The figure shows the internal gearing of a “spinner” used for drilling wells. With constant angular acceleration, the motor M rotates the shaft S to angular velocity ω_M in time t starting from rest. Determine the angular acceleration of the drill-pipe connection D and the number of revolutions it makes during the start up at t.

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Units Used: Given: COM = 100 rev = 2 rev min rD = 150 mm M = 60 mm t = 2 s