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A guitar string is 92 cm long and has a mass of 3.7 g. The length L from the bridge to the support post is 65 cm, and the string is under a tension of 570 N. What is the frequency of the fundamental tone

thanks!

  • physics -

    Velocity in the stretched string is
    v = sqrt(TL₀/m) =
    =sqrt(570•0.92/0.0037) = 376 m/s,
    λ =2L =2•0.65 = 1.3 m,
    λ = v/f =>
    f=v/λ =376/1.3=289 Hz.

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