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

14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

See similar textbooks

Concept explainers

Interference of sound

Seiche

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…

Question

Chapter 16, Problem 16.32E

To determine

The length of the pipe.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16, Problem 16.31E

Chapter 16, Problem 16.33E

Students have asked these similar questions

Show that the units 1 v2/Q = 1 W, as implied by the equation P = V²/R. Starting with the equation P = V²/R, we can get an expression for a watt in terms of voltage and resistance. The units for voltage, V, are equivalent to [? v2 v2 A, are equivalent to J/C ✓ X . Therefore, 1 = 1 = 1 A V1 J/s Ω V-A X = 1 W. . The units for resistance, Q, are equivalent to ? The units for current,

Please solve and answer the question correctly please. Thank you!!

Chapter 16 Solutions

University Physics (14th Edition)

Ch. 16 - Prob. Q16.1DQ Ch. 16 - The hero of a western movie listens for an...Ch. 16 - Would you expect the pitch (or frequency) of an...Ch. 16 - In most modern wind instruments the pitch is...Ch. 16 - Symphonic musicians always warm up their wind...Ch. 16 - In a popular and amusing science demonstration, a...Ch. 16 - Prob. Q16.7DQ Ch. 16 - (a) Does a sound level of 0 dB mean that there is...Ch. 16 - Which has a more direct influence on the loudness...Ch. 16 - If the pressure amplitude of a sound wave is...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The length of the pipe.

Solution Summary: The author explains that the length of the pipe is 62.0cm and the gauge of it is 7.25 g. The fundamental frequency of sound causes the wire to vibrate in its

Concept explainers

The length of the pipe.

Want to see the full answer?

Chapter 16 Solutions