What Is the Wave Speed for the G-String of the Guitar?
Suppose the G-string of a guitar is 6 m long and has a linear density of 97.1 mg/m. The thumb screw attached to the string is adjusted to provide a tension of 4.6 kN. What is the wave speed for the G-string of the guitar?
v = sqrt(T/(m/L)) = 6882.87 m/s. See the ref.
Who’s making up these crazy numbers? 6-meter-long super-thin guitar strings with 4600 N tension? Is this a new kind of performance art? Like "lacerate the lutenist"?
EDIT: The amplitude does not theoretically affect the frequency, although it may have a secondary effect.
You’d have to factor in exactly how hard you pluck the string as well..