posted by Phil .
A guitar string is 90cm long and has a mass of 3.8g . The distance from the bridge to the support post is L=62cm , and the string is under a tension of 540N . What are the frequencies of the fundamental and first two overtones?
v = sqrt(TL₀/m)=
=sqrt(540•0.9/0.0038) =357.6 m/s.
Fundamental frequency f:
f=v/ λ=v/2L=357.6/2•0.62 = 288.4 Hz.
f2=v/λ₂=v/(2L/3)=3 v/2L=865.2 Hz