Question

A steel wire has a length of 12m and a mass of 1kg? What is the tension in the wire if speed of a transverse wave in the wire is 343 m/s

Answer 1

Answer:

The tension in the wire is 9.8 × 10³ N.

Explanation:

Given :

Mass of the wire, m = 1 kg

Length of the wire, l = 12 m

Speed of transverse wave in the wire, v = 343 m/s

To find :

the tension

Solution :

Mass per unit length, μ = m/l

 μ = 1/12 kg/m

We know that the velocity of a transverse wave is given by,

v = √T/μ

⇒ T = v²μ

Substituting,

⇒ T = 343² × 1/12

⇒ T = 117649/12

⇒ T = 9804.08 N

⇒ T = 9.8 × 10³ N