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Beat frequency of keyboard

  1. Jun 11, 2009 #1
    1. The problem statement, all variables and given/known data
    In certain ranges of a piano keyboard, more
    than one string is tuned to the same note to
    provide greater intensity. For example, the
    note at 162 Hz has two strings at this pitch.
    If one string slips from its normal tension of
    645 N to 516 N, what beat frequency will be
    heard when the two strings are struck simul-
    taneously? Answer in units of beats/s.


    2. Relevant equations
    f(beat)=f1-f2


    3. The attempt at a solution

    Am i using the right equation?
     
  2. jcsd
  3. Jun 11, 2009 #2
    I think so...also you will need the relationship between the tension in the string and the frequency of vibration
     
  4. Jun 11, 2009 #3
    how would I do that because
    the question is asking me beats per sec
    how would i get ther relationship between the tension and the frequency
     
  5. Jun 11, 2009 #4

    Redbelly98

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    That equation is indeed helpful for solving this problem. You'll need to figure out the second frequency however.
     
  6. Jun 11, 2009 #5

    Redbelly98

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    What equation does your textbook have that involves the string tension?
     
  7. Jun 11, 2009 #6
    Tension=(velocity^2)*((mass)/(length))

    which i have neither of the length of the string nor the mass of it.
     
  8. Jun 12, 2009 #7

    Redbelly98

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    That's okay, since the mass and length do not change for the string they are not needed.

    You can use that equation to figure out by what factor the velocity (and therefore the frequency) changes when the tension changes by a factor of 516/645
     
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