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Musical Tube and String (Standing wave)

  1. Jun 24, 2009 #1
    1. The problem statement, all variables and given/known data
    A brass tube of mass 20 kg and length 1.1 m is closed at one end. A wire of mass 9.6 g and length 0.4 meters is stretched near the open end of the tube. When the wire is plucked, it oscillates at its fundamental frequency. By resonance, it sets the air column in the tube oscillating at the column's fundamental frequency.

    a) What is the frequency of oscillation of the air in the tube ?

    b) What is the tension in the wire?
    2. Relevant equations
    Tension=(u/(time*L)) where u is the mass/length and L is the total length


    3. The attempt at a solution
    I know we need natural freq. but I don't know how to find it from the given data. I think the wave length is 1.1m or some fraction of that length. Any help would be appreciated.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 24, 2009 #2

    LowlyPion

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    Homework Helper

    The fundamental frequency can be surmised from the length of the tube can't it?

    f = v/(4L)

    Since it is the same fundamental frequency of the wire, and you know the mass/unit length of the wire, ...
     
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