When talking about the translational velocity of a rigid body in physics, the velocity is always frame dependent, and therefore, the translational kinetic energy is frame dependent. But does this apply to angular rotation phenomenon? If in one frame, the angular velocity of a rigid body is 10 radians per second with respect to an axis of rotation, will it be 10 radians per second in any other frame? Also, would the rotational kinetic energy be invariant with respect to any other frame? It seems to me that the angular velocity vector should not get impacted by translational motion. If so, is this what is meant by a free or unbound vector?