A 0.20-kg block moves at the end of a 0.50 m string along a circular path on a friction-less air table. The block's initial rotational speed is 2.0 rad/s. As the block moves in the circle, the string is pulled down through a hole in the air table at the axis of rotation. 1) Determine the rotational speed of the block when the string is 0.20 m from the axis. 2) Determine the tangential speed of the block when the string is 0.20 m from the axis.