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: 60

Answer

The beat frequency is $3.2~Hz$

Work Step by Step

We can find the frequency received at the stationary platform from the tuba on the approaching train. $f' = \frac{f}{(1-\frac{v_{source}}{v_{snd}})}$ $f' = \frac{75~Hz}{(1-\frac{14.0~m/s}{343~m/s}~)}$ $f' = 78.2~f$ The beat frequency is the difference between the two frequencies $75~Hz$ and $78.2~Hz$. Therefore, the beat frequency is $3.2~Hz$.
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