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Homework Help: How much tension should be in the string if it is to produce resonance?

  1. Feb 17, 2010 #1
    1. The problem statement, all variables and given/known data
    A 73.4 cm long guitar string of mass 2.21 g is placed near a tube open at one end, and also 73.4cm long. How much tension should be in the string if it is to produce resonance (in its fundamental mode) with the third harmonic in the tube?

    2. Relevant equations
    v=sqrt(T/(m/L))
    f=(nv)/4L

    3. The attempt at a solution
    The wavelength of the note produced in the string = 2*.734 m
    The velocity of the waves in the string = sqrt ( T / ( 0.00223 / 0.734 ) )
    Frequency = sqrt ( T / ( 0.00221 / 0.734 ) ) / (2*0.734)
    Frequency of the wave of the tube = 343 / (4*0.734 / 5)
    So
    343 / (4*0.734 / 5) = sqrt ( T / ( 0.00221 / 0.734 ) ) / (2*0.734)

    The answer doesn't work for me, though.
     
  2. jcsd
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