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Sound of Music - Closed Organ Pipe

  1. Apr 20, 2009 #1
    1. One closed organ pipe has a length of 2.40m.
    a. What is the frequency of the note played by this pipe?
    b. When a second pipe is played at the same time, a 1.40 Hz beat note is heard. By how much is the second pipe too long?




    2. f = nv/2L (n = 1)
    change of f = absolute value of f2 - f1




    3. a. f = nv/2L (n = 1)
    = 1(343)/2(2.4)
    = 71.46 Hz

    b. change of f = absolute value of f2 - f1
    -1.4 = f2 - 71.46 1.4 = f2 - 71.46
    f2 = 70.06, 72.86

    f = nv/2L
    70.06 = 343/2L 72.86 = 343/2L
    140.12 L = 343 145.72 L = 343
    L = 2.4479 L = 2.3538
    2.4 - 2.4479 = 0.048 m
     
  2. jcsd
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