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Guitar stringplease help

  1. Nov 27, 2007 #1
    1. The problem statement, all variables and given/known data
    A. A typical steel B-string in a guitar resonates in its fundamental frequency at 240 Hz. The length of the string is 0.680 m. What is the wave velocity in the string?

    B. The tension in the above string is 86.8 N. Calculate the mass of a 2 m long piece of the steel string.

    C. What is the wavelength of the third harmonic of the guitar string described above?

    2. Relevant equations
    f = v/2L
    Wavelength = 2L/m

    3. The attempt at a solution
    A. 326.4
    How do I calculate B and C??
     
  2. jcsd
  3. Nov 27, 2007 #2

    rl.bhat

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    B. In stretched string velocity v = sqrt(T/m) where T is the tentsion and m is the mass per unit length of the wire.
    CDuring the third harminc the number of loops in the string will be 3.
     
  4. Nov 27, 2007 #3
    I am sorry but I don't understand how to calculate B still.
     
  5. Nov 27, 2007 #4
    Does anyone know how to do these?
     
  6. Nov 27, 2007 #5
    Anyone? I need help :( I'm not figuring this out...
     
  7. Nov 27, 2007 #6

    rl.bhat

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    v = sqrt(T/m)
    326.4 = sqrt(86.8/m). Square both the sides
    326.4^2 = 86.8/m
    m= 86.8/326.4^2
    Mass of 2 m wire = 2m
    Now solve.
     
  8. Nov 27, 2007 #7
    Okay so I get 0.00163 kg...how about part C?
     
  9. Nov 27, 2007 #8
    I get 834.87 for part C using wavelength = 2L/m
     
  10. Nov 27, 2007 #9

    rl.bhat

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    I get 834.87 for part C using wavelength = 2L/m

    Wave length of third harmonic = 2L/3
     
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