Question

A wave is traveling in a string at 58 m/s. when the tension is then increased 17%, what will be the resulting wave speed?

Answer 1

the resulting wave speed=62.7 m/s

Explanation:

The speed of a wave is given by

v=$\sqrt{\frac{T}{\mu} }$

T= tension, v= velocity= 58 m/s

when the tension is increased by 17%, new tension= 1.17 T

$V'=\sqrt{\frac{1.17T}{\mu}}$

$V'=1.082 \sqrt{\frac{T}{\mu}}$

V'=1.082 V

V'=1.082 (58)

V'=62.7 m/s