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A constrained string with a length of 8.5 meters is vibrating at its fundamental frequency of 113.1 Hz. What is the frequency of the 7th harmonic on this string?

  • Science -

    The fundamental (first harmonic) wavelength is 17.0 meters.
    Second harmonic: 8.5 m
    Third harmonic: 5.67 m
    Sixth harmonic: 2.83 m
    Seventh harmonic: 2.429 m

    Frequency*wavelength = constant
    = 1923 m/s
    Seventh harmonic frequency = 792 Hz

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