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Length of wire

  • Thread starter kasse
  • Start date
  • #1
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[SOLVED] length of wire

Homework Statement



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.

The Attempt at a Solution



v = sqrt(FL/m) = 301.5*sqrt(L)

fn = n*v/(2*L) --> L = n*v/(2*fn) --> L = 0.36 m

The book says 0.65 m. Am I wrong?
 

Answers and Replies

  • #2
Chi Meson
Science Advisor
Homework Helper
1,789
10
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.)
 
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