1.

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.

Answer»

SOLUTION :(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).


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