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27 Nov 2019

A guitar string has a tension T, length L, and diameter D. Give themultiplicative factor by which the fundamental frequency of thestring changes under the following conditions: (a) The tension inthe string is increased by a factor of 4. The diameter is D and thelenght is L. (b) The diameter of the string is increased by afactor of 3. The tension is T and the length is L. (c) The lengthof the string is halved. The tension is T and the diameter isD.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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A string of length L, mass per unit length μ, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency? (a) The length of the string is doubled, with all other factors held constant. (b) The mass per unit length is doubled, with all other factors held constant. (c) The tension is doubled, with all other factors held constant.

A string of length L, mass per unit length μ, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency?
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