A particle is moving in a circle of radius R in such a way that at any instant the total acc. makes an angle of

Question

45º  with radius . Initial speed of the particle is v₀  . The time taken to complete the first revolution is -

Answer 1

For circular motion, the radial acceleration a _r is given by v²/R and the tangential acceleration a_t is given by dv/dt.

Now, v = ds/dt, where, s is the length of the arc covered by the particle as it moves in the circle.