Rotational Motion Kinematics

A wheel has an angular acceleration of rad/s² and an initial angular speed of rad/s. In a time of s, it has rotated through an angle (in radians) of:

1.		2.
3.		4.

The instantaneous angular position of a point on a rotating wheel is given by the equation,
$$
The torque on the wheel becomes zero at:

1.	s	2.	s
3.	s	4.	s

A solid sphere of mass and radius is rotating about its diameter. A solid cylinder of the same mass and the same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (sphere/cylinder) will be:

1.		2.
3.		4.

Three objects, (a solid sphere), (a thin circular disk) and (a circular ring), each have the same mass and radius They all spin with the same angular speed about their own symmetry axes. The amount of work required to bring them to rest, would satisfy the relation:

1.
2.
3.
4.

The angular speed of the wheel of a vehicle is increased from to in seconds. Its angular acceleration will be:
1.
2.
3.
4.

The angular speed of a flywheel moving with uniform angular acceleration changes from rpm to rpm in s. The angular acceleration in rad/s² is:

1.		2.
3.		4.

The angular acceleration of a body moving along the circumference of a circle is:

1.	along the axis of rotation
2.	along the radius, away from the centre
3.	along the radius towards the centre
4.	along the tangent to its position