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College Physics (Urone)
Found in: Page 629
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

The warning tag on a lawn mower states that it produces noise at a level of \(91.0\;{\rm{dB}}\). What is this in watts per meter squared?

The intensity is \(1.3 \times {10^{ - 3}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\).

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given data

The intensity level is \(91.0\;{\rm{dB}}\).

Step 2: The Sound intensity

The sound intensity results in loudness, which is the sound intensity ratio with the threshold. The intensity increases with the decrease in speed of sound in a medium.

Step 2: Calculation of the intensity

Use the intensity level,

\({\rm{dB}} = 10\log \frac{I}{{{{10}^{ - 12}}}}\)

Substituting the values,

\(\begin{align}91.0 &= 10\log \frac{I}{{{{10}^{ - 12}}}}\\\frac{{91.0}}{{10}} &= \log \frac{I}{{{{10}^{ - 12}}}}\\{10^{9.1}} &= \frac{I}{{{{10}^{ - 12}}}}\\I &= {10^{9.1}} \times {10^{ - 12}}\\I &= 1.3 \times {10^{ - 3}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\end{align}\)

The noise in watts per meter squared is \(1.3 \times {10^{ - 3}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)

Most popular questions for Physics Textbooks

Can the average person tell that a \[{\rm{2002}}\;{\rm{Hz}}\]sound has a different frequency than a \[{\rm{1999}}\;{\rm{Hz}}\] sound without playing them simultaneously?

What is the minimum speed at which a source must travel toward you for you to be able to hear that its frequency is Doppler shifted? That is, what speed produces a shift of \({\rm{0}}{\rm{.300\% }}\)on a day when the speed of sound is\({\rm{331}}\;{\rm{m/s}}\)?

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Question: Ten cars in a circle at a boom box competition produce a \(120\;{\rm{dB}}\)sound intensity level at the center of the circle. What is the average sound intensity level produced there by each stereo, assuming interference effects can be neglected?
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