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A steel wire 0.72 m long has a mass of 5...

A steel wire `0.72` m long has a mass of `5.0 xx 10 ^(-3) kg.` If the wire is under a tension of 60 N, what is the speed of transvers waves on the wire ?

Text Solution

Verified by Experts

Linear density of mass of a given wire,
`mu = (M)/(L)`
Speed of transverse wave on given wire,
` v = sqrt ((T)/(mu)) = sqrt ((T)/(M //L ))= sqrt ((TL)/(M))`
`therefore v = sqrt((60 xx 0.72)/(5 xx10 ^(-3))) = 92.95 (m)/(s)`
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