A1056-hertz tuning fork is struck at the same time as a note on the piano and you hear 2 beats/second. you tighten the piano string very slightly and then hear 3 beats/second. what is the frequency of the piano string?

The frequency of the piano string is 1059 Hz.

Explanation:

The frequency beat (fb), 2 beats/second, is the absolute difference between the frequency of the tuning fork (1056 Hz) and the frequency of the piano string.

As the piano string gets tightened, the frequency beat becomes 3 beats/second.

Therefore,

fb =

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