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Natural Frequency and wavelength

  1. Oct 29, 2008 #1
    1. The problem statement, all variables and given/known data
    The portion of a piano string between the bridge and upper end of the finger board is 0.50 meters long. The string when plucked sounds a note of 440Hz- the first harmonic.

    a. where must the violinist put a finder to pay a C note- 528Hz
    b Without returning, is it possible to play a D note- 294 Hz

    2. Relevant equations

    3. The attempt at a solution
    V(1)/(2)(.5)=440 Hz
    V=440 m/s

    L=.416, so the violinist must put his finger up .083 meters

    b. 440(1)/2L=294
    L=.748 meters, so no he can not.

    Does my work make sense?
  2. jcsd
  3. Oct 29, 2008 #2


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    Yes, looks good.
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