A top has a moment of inertia of 2.78 × 10^?4 kg·m^2 and is initially at rest. It is free to rotate about a vertical stationary axis. A string around a peg along the axis of the top is pulled, maintaining a constant tension of 3.71 N in the string. If the string does not slip while it is wound around the peg,
1.) what is the angular speed of the top after 66.9 cm of string has been pulled off the peg? Answer in units of rad/s
2.) What is the angular velocity of the object? Answer in units of rad/s