Question

A steel wire 100 cm long has mass of 10 gm. It is stretched by a tension of 400 N. Find the frequency of the wire in fundamental mode of vibration.

Answer 1

Explanation:

Given-

m=10gm=0.01kg

l=100cm=1m

T=400N

v=?

Formula-

Mass per unit length is calculated by

μ = m/l

μ = 0.01/1

μ = 0.01 kg/m

Tension in the string is given

T = 400N

Velocity of transverse waves through string is given by

v = √(T/μ)

v = √(400/0.01)

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v = 200 m/s