The Newton's second law for rotation is the following:
where is the angular acceleration, is the moment of inertia and is the torque of the force . To find the torque we should multiply the force by the cilinder radius:
Thus, obtain the following angular acceleration:
On the other hand, the kinematic law for the rotation with the constant acceleration (starting from the rest) is the following:
Here is the amount of radians the cylinder will rotate through in the time .
Thus, obtain:
Answer. 25.8 rad.
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