   Chapter 14, Problem 22P

Chapter
Section
Textbook Problem

An outside loudspeaker (considered a small source) emits sound waves with a power output of 100 W. (a) Find the intensity 10.0 m from the source. (b) Find the intensity level in decibels at that distance. (c) At what distance would you experience the sound at the threshold of pain, 120 dB?

(a)

To determine
The intensity 10.0 m from the source.

Explanation

Given Info: The power output of the loudspeaker is 100 W and distance from source where the intensity is measured is 10 m.

Formula for power emitted by the source,

P=I(4πr2)

• r is the distance from the source.

Rearrange the expression in terms of I

I=P4πr2

Substitute 100W for P and 10 m for r in the above expression to get I

(b)

To determine
The intensity level in decibels at this distance.

(c)

To determine
The distance from the speaker threshold of pain is experienced.

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