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- A 28-tooth spur pinion mates with a 42-tooth gear. The diametral pitch is 4 teeth/in and the pressure angle is 20.. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addendum, dedendum, clearance, circular pitch, tooth thickness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.A 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20°. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addéndum, dedendum, clearance, circular pitch, tooth thick- ness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.For full depth of involute spur gears. minimum number of teeth of pinion to avoid interference depends upon (a) pressure angles B.Speed ratio C.circular pitch D pitch diameter
- 6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 20 N m. The torque transmitted by the gear is (a) 6.6 Nm (6) 20 Nm (c) 40 Nm (d) 60 Nm.A pair of gears with 14.5° full-depth teeth are to transmit 5 hp at 1800 rpm of the pinion; mw= 2.5; Np = 20 teeth; carefully cut teeth; intermittent service; Kf= 1.45. A. Determine the diametral pitch, B. face width, C. and tooth numbers if the pinionis to be made of phosphor gear bronze (SAE 65, Table AT 3A helical gear has a normal diametral pitch of 12. a nor- mal pressure angle of 20°, 48 teeth. a face width of 1.50 in, and a helix angle of 45°. (a) If the gear transmits 2.50 hp at a speed of 1750 rpm., compute the tangential force, the axial force, and the radial force. (b) If the gear operates with a pinion having 16 teeth. compute the bending stress in the pinion teeth. The power comes from an electric motor, and the drive is to a centrifugal blower. Specify a quality number for the teeth. (c) Specify a suitable material for the pinion and the gear considering both strength and pitting resistance.
- 1. The figure shows a pair of shaft-mounted spur gears having a diametrical pitch of 6 teeth/in with a 14 tooth pinion (gear 2) driving a 49 tooth gear at a pressure angle of 20°. The power input is 3/4 hp at 2400 rpm cw. A, B, C, and D are bearings. 3. 3 in 3 in Determine the following: a. The Free Body Diagram for both gears. b. The pitch diameters of gears 2 and 3. c. The transmitted load. d. The torque Tin on the pinion shaft. e. The radial and tangential forces on gear 3 f. The output torque of gear 3 shaft.A pair of helical gears mounted on parallel shafts have P, = 6, d, - 20°, and b= 4 in. The 32-tooth pinion and 48-tooth gear are made of steel having 400 Bhn and 350 Bhn, respectively. Manufacturing precision corresponds to curve C of Velocity factor chart. Use a mounting factor of 1.6. Center distance is 7.5 in. 1. What helix angle is required? 2. Estimate the horsepower that can be transmitted for 10 pinion revolutions with 99% reliability and a safety factor of 1.5 if the driving motor rotates 1200 rpm and involyes light shock and the driven load involves medium shock. Check for bending fatigue only.2. A pair of spur gears with 20°, full-depth, involute teeth transmits 7.5 hp. The pinion is mounted on the shaft of an electric motor operating at 1750 rpm. The pinion has 20 teeth and a diametral pitch of 12. The gear has 72 teeth. Compute the following: 1. The rotational speed of the gear 2. The velocity ratio and the gear ratio for the gear pair 3. The pitch diameter of the pinion and the gear 4. The center distance between the shafts carrying the pinion and the gear 5. The pitch line speed for both the pinion and the gear 6. The torque on the pinion shaft and on the gear shaft 7. The tangential force acting on the teeth of each gear 8. The radial force acting on the teeth of each gear 9. The normal force acting on the teeth of each gear
- The following data relate to two meshing gears: Velocity ratio =1:3;Module: 4mm; Pressure Angle: 20°; Center distance: 200 mm Determine the number of teeth and the base circle radius of the gear wheel.Three 14.5° pressure angle spur gears with a diametral pitch of 8 are meshed. The input pinion on the left is running clockwise at 3101 rpm and transmits 3.2 Hp. Gear 1 (Pinion) Input N1 = 20 teeth Gear 2 Idler Gear 3 Output N3 = 25 teeth N2 = 75 teeth Answer the following: 1. Pinion (Gear 1) pitch diameter (1 mark) 2. Gear 2 pitch diameter (1 mark) 3. Gear 3 pitch diameter (1 mark) 4. Circular pitch (1 mark) 5. Addenda (1 mark) 6. Center distance from gear 1 to gear 3 (2 marks) 7. Line of action length for gear 1 contacting gear 2 (2 marks) 8. Contact ratio of gear 1 and 2 (2 marks) 9. Gear ratio from gear 1 to gear 3 (1 mark) 10. Draw a free-body diagram of Gear 2, showing the radial and tangential forces. Calculate these forces. What is the reaction force in the bearing? (3 marks)Two Standard spur gears have a diametral pitch of 10, a pressure angle of 20°, and a velocity ratio equal to 3.5 : 1. The center distance is 8.55 inch. Two helical gears are to be used to replace the two spur gears such that the center distance and angular velocity ratio remain unchanged. The helical gears are also to be cut with the same hob as that used to cut the spur gears. Determine the helix angle, tooth numbers, and minimum face width for the new gears if the helix angel is kept to a minimum.