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Length of an organ (closed at one end)

  1. Apr 20, 2013 #1
    1. The problem statement, all variables and given/known data
    What would be the length of an organ pipe, closed at one end if the fundamental frequency is 355Hz. Assume the temperature is 10°C.

    2. Relevant equations
    equation 1. V = λf
    equation 2. λ = 4L/n where n = 1
    3. The attempt at a solution

    So we will do this by rearranging equation one and substituting in for λ in equation 2
    Equation one becomes.
    λ = v/f
    So sub into equation 2
    (v/f) = 4L/n
    Rearranging for L , we get.
    L = Vn / 4f

    Now from class I have the equation to calculate the velocity of sound given a temp so we can get v.
    v = (331 + 0.6( 10°C))m/s
    v = 337 m/s
    Putting it all together.
    L = (337m/s) / (4(355Hz))
    L = .2373 m

    Is this correct? Thanks
     
  2. jcsd
  3. Apr 20, 2013 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Yes, that looks correct.
     
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