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A disk 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 .

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