A particle starting from rest moves atong the circumference of a circle of radius ' r ' with angular acceleration ' '. The magnitude of the average velocity in time it completes the small angular displacement ' ' is

Step-by-step solution

Using kinematic equation, aligned & = ₀ t + 1 2 t ^2 & = 1 2 t ^2 t & = ( 2 )^ 1 / 2 ...(i) aligned ( . particle was at rest, . ₀=0 ) Angular displacement of the particle = r ...(ii) aligned & Average velocity = Angular displacement time & V _ average = r t = r ( 2 )^ 1 / 2 = r 2 aligned