A particle of mass m moves on a circular path of radius r . Its centripetal acceleration is `kt^(2)` , where k is a constant and t is time . Express power as function of t .

Explanation

centripetal acceleration of a particle movinf on a circular path ,
`(v^(2))/r = kt^(2)`
` :. V^(2) =kt^(2)r`
Differentiating w.r.t time t,
`2v (dv)/(dt) = 2ktr`
`mv (dt)/(dt) = mktr`
` [ :. " Multiplying m on both side "]`
` :. mav = ktmr `
` :. Fv = ktmr " " [ :. ma = F ] `
` :. P = ktmr " " [ :. Fv = P]`