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If the displacement relation for a parti...

If the displacement relation for a particle in a wave is given by `y=5 sin ((t)/(0.04)-(x)/(4))`, determine the maximum speed of the particle in SI units.

Text Solution

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Particle speed `v_(p)=|(dely)/(delt)|`
`v_(p)=|5xx(1)/(0.04)cos(t/(0.04)-x/(4))|ms^(-1)` The maximum particle speed is, thus,
`|(dely)/(delt)|_max =(5)/(0.04)ms^(-1)=125 ms(-1)`
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