At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of `-0.25rad//s^(2)`, and a reference line at `theta_(0)=0` (a) Through what maximum angle `theta_(max)` will the reference line turn in the positive direction? What are the (b) first and ( c) second times the reference line will be at `theta=1//2theta_(max)`? At what (d) negative time and (e ) positive time will the reference line be at `theta` = 10.5 rad ? (f) Graph `theta` versus t, and indicate your answers.

Explanation

(a) 44 rad, (b) `q_(1)=22rad` is t = 5.5 s, ( c) `q_(1)=22rad` is t = 32 s, (d) t = -2.1 s, (e) t = -2.1s, (f) With radians and seconds understood, the graph of q versus t is shown below (with the points found in the previous parts indicated as small dots).