posted by BG .
A guitar string is 92 cm long and has a mass of 3.7 g. The length L from the bridge to the support post is 65 cm, and the string is under a tension of 570 N. What is the frequency of the fundamental tone
Velocity in the stretched string is
v = sqrt(TL₀/m) =
=sqrt(570•0.92/0.0037) = 376 m/s,
λ =2L =2•0.65 = 1.3 m,
λ = v/f =>
f=v/λ =376/1.3=289 Hz.