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?

Respuesta :

Answer:

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

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 :

[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]

[tex]\mu=\dfrac{m}{l},\text{mass density}[/tex]

[tex]v=\sqrt{\dfrac{1000}{\dfrac{0.06}{4}}}\\\\v=258.19\ m/s[/tex]

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