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Unless indicated otherwise, assume the speed of | Ch 16 - 30E

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 30E Chapter 16

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 30E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. Singing in the Shower. ?A pipe closed at both ends can have standing waves inside of it, but you normally don’t hear them because little of the sound can get out. But you ?can hear them if you are ?inside the pipe, such as someone singing in the shower. (a) Show that the wavelengths of standing waves in a pipe of length L that is closed at both ends are ?n = 2L/n and the frequencies are given by fn = nv/2L = nf1, where n = 1, 2, 3, …. (b) Modeling it as a pipe, find the frequency of the fundamental and the first two overtones for a shower 2.50 m tall. Are these frequencies audible?

Step-by-Step Solution:

Solution 30E Problem (a) Step 1: Pipe closed at both end 2L To prove that n = n wavelength L - Length of the pipe n - harmonics (n = 0, 1, 2..)

Step 2 of 3

Chapter 16, Problem 30E is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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Unless indicated otherwise, assume the speed of | Ch 16 - 30E