1. May 23, 2008 #1

   kasse

   

   [SOLVED] length of wire
   
   1. The problem statement, all variables and given/known data
   
   A wire of mass 1.1 g is under a tension of 100 N. If its third overtone is at a frequency of 750 Hz, calculate the length of the wire.
   
   3. The attempt at a solution
   
   v = sqrt(FL/m) = 301.5*sqrt(L)
   
   f_n = n*v/(2*L) --> L = n*v/(2*f_n) --> L = 0.36 m
   
   The book says 0.65 m. Am I wrong?

    

   kasse, May 23, 2008
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3. May 23, 2008 #2

   Chi Meson

   

   Science Advisor

   Homework Helper

   The third "overtone" is the fourth "harmonic."
   
   Other than that, you did everything right. (well, your final formula is incorrectly written, but you solved correctly for n=3.)

    

   Last edited: May 23, 2008

   Chi Meson, May 23, 2008

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