Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 17 - Waves-II - Problems - Page 513: 103

Answer

$f'=400$ HZ

Work Step by Step

To find the apparent frequency of the tone, use the Doppler effect equation, which is $$f'=f(\frac{v \pm v_o}{v \mp v_s})$$ where $v$ is the speed of sound, $v_o$ is the speed of the observer, and $v_s$ is the speed of the source. Since the observer is moving away from the source, the frequency should sound lower than the true frequency. Therefore, by substituting in values, the apparent frequency is $$f'=(440Hz)(\frac{340m/s-80.0m/s}{340m/s-54.0m/s})=400. Hz$$
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