1. Using the AGMA refined approach, design a high-precision single-reduction straight spur gear unit to operate from a 50-hp electric motor running at 5100 rpm to drive a rotating machine operating at 1700 rpm. The motor operates steadily at full rated power. A life of 107 pinion revolutions is desired, and a reliability of 99 percent is required. It is proposed to use Grade 2 AISI 4620 steel carburized and case hardened to RC 60 for both gears. An important design constraint is to make the unit as compact as practical (i.e., use the minimum possible number of pinion teeth without undercutting). A safety factor of 1.3 is desired. Select or determine the following so as to satisfy the design specifications:

a. Tooth system.

b. Diametral pitch.

c. Pitch diameters.

d. Center distance .

e. Face width.

f. Number of teeth on each gea.