College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Review & Synthesis: Chapters 9-12 - Review Exercises - Page 470: 26


The fundamental frequency of the string is $17,300~Hz$

Work Step by Step

We can find the wave speed along the string: $v = \sqrt{\frac{Y}{\rho}}$ $v = \sqrt{\frac{9.0\times 10^{10}~Pa}{8500~kg/m^3}}$ $v = 3254~m/s$ We can find the fundamental frequency: $f = \frac{v}{\lambda}$ $f = \frac{v}{2L}$ $f = \frac{3254~m/s}{(2)(0.094~m)}$ $f = 17,300~Hz$ The fundamental frequency of the string is $17,300~Hz$.
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