A steel wire has a length of 12 m and a mass of 2.10 kg.

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

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