A guitar string has a tension on it of 6500 N and length of 1.2 m.If the fundamental frequency of the string is 440 Hz,what is the linear mass density of the string?
A)5.8 g/m
B)7.0 g/m
C)8.4 g/m
D)23 g/m
E)Something else.

Question

Quizplus · Accepted Answer

The fundamental frequency (f) of a string is given by the formula f = (1/2L) * sqrt(T/μ), where L is the length, T is the tension, and μ is the linear mass density. Rearranging for μ gives μ = T / (4L^2f^2). Substituting the given values: μ = 6500 / (4 * (1.2)^2 * (440)^2) = 0.0058 kg/m = 5.8 g/m.

A Guitar String Has a Tension on It of 6500