Question

A steel wire has a length of 12m and a mass of 2.1kg? What is the tension in the wire if speed of a transverse wave in the wire is 343 m/s​

Answer 1

Explanation:

Answer

Length of the steel wire, l=12m

Mass of the steel wire, m=2.10kg

Velocity of the transverse wave, v=343m/s

Mass per unit length, μ=m/l=2.10/12=0.175kgm

−1

For Tension T, velocity of the transverse wave can be obtained using the relation:

v=

μ

T

∴ T=v

2

μ

=(343)

2

×0.175=20588.575≃2.06×10

4

N.

Answer 2

Explanation:

Length of the steel wire, l=12m

Mass of the steel wire, m=2.10kg

Velocity of the transverse wave, v=343m/s

Mass per unit length, μ=m/l=2.10/12=0.175kgm-1v=

For Tension T, velocity of the transverse wave can be obtained using the relation:

V=√t/u

Therefore t= v²u

=(343)2×0.175=20588.575=2.06×10⁴N