Question

A steel wire 4m long has a mass of 0.06kg and is stretched with a tension of 1000N. What is the speed of propagation of a transverse wave in the wire?

Answer 1

The speed of propagation of a transverse wave in the wire is 258.19 m/s.

Step-by-step explanation:

We have,

Length of steel wire, l = 4 m

Mass, m = 0.06 kg

Tension in the string, T = 1000 N

It is required to find the speed of propagation of a transverse wave in the wire. The speed of transverse wave is given by :

`v=\sqrt{(T)/(\mu)}`

`\mu=(m)/(l),\text{mass density}`

`v=\sqrt{(1000)/((0.06)/(4))}\\\\v=258.19\ m/s`

So, the speed of propagation of a transverse wave in the wire is 258.19 m/s.