For a short time the motor turns gear A with an angular acceleration of αA = (30t1/2) rad/s2, where t is in seconds. Determine the angular velocity of gear D when t = 5 s, starting from rest. Gear A is initially at rest. The radii of gears A,B, C, and D are rA = 25 mm, rB = 100 mm, rc = 40 mm, and rD = 100 mm, respectively.
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