Solved: (a) Estimate the power output of sound from a

Chapter 13, Problem 13P

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QUESTION:

(II) (a) Estimate the power output of sound from a person speaking in normal conversation. Use Table 12-2. Assume the sound spreads roughly uniformly over a sphere centered on the mouth. (b) How many people would it take to produce a total sound output of \(100 \mathrm{~W}\) of ordinary conversation? [Hint: Add intensities, not dB's.]

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QUESTION:

(II) (a) Estimate the power output of sound from a person speaking in normal conversation. Use Table 12-2. Assume the sound spreads roughly uniformly over a sphere centered on the mouth. (b) How many people would it take to produce a total sound output of \(100 \mathrm{~W}\) of ordinary conversation? [Hint: Add intensities, not dB's.]

ANSWER:

Step 1 of 3

(a)

The expression for the output power is given by;

                                                                           

Here  is the power,  is the intensity and  is the area.

The surface area of the sphere is . So the output power of the sound wave can be taken as

                                                                    

 

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