Answer Happy

12 Full Half New N=6 N=6 N=56 N=76 Representing the phases of the moon can be done using a clock dial shown above. The synodic month (the time between two full moons in succession) has a length of 29.5305888532 days. This is the period that the designer of the system tried to mimic with this display. The lunar display is driven off the hour shaft of a clock as shown above (shaft attached to the leaf showing 12) to drive a conventional two disk lunar display, which completes a full turn (360 degrees) once every 2 synodic months. The traditional train would be a 6:56, 6:76 train, where the first 6 tooth pinion is on the hour shaft and the 76 tooth wheel is on the shaft with the two disk display (as shown above). a) Which gears have the lowest pitch line velocity? (5 points) b) Estimate a value for Kv for this gear to accommodate any dynamic effects, give a reasoning for your estimate for Kv. (5 points) c) All gears are made of cast iron, each of them has a face width of 0.5 in, a constant diametral pitch and pressure angle of 20 degrees. If the lunar display has a diameter of 5 in, determine in terms of W the maximum bending and contact stresses in the lunar display drive train (using Lewis Bending and Surface Durability equations) (10 points) If needed use 0.22 for the Lewis form factor for a 6-tooth gear.