In a frictionless environment, a bicycle wheel in space will not stop rotating unless acted upon by an external force. The conservation of angular momentum remains intact as the wheel's friction with the axle causes both to eventually rotate at the same rate, rather than stopping completely. If the wheel is mounted on a non-rotating bike, the torque will cause the bike to rotate, conserving the total angular momentum of the system. Thus, the initial assertion that angular momentum is violated is incorrect. The system continues to exhibit conservation principles as long as no external forces intervene.