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Homework Help: Relating resonance with two different Pipes

  1. Aug 16, 2011 #1
    1. The problem statement, all variables and given/known data

    A pipe, open at one end, has a leng
    produces pipe A, open at one end, and pipe B, o

    A pipe, open at one end, has a length L. Cutting this pipe crosswise
    produces pipe A, open at one end, and pipe B, open at both ends.
    a. For what length of pipe A will the third lowest resonant frequency of pipe A be equal
    to the lowest resonant frequency of pipe B?


    2. Relevant equations

    v = (lambda)(f)

    5th harmonic of A, f = (5v)/(4L)
    1st Harmonic of B, f = v/2L

    3. The attempt at a solution

    I've been fairly stumped by this one. I don't get exactly how to set it up. I tried setting the frequencies equal to each other, but it doesn't work.
     
  2. jcsd
  3. Aug 16, 2011 #2
    I'm really just looking for a hint to set me on the right path.
     
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