44. While attempting to tune the note C at 523 Hz, a pianotuner hears 2.00 beats

Question

44. While attempting to tune the note C at 523 Hz, a pianotuner hears 2.00 beats/s between a reference oscillator and thestring. a) What are the possible frequencies of the string? b) When she tightens the string slightly, she hears 3 beats/s.What is the frequency of the string now? 44. While attempting to tune the note C at 523 Hz, a pianotuner hears 2.00 beats/s between a reference oscillator and thestring. a) What are the possible frequencies of the string? b) When she tightens the string slightly, she hears 3 beats/s.What is the frequency of the string now?

Explanation / Answer

523Hz a) 2 beats/sec means that the other frequency is 2 Hz off, so thechoices are 521Hz and 525Hz. b) Upon tightening, she hears 3 beats, now the string is 3Hz off.When the string is tightened, the frequency increases. so the frequency rose by 3 Hz, 523 + 3 = 526Hz

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