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Homework Help: Highest harmonic of a string within typical human's audible range

  1. Sep 26, 2008 #1
    1. The problem statement, all variables and given/known data

    What is the highest harmonic of this string that is within the typical human's audible range (up to 20000 Hz)

    String length of 16m
    u = liner density = 0.015 g/cm = 0.0015 kg/m
    stretched tension of the string = 557N

    2. Relevant equations

    v= sqrt ( F/ u)

    v= lamba * frequency

    lamba = 2 Length / n


    3. The attempt at a solution

    v= sqrt ( F/ u) = sqrt ( 557/0.0015 ) = 609.37

    up to human's typical audible frequency = 20000 Hz

    v= lamba * frequency
    609.37 = lamba * 20 000 Hz
    lamba = 0.0304685

    therefore lamba = 2 length /n

    0.0304685 = (2* 16) / n

    n=1050.265

    Ans: the highest harmonic of the string that is within human's audible range = 1050 harmonics.

    Am i right?...
     
  2. jcsd
  3. Sep 26, 2008 #2

    Redbelly98

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    Yes, well done.
     
  4. Sep 26, 2008 #3
    thaank...u.... :)
     
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