A 2-tooth worm gear transmits 0.5 hp at 3000 rpm to a 36-tooth worm gear, with a transverse diametral pitch of 10 teeth / in. The pinion has a normal pressure angle of 14.5°, a pitch diameter of 1.5 in, and a face width of 1.5 in. Use a coefficient of friction of 0.05 and find the force exerted by the ring gear on the pinion as well as the input torque. The pinion speed is clockwise with respect to the z axis.