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Chapter 10: Q. 211 (page 1035)

In the following exercises, use a logarithmic model to solve.

What is the decibel level of the sound of a garbage disposal with intensity 10-2watts per square inch?

Short Answer

Expert verified

The decibel level of the sound of a garbage disposal is100 dB.

Step by step solution

01

Step 1. Concept used 

The loudness level, D, measured in decibels, of a sound of intensity, I, measured in watts per square inch is D=10logI10-12.

02

Step 2. Substitute the value of I

It is given that the intensity is 10-2watts per square inch. So in the formula D=10logI10-12, substitute 10-2for Iand simplify.

D=10log10-210-12D=10log10-2-(-12)D=10log1010D=10路10D=100

So the decibel level for the normal conversation is 100dB.

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