A particle moves in a circle of radius 20 cm Its linear speed is given by upsilon = 2 t where t is in second and upsilon in metre/second Find the radial and tangential acceleration at `t = 3 s`.

Explanation

Linear speed at ` t = 3 s` is
`upsilon = 2 t 2 xx 3 = 6 m//s `
Radial acc at this instant
` a_(r) = (upsilon^(2))/(r) = (6 xx 6 )/(0. 20 ) = 180 m//s^(2) `
Tangential acc is ` a_(t) = (d upsilon)/(dt )=(d)/(dt) (2 t ) = 2 m//s^(2) ` .