When she tightens the string slightly she hears 6 beatss., Ask an Expert

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Q. While attempting to tune the note C at 532 Hz, a piano tuner hears 5 beats/s between a reference oscillator and the string.

(1) What are the possible frequencies of string?

(2) When she tightens the string slightly, she hears 6 beats/s. What is the frequency of string now?

(3) By what percentage must the piano tuner now change the tension in the string to bring it into tune? (Give a positive answer for an increase in the tension, or a negative answer for a decrease in the tension.)

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