   Chapter 14, Problem 70AP

Chapter
Section
Textbook Problem

A typical sound level for a buzzing mosquito is 40 dB, and that of a vacuum cleaner is approximately 70 dB. Approximately how many buzzing mosquitoes will produce a sound intensity equal to that of a vacuum cleaner?

To determine
The number of buzzing mosquitoes will produce a sound intensity.

Explanation

Given Info: The sound level in vacuum cleaner is 70 dB, let the sound intensity of the vacuum cleaner be x.

Formula to calculate the sound intensity is,

IL=10log10(II0)

• IL is the sound intensity level of vacuum cleaner.
• I0 is the reference intensity.
• I is the intensity of the vacuum cleaner.

Substitute 70dB for IL , x for I , and 1012 for I0 to find IL .

70dB=10log10(x1012)x=105 (1)

Thus, the sound intensity of the vacuum cleaner is x=105 .

Formula to calculate the sound intensity is,

IL=10log10(II0)

• IL is the sound intensity level of mosquito.
• I0 is the reference intensity.
• I is the intensity of the mosquito.

Substitute 40dB for IL , y for I , and 1012 for I0 to find IL

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