Adisk rotates around an axis through its center that is perpendicular to the plane of the disk. the disk has a line drawn on it that extends from the axis of the disk to the rim. at t = 0 this line lies along the x-axis and the disk is rotating with positive angular velocity ω0z. the disk has constant positive angular acceleration αz. at what time after t = 0 has the line on the disk rotated through an angle θ?

express your answer in terms of the variables ω0z, αz, and θ.

Explanation:

The rotated angle is given by:

Since this is a quadratic equation it can be solved using:

Rewriting our equation:

Since we discard the negative solution.

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