A disk of radius 22.0 is free to turn about an axle perpendicular to it through

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A disk of radius 22.0 is free to turn about an axle perpendicular to it through its center. It has very thin but strong string wrapped around its rim, and the string is attached to a ball that is pulled tangentially away from the rim of the disk (the figure ). The pull increases in magnitude and produces an acceleration of the ball that obeys the equation , where is in seconds and is a constant. The cylinder starts from rest, and at the end of the third second, the ball's acceleration is 1.30 .

Through what angle has the disk turned just as it reaches 11.5 ? (Hint: See Section 2.6 in the textbook.)

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