Liquid In A Vessel Rotating With Constant Angular Velocity

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 wheel starting from rest ia rotating with a constant angular velocity of 3 rad s^-1 . What is its angular acceleration after 4 s?

A solid sphere is rotating with a constant angular velocity about an axis touching the surface. Its angular momentum will be:

A small pulse is generated on a ring rotating with constant angular velocity omega as shown in the figure. Then the speed of pulse with respect to ground.

Derive an expression for the kinetic energy of a body rotating with constant angular velocity. State how it depends on the moment of inertia, and frequency and period of rotation.

A cylindrical vessel of radius r containing a liqiud is rotating about a vertical axis through the centre of circular base, If the vessel is rotating with angular velocity omega then what is the difference of the heights of liquid at centre of vessel and edge?

A liquid of density rho is in a vessel rotating with angular velocity omega as shown in figure. If P_0 is the atmospheric pressure, find pressure at a radial distance r from the axis. .

The angular velocity of a wheel rotating with constant angular acceleration, changes from 2 rad/s to 6 rad/s in a time interval of 31.4 s. The number of rotations made by the wheel in this interval of time is