?d^2. Power of one speaker = 0.580/2 = 0.290 W Intensity due to the two speakers = 2* 0.290/ (4?15.5^2). = 1.92e-4 W/m^2 ================================ b) Intensity due to the one speakers = 2* 0.290/ (4?10.5^2). Since d = 15.5 -5 And due to the other speaker = 2* 0.290/ (4? 20.5^2). Since d= 15.5 +5 Total intensity = 2* 0.290/ (4?10.5^2) + 2* 0.290/ (4? 20.5^2). = 5.28e-4 W/m^2

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