Figur shows the total acceleration and velocity of a particle moving clockwise in a circle of radius `2.5m` at a given instant of time. At this instant, find:
(a) the radius acceleration,
(b) the speed of the acceleration,
(c) its tangential acceleration.

Answer

A, B, C

Explanation

(a) `a_(r)=acos30^(@)=(25)/(sqrt(3))/(2)`
`=21.65m//s^(2)`
(b) `a_(r)=(v^(2))/(R)` implies `v=sqrt(a,R)`
or `v=sqrt((21.65)(2.5))`
`=7.35m//s`
(c) `a_(t)=asin30^(@)=(25)((1)/(2))=12.5m//s^(2)`