Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_174

6/174 The gear train shown operates in a horizontal plane at a steady speed and receives 6 hp from a motor at A to move rack D against a 4500-pound load L. At what speed will the rack move if gears A, B, and C have pitch diameters \(d_A = 12\text{ in.}\), \(d_B = 24\text{ in.}\), and \(d_C = 12\text{ in.}\)? Gear C is keyed to the same shaft as gear B and friction in the bearings is negligible.