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For a short time, gear A of the automobile starter rotates with an angular acceleration of alpha=50w^.5 rad/s^2, where w is in rad/s. Determine the angular vvelocity of gear B after gear A has rotated 50 rev, starting from rest. The radii of gears A and B are 10 mm and 25 mm respectively.

For a short time, gear A of the automobile starter rotates with an angular acceleration of alpha=50w^.5 rad/s^2, where w is in rad/s. Determine the angular vvelocity of gear B after gear A has rotated 50 rev, starting from rest. The radii of gears A and B are 10 mm and 25 mm respectively.