Sound Intensity Video Lessons

Concept

# Problem: 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-W speaker at a distance of 1.0 m.B) Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m.C) Find the intensity I of the sound waves produced by four 60-W speakers 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.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 d from 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=

###### FREE Expert Solution

Intensity:

$\overline{){\mathbf{I}}{\mathbf{=}}\frac{\mathbf{P}\mathbf{o}\mathbf{w}\mathbf{e}\mathbf{r}}{\mathbf{A}\mathbf{r}\mathbf{e}\mathbf{a}}}$

(A)

The area is spherical

I = P/A = P/(4πr2) = 60/(4π × 12) = 4.77 W/m2

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###### Problem Details

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-W speaker at a distance of 1.0 m.

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

C) Find the intensity I of the sound waves produced by four 60-W speakers 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.

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 from 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=