Type your question hereA piano tuner sounds two strings simultaneously. One has

Question

Type your question hereA piano tuner sounds two strings simultaneously. One has been previously tuned to vibrate at 300.0 Hz. The tuner hears 2.0 beats per second. The tuner increases the tension on the as-yet untuned string, and now when they are played together the beat frequency is 0.8 s?1.

Type your question hereA piano tuner sounds two strings simultaneously. One has been previously tuned to vibrate at 300.0 Hz. The tuner hears 2.0 beats per second. The tuner increases the tension on the as-yet untuned string, and now when they are played together the beat frequency is 0.8 s?1. By what percentage did the tuner increase the tension on that string?

Explanation / Answer

as frequency is directly propotional to square root of tension,

initial frequency was 300-2=298 Hz

and new frequency=300-0.8=299.2 Hz

so % increase in tension=0.8069 %

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