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 defined as the product of the moment of inertia (I) and the angular velocity (ω) of an object:
L = I * ω
According to the conservation of angular momentum, if no external torque is applied to the object, the total angular momentum remains constant. This can be expressed mathematically as:
L_initial = L_final
Therefore, if there is no damping or external torque acting on a rotating object, its angular momentum remains constant. As a result, the angular velocity of the object will also remain constant over time.