An object rotates about a fixed axis, such that a reference line on the object makes an angle `theta=ae^(bt)` with its starting position at time t. Find for a particle on object at a distance r from the axis of rotation, the tangential, the radial and the total acceleration of the point.

Answer

`[a_(t)=ab^(2)re^(bt),a_(r)=a^(2)b^(2)re^(2bt),a_(T)=ab^(2)re^(bt)sqrt(1+a^(2)e^(2bt))]`