Angular Velocity and angular displacement

A particle starts from rest and moves in a circular motion with constant angular acceleration of 2 rad s^-2 . Find (a) Angular velocity (b) Angular displacement of the particle after 4 s . ( c) The number of revolutions completed by the particle during these 4 s . (d) If the radius of the circle is 10 cm , find the magnitude and direction of net acceleration of the particle at the end of 4 s .

The graph between instantaneous velocity and angular displacement of a particle performing S.H.M. is

Introduction || Angular Position and Angular Displacement

The angular displacement of a particle performing circular motion is theta=(t^(3))/(60)-(t)/(4) where theta is in radian and 't' is in second .Then the angular velocity and angular acceleraion of a particle at the end of 5 s will be

Derive the relation between linear displacement and angular displacement.

A mass is whirled in a circular path with a constant angular velocity and its angular momentum is L. If the string is now halved keeping the angular velocity same, the angular momentum is

A particle attached to a string is rotating with a constant angular velocity and its angular momentum is L. If the string is halved and angular velocity is kept constant, the angular momentum will be

A particle performing circular motion with its diameter d and velocity v. Then the angular displacement of the particle in time t is

A body is moving in a vertical circle such that the velocities of body at different points are critical. The ration of velocities of body at angular displacements 60^@ and 120^@ from lowest point is