Why Does My Calculation of Wire Length Differ from the Textbook's Answer?

[kasse]

[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)

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?

 

[Chi Meson]

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.)