physics of a guitar string?

A nylon guitar string has a linear density of 7.3 g/m and is under a tension of 152 N. The fixed supports are distance D = 90.0 cm apart. The string is oscillating in the standing wave pattern shown in below.
(a) Calculate the speed of the traveling waves whose superposition gives this standing wave.
m/s

(b) Calculate the wavelength of these traveling waves.
cm

(c) Calculate the frequency of these traveling waves.
Hz

kirchwey2008-06-29T16:27:52Z

Favorite Answer

λ = 2L = 1.8 m
v = sqrt(T/(m/L)) = 144.298 m/s
f = v/λ = 80.16557 Hz
See the ref. for derivation of equations.