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A wheel is rotating about an axis that is in the z-direction. The angular velocity ωz...

A wheel is rotating about an axis that is in the z-direction. The angular velocity ωz 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.

1- How long is the time interval during which the speed of the wheel is increasing?

2- How long is the time interval during which the speed of the wheel is decreasing?

3- What is the angular displacement of the wheel from t = 0 s to t = 19.0 s ?

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