Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 16 - Traveling Waves - Exercises and Problems: 74

Answer

The highest frequency heard by a student is 619 Hz and the lowest frequency is 582 Hz

Work Step by Step

We can find the speed of the sound generator as: $v = (100~rpm)\times \frac{(2\pi)(1.0~m)}{1~rev}\times (\frac{1~min}{60~s})$ $v = 10.5~m/s$ We can find the highest frequency heard by a stationary observer as: $f' = \frac{f}{(1-\frac{v_{source}}{v_{snd}})}$ $f' = \frac{600~Hz}{(1-\frac{10.5~m/s}{343~m/s}~)}$ $f' = 619~Hz$ We can find the lowest frequency heard by a stationary observer as: $f' = \frac{f}{(1+\frac{v_{source}}{v_{snd}})}$ $f' = \frac{600~Hz}{(1+\frac{10.5~m/s}{343~m/s}~)}$ $f' = 582~Hz$ The highest frequency heard by a student is 619 Hz and the lowest frequency is 582 Hz.
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