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 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.

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 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. .

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.

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

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