A violinist is tuning her instrument to concert a 440 hz, Ask an Expert

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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 of frequency 5.00 Hz, which increases to 6.00 Hz when she tightens her violin string slightly.

A) what was the frequency of her violin when she heard the 5.00 Hz beat?

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 440 Hz beat?

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