A wheel is rotating about an axis that is in the z -direction. The angular velocity...
A wheel is rotating about an axis that is in the z -direction. The angular velocity ω z is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 19.0 s . We have taken counterclockwise rotation to be positive.
Part B
During what time interval is the speed of the wheel increasing? Express your answer with the appropriate units.
Part C
During what time interval is the speed of the wheel decreasing?
Part D
What is the angular displacement of the wheel at t = 19.0 s ?
Homework Answers
A)
Angular acceleration, a = (4 + 6)/19 = 0.53 rad/sec^2
B)
6 = 0.53 t
Time, t = 11.4 sec
C)
4 = 0.53 t
Time, t = 7.55 sec
D)
Theta = (-6 x 19) + (0.5 x 0.53 x 19^2) = - 18.34 rad
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