Unless indicated otherwise,

Chapter 16, Problem 39E

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QUESTION:

Problem 39E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Tuning a Violin. A violinist is tuning her instrument to concert A (440 Hz). She plays the note while listening to an electronically generated tone of exactly that frequency and hears a beat frequency of 3 Hz, which increases to 4 Hz when she tightens her violin string slightly. (a) What was the frequency of the note played by her violin when she heard the 3-Hz beats? (b) To get her violin perfectly tuned to concert A, should she tighten or loosen her string from what it was when she heard the 3-Hz beats?

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QUESTION:

Problem 39E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Tuning a Violin. A violinist is tuning her instrument to concert A (440 Hz). She plays the note while listening to an electronically generated tone of exactly that frequency and hears a beat frequency of 3 Hz, which increases to 4 Hz when she tightens her violin string slightly. (a) What was the frequency of the note played by her violin when she heard the 3-Hz beats? (b) To get her violin perfectly tuned to concert A, should she tighten or loosen her string from what it was when she heard the 3-Hz beats?

ANSWER:

Solution to 39E

Step 1

Frequency of concert A, F1=440Hz

Beat frequency heard f=3Hz

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