Particles A and B move in the same direction on a circle with angular speeds 6 rad/s and 2 rad/s. Initially B is π rad ahead of A. If A first catches B after π/N seconds, find N.
Physics · Circular Motion · kinematics of circular motion
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Question

Particles A and B move in the same direction on a circle with angular speeds 6 rad/s and 2 rad/s. Initially B is π rad ahead of A. If A first catches B after π/N seconds, find N.

G1 Physics · Accepted Answer

Relative angular speed of A with respect to B is 6−2=4 rad/s. A must gain the initial angular separation π rad. Thus 4t=π, giving t=π/4 s. Hence N=4.