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A popular car stereo has four speakers, each rated at 60 W. In answering the following...

A popular car stereo has four speakers, each rated at 60 W. In answering the following questions, assume that the speakers produce sound at their maximum power.

A)   Find the intensity I of the sound waves produced by one 60-Wspeaker at a distance of 1.0 m.

Answer: 4.8 W/m^2

B) Find the intensity I of the sound waves produced by one 60-Wspeaker at a distance of 1.5 m.

Answer: 2.1 W/m^2

C) Find the intensity I of the sound waves produced by four 60-Wspeakers as heard by the driver. Assume that the driver is located 1.0 m from each of the two front speakers and 1.5 m from each of the two rear speakers.

Answer: 13.8 W/m^2

D)The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10^(-12) W/m2. Find the distance dfrom the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment.

d=

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Answer #1

Intensity 60 =4.77 win 2 4m(1 Intensity 60 2.12 W/m2 4t(1.5) (c) For multiple speakers we just have to add the powers of these two. And, since there are four speakers, multiply it by 2 1-(4.77 +2.12)×2 13.8 W/m Again, 0.06x4 4x3.14x10-12 1.38x10 m

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