Question

A steel wire 0.72 m long has a mass 10 kg. If the wire is under a tension of 60 n, the speed of transverse waves on the wire is

Answer 1

Thus the speed of transverse waves on the wire is V = 93 ms^-1

Explanation:

Mass per unit length of the wire.

μ = 5.0×10−3 kg / 0.72 m

= 6.9×10^−3 kgm−1  

Tension, T= 60 N

The speed of wave on the wire is given by

V = √ T / μ  60 N 6.9×10−3

V = √ 60 N /  6.9×10−3 kgm−1

V = 93 ms^-1

Thus the speed of transverse waves on the wire is V = 93 ms^-1