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A heavy crate is being moved a short distance using three identical cylinders as rollers. Knowing that at the instant show the crate has a velocity of $220m\frac{m}{s}$ and an acceleration of $420m\frac{m}{s^2},$ both directed to the right.

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Determine the angular acceleration of the center cylinder. $($Round the final answer to three decimal places.$)$

The angular acceleration of the center cylinder is $ra\frac{d}{s^2}$ clockwise.