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A wheel is rotating about an axis that is in the z-direction. The angular velocity ωz is -6.00rad/s at t=0, increases linearly with time and is +8.00rad/s at t=7.00s. We have taken counterclockwise rotation to be positive.

1) Is the angular acceleration during this time interval positive or negative?

2) Find the duration of the time interval when the speed of the wheel is increasing?

3) Find the duration of the time interval when the speed of the wheel is decreasing?

4) What is the angular displacement of the wheel at t=7.00s?

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