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How to find wavelength with only distance

  1. Mar 3, 2013 #1
    1. The problem statement, all variables and given/known data
    zekp8kV.png
    A metal rod attached to a tube with both closed ends is stimulated to create waves inside the tube.

    If:
    L = 1.0 m
    d = 0.05 m
    Speed of sound in air = 340 m/s
    Speed of sound in metal = 1,000 m/s

    Calculate the value of x using the wavelength of air.

    2. Relevant equations
    Frequency = Velocity / Wavelength

    3. The attempt at a solution
    The frequency of the the metal is the same as the frequency in air, so:

    1,000 / (2*1.0) = 340 / wavelength of air

    Because the wavelength of the metal is 2 * L.

    340 / 500 = wavelength of air
    0.68 = wavelength of air

    How do I calculate wavelength with only the distance between two nodes (d)? I need x from wavelength according to the problem's instructions so I have to work backwards but I don't know any formulas for this one.
     
    Last edited: Mar 3, 2013
  2. jcsd
  3. Mar 3, 2013 #2
    Wavelength is the distance between two nearest nodes = d. Can you clarify what you are trying to find?
     
  4. Mar 3, 2013 #3
    I thought the wavelength was the distance between 3 nodes, since between two nodes is only half the cycle. This is where I'm confused...is the wavelength between two nodes, or is the wavelength between 3 successive nodes? Because I thought the distance between two nodes only completed half the cycle.
     
  5. Mar 3, 2013 #4
    Sorry, you are right. What I meant to say was distance between two crests, which is what the diagram shows, I think.
     
  6. Mar 3, 2013 #5

    CWatters

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    Wavelength.jpg
     
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