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Two involute gears in a mesh have path of approach = 29.83 mm and path of recess = 21.09 mm. The larger gear has 40 teeth and the pinion has 12 teeth. Find the ratio of the sliding to rolling velocity at the: i) beginning of contact ii) end of contact iii) pitch point r = 72 mm
Consider the following statements: In case of helical gears, teeth are cut at an angle to the axis of rotation of the gears. 1) Helix angle introduces another ratio called axial contact ratio. 2) Transverse contact ratio is equal to axial contact ratio in helical gears. 3) Large transverse contact ratio does not allow multiple teeth to share the load. 4) Large axial contact ratio will cause larger axial force component Which of the above statements are correct?
Two involute gears in a mesh have a module of 10 mm and the pressure angle is 35°. The larger gear has 45 teeth whereas the pinion has 15 teeth. The addendum is equal to one module. Find the arc of contact.
The normal circular pitch of two helical gears in a mesh is 7 mm. If the number of teeth on the smaller gear is 22 and the gear ratio is 2, find the pitch diameters of the gears. Ψ1 = 40° and Ψ2 = 25°.
Consider the following statements: 1. In spur gears, the contact occurs abruptly on a line parallel to the axis, and the disengagement too is abrupt. 2. In helical gears, both loading and unloading are gradual, and therefore, these happen more smoothly and less noisily 3. When two gears mesh, any arbitrary shape of the tooth can be chosen for the profile of the teeth of any one of the two gears, and the profile for the other shall be obtained by applying the law of gearing. Which of the above statements are correct?
The pressure angle of two gears in a mesh is φ = 25°. The number of teeth on the pinion is 25 and the number of teeth on the gear is 70. The module is given to be 10 mm. The addendum is 1.1 times the module. Find the path of approach and path of contact of these gears.
The number of teeth on two meshing gears is 40. The teeth have 20° involute profile and the module is 6 mm. What will be the circular pitch?
The pressure angle of two gears in a mesh is φ = 20°. The gear ratio is 3 and the number of teeth on the pinion is 20. The module is given to be 8 mm. The addendum is one module. Find the path of contact of these two gears.
The pressure angle of two gears in a mesh is φ = 25°. The number of teeth on the pinion is 45 and the gear ratio is 2. The module is 6 mm and addendum = 1.1 module. Find the contact ratio of these two gears.
Steps given are to draw an involute of a given triangle ABC. Arrange the steps. i. With C as centre and radius C1 draw arc cutting AC-extended at 2. ii. With A as center and radius A2 draw an arc cutting BA- extended at 3 completing involute. iii. B as centre with radius AB draw an arc cutting the BC- extended at 1. iv. Draw the given triangle with corners A, B, C.