A force is applied to the rim of a disk that can rotate like a merry-go-round, so as to change its angular velocity. Its initial and final angular velocities, respectively, for four situations are the following.
(a) −2 rad/s, 5 rad/s
(b) 2 rad/s, 5 rad/s
(c) −2 rad/s, −5 rad/s
(d) 2 rad/s, −5 rad/s
Rank the situations according to the work done by the torque due to the force, greatest first. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
(c) Is the angular velocity of the disk positive, negative, or zero at t = 3 s?