Answer to Question #165934 in Mechanics | Relativity for Ada Onwuegbusi

Question

The velocity v of a wave in a stretched string depends on the tension t in the spring and the mass per unit length coefficient of friction of the spring .Obtain an expression for v in terms of t and coefficient of friction using the method of dimension

Answer 1

velocity $- v$ tension in the string $- T$ $\mu -$ is the mass per length of the string.

Solving for v, we see that the speed of the wave on a string depends on the tension and the linear density.

Speed of a Wave on a String Under Tension

The speed of a pulse or wave on a string under tension can be found with the equation

$|v|= \sqrt{\large\frac{F_T}{\mu}}$

where $F_T$ is the tension in the string and μ is the mass per length of the string.