After reading a chapter on the conservation of angular momentum, I have had a radical idea growing in my mind ever since I finished reading the material. To cut to the chase, the law states that the angular momentum of a rotating object will remain constant unless an outside torque acts on the object. Since angular momentum = I x w, an objects rotational speed will increase as the rotational inertia decreases - the same principal behind how an ice skater increases how fast she spins by pulling in her arms. Radically thinking, if a spinning space station consisting of simply a wire anchored on both ends and had a length a of one hundred kilometers, or so, were to be accelerated to 75% the speed of light at the outermost point, and then reeled in at a constant rate towards the axis of rotation; what would happen once the rotational velocity began to reach the speed of light? Since, the law of conservation of angluar momentum indirectly states that an object's rotational speed will increase as its rotational intertia decreases, one would suspect that, at only 75%c at the edge, as the object began to be reeled in closer and closer, it would theoretically exceed the speed of light. Since this is an impossibility, what would happen as it approached the speed of light? Any aid on this problem would be greatly appriciated!