Wire is often delivered wrapped on a large cylindrical spool. Suppose such a spool is supported by resting on a horizontal metal rod that is pushed through a hole that runs through the center of the spool. A worker is pulling some wire off the spool by exerting a force on it, as shown in the figure. Suppose the spool rotates on the rod essentially without friction. The spool is approximately a uniform cylinder with a mass of 50 kg and a radius of 30 cm. The worker pulls on the wire for 2 seconds with a force of 30 N. At the end of the 2 seconds, she immediately clamps on a brake which very quickly stops the spool’s rotation. Just before she put on the brake, how fast was the spool rotating? How much wire did she pull off the spool?