Question:
A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave on this wire when a tension of 2.06 × 104 N is applied?
Solution:
Length, l = 12 m
Total mass, M = 2.10 kg
m = M/l = 2.1/12
Tension, T = 2.06 × 104 N
Therefore, v is given as
$v=\sqrt{\frac{T}{m}}=\frac{2.06 \times 10^{4} \times 12}{2.10}=3.43 \times 10^{2}$
v = 343.0 m/s