Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 12 - Sound - Problems - Page 356: 58

Answer

The horns emit a frequency of 82 Hz

Work Step by Step

We can find an expression for the frequency detected by the stationary driver from the horn in the moving car. $f' = \frac{f}{(1-\frac{v_{source}}{v_{snd}})}$ $f' = \frac{f}{(1-\frac{18~m/s}{343~m/s}~)}$ $f' = 1.055~f$ The beat frequency is the difference between the two frequencies. We can find the frequency $f$. $f'-f = 4.5~Hz$ $1.055f-f = 4.5~Hz$ $0.055f = 4.5~Hz$ $f = \frac{4.5~Hz}{0.055}$ $f = 82~Hz$ The horns emit a frequency of 82 Hz.
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