A solid sphere of radius 20 cm and mass 25 kg rotates about an axis through its centre. Calculate its moment of inertia. If its angular velocity the torque applied changes from `2 rad s^-1` to `12 omega rad s^-1` in 5 sec, calculate the torque applied.

A solid sphere of diameter 25cm and mass 25kg rotates about an axis through its centre. Calculate its moment of inertia, if its angular velocity changes from 2 rad s^-1 to 12 rads^-1 in 5 seconds. Also calculate the torque applied.

Solid sphere of diameter 25 cm and mass 25 kg rotates about an axis through its center. Calculate its moment of inertia , if its angular velocity changes from 2 rad/s to 12 rad/s in 5 second. Also calculate the torque applied.

A cylinder of 500 g and radius 10 cm has moment, of inertia about an axis passing through its centre and parallel to its length as

A ring of mass 10 kg and diameter 0.4 m is rotated about an axis passing through its centre and perpendicular to its plane. Moment of inertia of the ring is

If a solid sphere of mass 1kg and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s, then the kinetic energy of rotation will be

The angular momentum of a body changes by 80 kgm^2s^-1 when its angular velocity changes from 20 rad s^-1 to 40 rad s^-1 . Find the change in K.E of rotation.

A disc of mass 16 kg and radius 25 cm is rotated about its axis. What torque will increase its angular velocity from 0 to 8pi rad/s in 8 s ?

A thin uniform rod of length 1 m and mass 1 kg is rotating about an axis passing through its centre and perpendicular to its length. Calculate the moment of inertia and radius of gyration of the rod about an axis passing through a point mid way between the centre and its edge perpendicular to its length.

The radius of gyration of a disc of mass 100 g and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is

A disc of mass 2 kg and radius 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane with an angular velocity 50 rad/s. Another disc of mass 4 kg and radius 0.1m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity 100 rad/s. If the two discs are coaxially coupled, then the angular velocity of the coupled system would be