Question 2 A carousel (a small merry-go-round) on a playground can be treated as a disk. Whenever the carousel is spinning there is a constant frictional torque opposing the carousel's rotation because of the resistance in the bearings. A mischievous prankster attaches a rocket to the carousel which produces a constant "thrust torque" for 5 seconds. The carousel accelerates from rest to an angular velocity of rad/'s while the rocket is on. The rocket turns off at 5 seconds, (a) Sketch a graph of angular velocity vs time for the 10-second interval shown.. You do not need to add additional numbers, but your sketch should be consistent with the numbers already on the graph. 6 3 w (rad/s) 0 t (s) 10 -3 -6 (b) Sketch a graph of angular acceleration vs time for the 10-second interval shown. You do not need to add additional numbers, but your sketch should be consistent with the numbers already on the graph. 1.2 0.6 a (rad/s2) 0 t (s) 10 -0.6 -1.2