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A wheel is rotating about an axis that is in the z-direction. The angular velocity is 6 rad/s at t=0, increases linearly with time and is +8.00 rad/s at t=7 second. We have taken counterclockwise rotation to be positive.

Obtain the duration of the time interval when the speed of the wheel is increasing?

Obtain the duration of the time interval when the speed of the wheel is decreasing?

Obtain the angular displacement of the wheel at t=7 second?

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