A tight guitar string has a frequency of 540 Hz as its

Chapter 13, Problem 28P

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QUESTION:

Problem 28P

A tight guitar string has a frequency of 540 Hz as its third harmonic. What will be its fundamental frequency if it is fingered at a length of only 60% of its original length?

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QUESTION:

Problem 28P

A tight guitar string has a frequency of 540 Hz as its third harmonic. What will be its fundamental frequency if it is fingered at a length of only 60% of its original length?

ANSWER:

Solution 28PIntroductionWe will use the linear thermal expansion to find out by how much the length of the rod willincreaseSolutionStep 1The linear thermal expansion is given byL = LtWhere, L is the change in length, is the coefficient of linear thermal expansion, L is theinitial length of the rod and t is the change in temperature.

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