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 355: 50

Answer

The beat frequency is $3.7~Hz$

Work Step by Step

We can find the new frequency $f_n$ when the original tension $F_t$ is decreased by 2.5%. $f_n = \frac{v}{2L}$ $f_n = \frac{1}{2L}~\sqrt{\frac{0.975F_T}{\mu}}$ $f_n = (\sqrt{0.975})~\frac{1}{2L}~\sqrt{\frac{F_T}{\mu}}$ $f_n = (\sqrt{0.975})~f$ $f_n = (\sqrt{0.975})~(294~Hz)$ $f_n = 290.3~Hz$ Since the beat frequency is the difference between the two frequencies, the beat frequency is $3.7~Hz$.
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