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Physics: Calculate the frequency of a guitar string.

When a guitar string is sounded along with a 440 Hz tuning fork, a beat frequency of 5Hz is heard. When the same string is sounded along with a 436 Hz tuning fork, the beat frequency is 9 Hz. What is the frequency of the string?

Solution Preview

Let f denote the unknown frequency of the guitar string.
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<br>Now, the beat frequency is defined as fbeat = |f-fknown| where the bars denote "modulus or absolute value".
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<br>Thus, we have 2 equations:
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<br>5 Hz =|f-440| .......... (i)
<br>Let f denote the unknown frequency of the guitar ...

Solution Summary

The solution carefully explains the calculations used to arrive at two answers to the problem.

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