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A particle of mass m moves in a circle o...

A particle of mass `m` moves in a circle of radius `R` with a uniform speed `v`.
(i) the angular speed of particle is `v//R`.
(ii) the time period of revolution is `2piR//v`.
(iii) the acceleration of particle is `v^(2)//R`.
(iv) the work done by the centripetal force in half revolution is `(mv^(2)//R)xxpiR`.

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