A guitar string is 97 cm long and has a mass of 3.6 g. The length L from the bridge to the support post is 61 cm, and the string is under a tension of 570 N. What is the frequency of the fundamental tone?

Answer 1

string length = 0.97 meter
m = 0.0036 kg
u = mass/length = .00371

half a wavelength = 0.61 meter

speed = sqrt (570/.0031) = 429 m/s

time to go half a wavelength
= .61/429 = .00142 seconds
time for a wavelength = .00284 s
f = 1/time = 351 Hz