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.