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Two piano strings are supposed to be vibrating at 132 Hz, buta piano tuner hears

ID: 1668354 • Letter: T

Question

Two piano strings are supposed to be vibrating at 132 Hz, buta piano tuner hears three beats every 2 seconds when they areplayed together. (a) If one os vibrating at 132 Hz, what must bethe frequency of the other (is there only one answer)? I have no idea what a beat is. Please help! Two piano strings are supposed to be vibrating at 132 Hz, buta piano tuner hears three beats every 2 seconds when they areplayed together. (a) If one os vibrating at 132 Hz, what must bethe frequency of the other (is there only one answer)? I have no idea what a beat is. Please help!

Explanation / Answer

We know that beat frequency                 f2 - f1 = ± f                 f2 - 132 = ± (3 beats / 2s)             ==> f2 = 132 ± 1.5 = 130.5 Hz or 133.5Hz

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