A10.9. GEARS: A pair of mating gears has 30 and 85 teeth and a pressure angle of 25°. Gear1 is the 30-tooth gear and has a pitch diameter of 6

in. (a) Calculate the diametral pitch.(b) Calculate the pitch radius of the 85-tooth gear. (c) Calculate the module and the circular pitch. (d) Calculate the center distance between the two gear bearings. (e) If the 30-toothgear is the input gear and rotates at 100 rpm, calculate the speed of the output gear. (f) If the input torque is 200 in-Ibf, calculate the output torque and (g) calculate the total reaction force on each of the gear bearings.