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Physics 1

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A steel wire in a piano has a length of 0.5000 m and a mass of 3.800 10-3 kg. To what tension must this wire be stretched in order that the fundamental vibration correspond to middle C (fC = 261.6 Hz on the chromatic musical scale)?

  • Physics 1 -

    λ =2L=2•0.5 = 1 m
    v= λ•f=1•261.6 = 261.6 m/s
    v = sqrt(T/m₀)=
    =sqrt(T•L/m)
    v²= T•L/m
    T= v²m/L=261.6²•3.8•10⁻³/0.5=520.10 N

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