Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - Problems - Page 324: 49

Answer

$f_1=440Hz$ $f_2=880 Hz$ $f_3=1320 Hz$ $f_4=1760 Hz$

Work Step by Step

The frequencies of the harmonics for a string that is fixed at both ends are given by equation 11-19b. $$f_n=nf_1$$ The first four harmonics are: $$f_1=440Hz$$ $$f_2=2 \times 440Hz=880 Hz$$ $$f_3=3 \times 440Hz=1320 Hz$$ $$f_4=4 \times 440Hz=1760 Hz$$
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