Explanation Given Info: The length of the wire is 62.0 cm , the gauge of the wire is 7.25 g , the tension on the wire is 4110 N , the fundamental frequency of the sound causes the wire to vibrate in its second overtone with very large amplitude and the speed of the sound in air is 344 m/s . Formula to calculate the frequency of the second overtone is, f 3 wire = 3 v wire 2 L wire f 3 wire is the frequency of the second overtone. v wire is the speed of the sound in the wire. L wire is the length of the wire. Formula to calculate the frequency of the fundamental wave in a closed pipe, f 1 pipe = v 4 L pipe f 1 pipe is the frequency of the fundamental wave. L pipe is the length of the pipe. When the length of the closed pipe is adjusted in such a way that the pipe produces sound at its fundamental frequency and the wire vibrates at its second overtone, at this point the corresponding frequencies are equal. Thus, f 3 wire = f 1 pipe Substitute 3 v wire / 2 L wire for f 3 wire and v / 4 L pipe for f 1 pipe in the above equation to find L pipe . 3 v wire 2 L wire = v 4 L pipe L pipe = 2 L wire v 12 v wire = L wire v 6 v wire (I) Formula to calculate the speed of the sound in the wire is, v wire = T μ (II) v wire is the speed of the sound in the wire

University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)

14th Edition

ISBN: 9780134308142

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Interference of sound

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A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water includ…

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Chapter 16, Problem 16.32E

To determine

The length of the pipe.

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Chapter 16, Problem 16.31E

Chapter 16, Problem 16.33E

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University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)

Ch. 16.1 - You use an electronic signal generator to produce...Ch. 16.2 - Mercury is 13.6 times denser than water. Based on...Ch. 16.3 - Prob. 16.3TYU Ch. 16.4 - If you connect a hose to one end of a metal pipe...Ch. 16.5 - A stopped organ pipe of length L has a fundamental...Ch. 16.6 - Suppose that speaker A in Fig. 16.23 emits a...Ch. 16.7 - One tuning fork vibrates at 440 Hz, while a second...Ch. 16.8 - You are at an outdoor concert with a wind blowing...Ch. 16.9 - What would you hear if you were directly behind...Ch. 16 - Prob. 16.1DQ

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