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Finding length of tube, air column, standing waves

  1. Sep 8, 2007 #1
    1. The problem statement, all variables and given/known data

    A 50-cm-long wire with a mass of 1.0 g and a tension of 440 N passes across the open end of an open-closed tube of air. The wire, which is fixed at both ends, is bowed at the center so as to vibrate at its fundamental frequency and generate a sound wave. Then the tube length is adjusted until the fundamental frequency of the tube is heard. What is the length of the tube?

    Speed of sound is 340 m/s

    2. Relevant equations

    ½L √(T/µ) = f
    Vsound = 340 m/s

    3. The attempt at a solution

    I keep getting 0.362m or 36.2 cm but it is incorrect..any help?
  2. jcsd
  3. Sep 9, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Show your work step by step.

    Hint: For a tube closed at one end, how does length relate to the wavelength for the fundamental frequency?
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