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 transverse waves on the wire ?
Correct Answer – `22.28 ms^(-1)`
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Mass per unit length of the wire,
`mu=(5.0 xx 10^(-3)kg)/(0.72 m)`
`=6.9xx10^(-3) kg m^(-1)`
Tension, T=60 N
The speed of wave on the wire is given by
`v=sqrt((T)/(mu))=sqrt((60 N)/(6.9xx10^(-3) kg m^(-1)))=93 m s^(-1)`