Answer to Question #245819 in Physics for Savage

Question

The relationship between the velocity,V of the wave set up in a straight string by plucking it and it's mass M, is

Answer 1

The velocity of the wave in a string is given as follows (see https://courses.lumenlearning.com/suny-osuniversityphysics/chapter/16-3-wave-speed-on-a-stretched-string/):

$$v = \sqrt{\dfrac{F_T}{\mu}}$$

where $F_T$ is the tension in the string, and $\mu = M/L$ is the linear density of the string ($M$ - mass of the string, $L$ is its length).

Answer. $v = \sqrt{\dfrac{F_TL}{M}}$.