The A-string on a guitar is 0.648 m long and has a linear mass density of 4.25 g/m. If the string is perfectly in tune, then the third harmonic should have a frequency of 330 Hz. However, on a particular out-of-tune guitar, the A-string's third harmonic is measured to be 319 Hz. By how much should the tension be increased in order to bring the A-string back into tune? (You may ignore any slight changes to the linear mass density of the string that might result from the tuning process.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The A-string on a guitar is 0.648 m long and has a linear mass
density of 4.25 g/m. If the string is perfectly in tune, then the
third harmonic should have a frequency of 330 Hz. However, on
a particular out-of-tune guitar, the A-string's third harmonic is
measured to be 319 Hz. By how much should the tension be
increased in order to bring the A-string back into tune? (You
may ignore any slight changes to the linear mass density of the
string that might result from the tuning process.)
Transcribed Image Text:The A-string on a guitar is 0.648 m long and has a linear mass density of 4.25 g/m. If the string is perfectly in tune, then the third harmonic should have a frequency of 330 Hz. However, on a particular out-of-tune guitar, the A-string's third harmonic is measured to be 319 Hz. By how much should the tension be increased in order to bring the A-string back into tune? (You may ignore any slight changes to the linear mass density of the string that might result from the tuning process.)
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