A solid uniform 3.25 kg cylinder, 65.0 cm in diameter and 12.4 cm long is connected to a 1.5kg weight over two massless frictionless pulleys. The cylinder is free to rotate about an axle through its center perpendicular to its circular faces, and the system is release from rest. How far must the 1.5kg weight fall before it reaches a speed of 2.5m/s? How fast is the cylinder turning at this instant?