Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 32P

(a)

To determine

The possible frequencies of the String.

(b)

To determine

The frequency of the string when string is tightened.

(c)

To determine

The percentage change required in the tension of the string of the piano to bring it into tune.

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One string of a certain musical instrument is 74.0 cm long and has a mass of 8.76 g. It is being played in a room where the speed of sound is 344 m/s. To what tension must you adjust the string so that, when vibrating in its second overtone, it produces sound of wavelength 0.760  m ? (Assume that the breaking stress of the wire is very large and isn’t exceeded.)  What frequency sound does this string produce in its fundamental mode of vibration?
A person is playing a small flute 10.75 cm long, open at one end and closed at the other, near a taut string having a fundamental frequency of 600.0 Hz. If the speed of sound is 344.0 m/s, for which harmonics of the flute will the string resonate? In each case, which harmonic of the string is in resonance?
Two sitar strings A and B playing the note ‘Dha’ are slightly out of tune and produce beats of frequency 5 Hz. The tension of the string B is slightly increased and the beat frequency is found to decrease to 3 Hz. What is the original frequency of B if the frequency of A is 427 Hz ?

Chapter 17 Solutions

Physics for Scientists and Engineers with Modern Physics

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