A 2-tooth right-hand worm transmits 1 hp at 1200 rev/min to a 30-tooth worm gear. The gear has a transverse diametral pitch of 6 teeth/in and a face width of 1 in. The worm has a pitch diameter of 2 in and a face width of 2 \frac{1}{2} in. The normal pressure angle is 14 \frac{1}{2}^{\circ} . The materials and quality of work needed are such that curve B of Fig. 13–42 should be used to obtain the coefficient of friction.
(a) Find the axial pitch, the center distance, the lead, and the lead angle.
(b) Figure 13–43 is a drawing of the worm gear oriented with respect to the coordinate system described earlier in this section; the gear is supported by bearings A and B. Find the forces exerted by the bearings against the worm-gear shaft, and the output torque.