A single-threaded steel worm rotates at 1725 rev/min, meshing with a 56-tooth worm gear transmitting 1 hp to the output shaft. The pitch diameter of the worm is 1.50. The tangential diametral pitch of the gear is 8 teeth per inch and the normal pressure angle is 20?. The ambient temperature is 70?F, the application factor is 1.25, the design factor is 1, the gear face is 0.5 in, the lateral case area is 850 in2, and the gear is sand-cast bronze.

(a) Determine and evaluate the geometric properties of the gears.

(b) Determine the transmitted gear forces and the mesh efficiency.

(c) Is the mesh sufficient to handle the loading?

(d) Estimate the lubricant sump temperature.