. The perceived loudness of a sound in decibels (dB) is relatedto its intensity I in

Chapter 0, Problem 53

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QUESTION:

The perceived loudness  of a sound in decibels  is related to its intensity  in watts per square meter \(\left(W / m^{2}\right)\) by the equation

\(\beta=10 / \log \left(I / I_{0}\right)\)

where \(I_{0}=10^{-12} W / m^{2}\). Damage to the average ear occurs at  or greater. Find the decibel level of each of the following sounds and state whether it will cause ear damage.

Equation  Transcription:

Text Transcription:

(W/m^2)

beta=10/log(I/I_0)

I_0=10^-12 W/m^2

Questions & Answers

QUESTION:

The perceived loudness  of a sound in decibels  is related to its intensity  in watts per square meter \(\left(W / m^{2}\right)\) by the equation

\(\beta=10 / \log \left(I / I_{0}\right)\)

where \(I_{0}=10^{-12} W / m^{2}\). Damage to the average ear occurs at  or greater. Find the decibel level of each of the following sounds and state whether it will cause ear damage.

Equation  Transcription:

Text Transcription:

(W/m^2)

beta=10/log(I/I_0)

I_0=10^-12 W/m^2

ANSWER:

Step 1 of 5

The loudness  is given as,

Given that

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