Two identical piano wires have a fundamental frequency of 600 Hz when kept under the same tension.  What percent increase in the tension of one wire will lead to a 9 beat frequency when both wires are vibrating simultaneously.  Use beat frequency = higher frequency - lower frequency to find the new frequency.  The wavelength stays the same so frequency will be proportional to wave speed.  Use v = (T/μ)0.5to determine the required % increase in tension to increase the wave speed

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Two identical piano wires have a fundamental frequency of 600 Hz when kept under the same tension.  What percent increase in the tension of one wire will lead to a 9 beat frequency when both wires are vibrating simultaneously.  Use beat frequency = higher frequency - lower frequency to find the new frequency.  The wavelength stays the same so frequency will be proportional to wave speed.  Use v = (T/μ)0.5to determine the required % increase in tension to increase the wave speed.

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