Show that if the tension in a stretched string is changed

Chapter 15, Problem 15.80

(choose chapter or problem)

Show that if the tension in a stretched string is changed bya small amount AF^, the frequency of the fundamental ischanged by an amount A/ = l(A.FT/FT)f. (b) By whatpercent must the tension in a piano string be increased ordecreased to raise the frequency from 436 Hz to 442 Hz.(c) Does the formula in part (a) apply to the overtones as well?

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