Gears 1) A jack has an acme screw driven by a worm gearbox. The screw has 2 threads per inch. The gearbox has a 24 tooth gear. a. How many time do you need to turn the handle to raise the load 1 inch? 2) Your 1HP motor has a 20 tooth, 20 pressure angle, 12DP, 0.75" face width pinion and spins at 1750 rpm. Using a gear, also with 0.75" face width, you want the output shaft to spin at 500 rpm. a. For the pinion, find i. Pitch diameter ii. Maximum stress (using Lewis Formula) b. For the output gear, what are the required i. Number of teeth ii. Pressure angle iii. Pitch iv. Pitch diameter C. v. Maximum stress (using Lewis Formula) For the gears to mesh properly, what should the center distance be? d. What is the torque at the motor? e. If the gear train is 90% efficient, what is the torque at the output shaft? 3) A funicular is driven up a hill by a rack and a 17 tooth Module 6 pinion. a. What is the pitch diameter b. The drive force is 10.5 kN. What is the required torque on the pinion?