If there is no damping or external torque acting on a rotating object, its angular velocity will remain constant. This is known as the principle of conservation of angular momentum.
Angular momentum (L) is a property of a rotating object and is defined as the product of its moment of inertia (I) and its angular velocity (ω):
L = I * ω
Since there is no damping or external torque acting on the object, the angular momentum is conserved. This means that the product of the moment of inertia and the angular velocity will remain constant. Even if the shape of the object changes, as long as no external forces or torques are applied, the angular velocity will remain the same.
In practical terms, this means that a rotating object without damping will continue to spin at a constant angular velocity indefinitely, without slowing down or speeding up. This property is utilized in various applications such as flywheels, gyroscopes, and other rotating systems where a constant angular velocity is desirable.