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 - General Problems - Page 357: 90

Answer

The beat frequency is $2.6 ~Hz$

Work Step by Step

(a) We can find the frequency detected from the speaker the person is approaching. $f' = (1+\frac{v_{obs}}{v_{snd}})~f$ $f' = (1+\frac{1.6~m/s}{343~m/s})~(282~Hz)$ $f' = 283.3~Hz$ We can find the frequency detected from the speaker that the person is moving away from. $f' = (1-\frac{v_{obs}}{v_{snd}})~f$ $f' = (1-\frac{1.6~m/s}{343~m/s})~(282~Hz)$ $f' = 280.7~Hz$ The beat frequency is the difference in the two frequencies which are detected. The beat frequency is $283.3~Hz-280.7~Hz$ which is $2.6 ~Hz$.
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