A simple gear train with spur gears that contains a pinion, an idler, and a gear utilized in order to transmit 10 hp using a train ratio of 4.5:1. The pinion has 14 teeth and the idler has 30 teeth. The input shaft operates at 2000 rpm. The presure angle is 25 degrees and the diametral pitch is 8 teeth/inch. Find the pitch diameters of the three gears. Also, compute the midrange and alternating components of the transmitted load on each gear.