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The length of a steel wire is 4 m and it...

The length of a steel wire is 4 m and its mass is `8 xx 10^(-2) kg`. What will be the speed of transverse waves if the wire is under a tension of 72 N.

Text Solution

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We are given: `m= 8 xx 10^(-2) kg, l = 4m, T = 72 N`
We are to calculate, speed of wave, v
We know that, mass per unit length,
`mu = m/l = (8 xx 10^(-2))/4 = 2 xx 10^(-2) kg//m`
Using relation: `v = sqrt(T/mu) = sqrt(72/(2 xx 10^(-2))) = sqrt(36 xx 10^(2)) = 60 ms^(-1)`
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