The motor turns gear A so that its angular velocity increases uniformly from zero to 3000...

The motor turns gear A so that its angular velocity increases uniformly from zero to 3000 rev/min after the shaft turns 200 rev. Determine the angular velocity of gear D when t = 3 s. The radii of gears A, B, C, and D are rA = 25 mm, rb = 100 mm, rc = 40 mm, and rD = 100 mm, respectively.