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A travelling wave is given by y = - 0.21...

A travelling wave is given by `y = - 0.21 sin (x + 3t)` where x is in m, t is in seconds, y is in mm. (mass per unit length `0.135 g/cm`). Find the tension in the wire.

Text Solution

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The correct Answer is:
1215
`mu=0.135 gm//cm` = 0.0135 kg/m
`y=-0.21 sin(x + 30t)`
`v = omega/k=(30)/1 = 30 m/s ` (x in meter and t in sec)
`v=sqrt(T/mu)=T=v^2mu=(30)^2(0.0135)`
`T= 12.15 = "x" x10^(-2)N`
` implies x=1215.`
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