Question

A particle is moving with constant speed in a circular path. The ratio of average velocity to its instantaneous velocity when the particle describes angle θ is:

a. θ
b. cot(θ/2)
c. tan(θ/2)
d. sin(θ/2)

Answer 1

The ratio of average velocity to instantaneous velocity in circular motion is tan(θ/2). Therefore, the correct option is C.

Step-by-step explanation:

In uniform circular motion, the ratio of average velocity to instantaneous velocity at a given angle θ is c) tan(θ/2). The average velocity of a particle in circular motion is the displacement divided by the time taken. The instantaneous velocity is given by the magnitude of the tangential velocity vector.