A speed-reducer gearbox containing a compound reverted gear train transmits 35 horsepower with an input speed of 1200 rev/min. Spur gears with 20◦ pressure angle are used, with 16 teeth on each of the small gears and 48 teeth on each of the larger gears. A diametral pitch of 10 teeth/in is proposed.
(a) Determine the speeds of the intermediate and output shafts.
(b) Determine the pitch line velocities (in ft/min) for each set of gears.
(c) Determine the magnitudes of the tangential, radial, and total forces transmitted between each set of gears.
(d) Determine the input torque.
(e) Determine the output torque, neglecting frictional losses.