For full depth of involute spur gears. minimum number of teeth of pinion to avoid interference depends upon (a) pressure angle B)speed rati
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Q: minimum number of teeth of pinion to avoid interference depends upon (a) pressure angles
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A: given; gear reduction ratio(G)=2.32center distance(d)=83mmmodule(m)=2mmpressure angle(φ)=200
For full depth of involute spur gears. minimum number of teeth of pinion to avoid interference depends upon
(a) pressure angle
B)speed ratio
C)circular pitch
D)pitch diameter
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- 2-) Answer the following questionsa-) The number of teeth that the gear wheels will have at least in order not to be cut from under the profile is called the limit tooth number. Calculate the theoretical minimum number of teeth the pinion gear can have by considering the reference profile without profile slip in evolvent gears, taking the clutch angle of 250.b-) If a gear system is dimensioned according to surface pressure calculations and controlled according to strength, how can a comment be made about the hardness of the gear wheel. Give examples of what the material of this gear wheel could be (3 pieces).Two mating involute spur gears of 20 pressure angle have a gear ratio of 2. The number of teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of teeth is 10 mm. If the addendum on each wheel is such that the path of approach and the path of recess on each side are half the maximum possible length cach, find: i) the addendum for pinion and gear wheel, i) the length of arc of contact, iiithe maximum velocity of sliding during approach and recess. Assume pinion to be driver.Bevel Gear A pair of bevel gears connects shafts at right angle with speed ratio of 2:3. The larger gear has 30 teeth with 4-tooth per inch diametral pitch. The gear is made up of 20°involute full depth. Determine the following: a) the number of teeth of pinion b) the pitch angle of gear c) the pitch angle of pinion d) the pinion diameter e) the gear diameter f) the length of cone g) the expected value of addendum h) the expected value of addendum angle i) the face angle of pinion j) the face angle of gear k) the dedendum I) the dedendum angle m) the cutting angle of pinion n) the cutting angle of gear.
- Bevel Gear A pair of bevel gears connects shafts at right angle with speed ratio of 2:3. The larger gear has 30 teeth with 4-tooth per inch diametral pitch. The gear is made up of 20°involute full depth. Determine the following: a) the number of teeth of pinion b) the pitch angle of gear c) the pitch angle of pinion d) the pinion diameter e) the gear diameter f) the length of cone g) the expected value of addendum h) the expected value of addendum angle i) the face angle of pinion j) the face angle of gear k) the dedendum l) the dedendum angle m) the cutting angle of pinion n) the cutting angle of gear.A gear train is designed to reduce the speed of the wheel as shown The information of the gears is also listed Motor Gear Number of teeth 12 48 C 12 C 28 Wheel 12 2" diameter F 48 a). If the speed of the motor is 3000 rpm, what would be the speed of the wheel? rpm. b). If the tangential velocity of the wheel is required to be 24 ft/min. what would be the required speed of the motor? rpm Wheel 2" diameter 24 ft/minIn the figure below the gears are 20º full depth of AGMA Quality No 8. a) Find the horsepower transmitted by the 1-2 mesh b) Find the required width b for the 3-4 mesh if they are carrying the same horsepower as the 1-2 mesh. No.2, C.I. BHN=220 P=4, N₂=72,b=2" No 1, Steel, P=4, N₁=24,b=2" n₁ = 570 rpm /No.4.CI. BHN=220 P=3, N₂=72 No.3, Steel, P=3, N₁=24
- A compound epicyclic gear train. Wheels A, D, and E are free to rotate independently on spindle O, while B and C are compound and rotate together on spindle P, on the end of arm OP. All the teeth on different gears have the same module. A, B, and C have 14 teeth, 32 teeth, and 16 teeth respectively, which are cut externally. a) Find the number of teeth on wheels D and E which are cut internally. b) Determine the magnitude and direction of the angular velocities of arm OP and gear E If wheel A is driven counterclockwise at 2 r.p.m while D is driven clockwise at 6 r.p.m., and the number of teeth of gears E and D, are 78 and 62 respectively. (Must use Tabular method) another method not accepted). Steps nber of teeth Step1 Step2 Arm OP Gear A Gear B Gear C Gear D Gear E Ac) Two gear wheels with 50 and 30 teeth respectively, mesh externally, the speed of the smaller being 1800 r.p.m. Determine the velocity of sliding between the gear teeth faces at the point of engagement, at the pitch point, and at the point of disengagement if the smaller gear is the driver. Assume that the gear teeth are 18° involute form, addendum length is 8 mm and the module is 5 mm. Also find the angle through which the pinion turns while any pairs of teeth are in contact.1) A 20°, 24-tooth gear has AGMA standard full-depth involute teeth with diametral pitch of 5. Calculate the pitch diameter, circular pitch, addendum, dedendum, standard face width and base circle diameter. 2) Two mating internal 10-pitch, spur gears have 16 and 86 teeth. Determine the center distance. 3) Two mating external 8-pitch, 20o , spur gears have 24 and 64 teeth. Determine the contact ratio. 4) Two mating 20°, 8-pitch, spur gears have 14 and 42 teeth. Will they interfere? 5) A pair of 20°, mild-steel gears are to be selected for an application where they need to transfer 5 hp. The pinion drives at 1800 rpm and the gear must rotate as close to 480 rpm as possible. Select a set of gears to accomplish this task. a) Determine a suitable diametral pitch and pressure angle. b) Use the required velocity ratio to iterate and determine appropriate number of teeth (confirm that these gears are commercially available). c) Calculate the pitch diameters and center distance.
- Question 2 PLATE TYPE FORMAT HAND DRAWN & HAND WRITTEN A gear train is to be devised using all external gears on parallel shafts. Use no more than 150 teeth in any gear and 20° full depth involute teeth. The input speed is 30.5433 rad/min and the output is 4.24697 E-2 radis to 4.36333 E-2 rad/s. Ensure there is no interference and sketch the layout your design.b) A gear box has an input speed of 1800 rev/min clockwise and an output speed of 400 rev/min anticlockwise. The input power is 25kW and the efficiency is 90%. Compute i. the input torque ii. the output power ii. the output torqueA parallel helical gearset consists of a 15-tooth pinion driving a 37-tooth gear. The pinion has a left-hand helix angle of 35°, a normal pressure angle of 26°, and a normal module of 3 mm. Find: a) The normal, transverse, and axial circular pitches b) The transverse diametral pitch and the transverse pressure angle c) The addendum, dedendum, and pitch diameter of each gear