What is velocity of sliding?

Sliding velocity is the relative velocity in a transverse plane of a common contact point between mating gear teeth. As shown in Fig. 1, it is the vectorial difference between the two rolling velocities that are tangential to the tooth profiles and perpendicular to the line of action.

How do you find sliding velocity?

Find the velocity of sliding at the end of the contact. Velocity of sliding = (ω_p + ω_g) x Path of recess = (7.854 + 2.168) x 9.755 = 97.77 mm/s. 9. The angular velocity of the pinion is 150 rpm and that of the gear is 75 rpm.

What is specific sliding in gears?

In ISO, specific sliding is the ratio of the sliding speed to the speed of a transverse profile in the direction of the tangent to the profile. In AGMA, specific sliding is ratio of gear tooth sliding velocity to its rolling velocity.

Do gears slide or roll?

Gear teeth are specifically designed with an involute profile shape so that they don't slip or slide across each other, but roll.

When two teeth profile of gears are conjugate the sliding velocity between them?

When two teeth profiles of gears are conjugate the sliding velocity between them is alwase zero, all through the path of contact.

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What is gear velocity ratio?

Velocity ratio of gears is also called as gear ratio. Gears are counted by its teeth. The ratio of number of teeth on the follower to the number of teeth on the driver is called as gear ratio or its velocity ratio.

What is conjugate motion in gear?

Definition. A pair of transverse gear tooth profiles is said to be conjugate if a constant angular velocity of one profile produces a constant angular velocity in the meshing profile.

Do gears slide?

When gear teeth mesh, they roll and slide together. The first point of contact is near the root of the driving tooth and the tip of the driven tooth. As contact between the gear teeth progresses, sliding predominates while rolling is minimized.

What is law of gearing?

The law of gearing states that common normal must always pass through the pitch point at the point of contact between a pair of teeth and the angular velocity ratio of all gears must remain constant throughout the gear mesh.

What is the gear ratio formula?

The gear ratio is calculated by dividing the output speed by the input speed (i= Ws/ We) or by dividing the number of teeth of the driving gear by the number of teeth of the driven gear (i= Ze/ Zs).

What is meant by contact ratio?

The Contact Ratio (CR) is defined as the mean number of teeth in contact during transmission.

What is compound gear train?

When there is more than one gear on a shaft, as shown in Fig. 1, it is called a compound train of gear. We have seen in previous section that the idle gears, in a simple train of gears do not affect the speed ratio of the system. But these gears are useful in bridging over the space between the driver and the driven.

In which type of gearing the contact is point contact *?

Answer. Answer: There is a point of contact between two gears where as there is a line contact in a helical gear. Because of point of contact which changes during action, there is considerable sliding between the teeth.

What does a low coefficient of friction mean?

The coefficient of friction, µ, is a measure of the amount of friction existing between two surfaces. A low value of coefficient of friction indicates that the force required for sliding to occur is less than the force required when the coefficient of friction is high.

What is Lewis form factor?

The lewis form factor formula is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth and is represented as Y = S_b/(m*σ_b*b) or Lewis Form Factor = Beam Strength of Gear Teeth/(Module*Bending Stress in gear teeth*Face Width of Gear Tooth).

Why pinion is smaller than gear?

If the smaller of a gear pair (the pinion) is on the driving shaft, the pair acts to reduce speed and to amplify torque; if the pinion is on the driven shaft the pair acts as a speed increaser and a torque reducer.

What is circular pitch?

Pitch measurements

Circular Circular pitch is the distance from a point on one tooth to the corresponding point on the next tooth measured along the pitch circle as shown in Figure 57.32. Its value is equal to the circumference of the pitch circle divided by the number of teeth in the gear.

What is tooth profile?

The tooth profile is one side of a tooth in a cross section between the outside circle and the root circle of the gear. It normally refers to the curve of the intersection of a tooth surface and a plane or surface normal to the pitch surface, such as the transverse, normal, or axial plane.

How do gears move?

Gears are wheels with teeth that slot together. When one gear is turned the other one turns as well. If the gears are of different sizes, they can be used to increase the power of a turning force. The smaller wheel turns more quickly but with less force, while the bigger one turns more slowly with more force.

What is tooth thickness?

The tooth thickness t_s of a gear is defined as the arc length between opposite faces of a tooth, measured around the standard pitch circle.

What is root clearance in gears?

The distance between the outside circle of a gear and the root circle of its mating gear (the gap) is called the root clearance. This distance (the gap) is also called the root clearance, top clearance, bottom clearance or simply the clearance.

What is addendum gear?

The addendum is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and the outside diameter.

What is the contact ratio for gears?

Contact ratio is average number of gear teeth in contact with one another as the gears are in operation. Gear tooth profiles must be dimensioned in such a way that more than one pair of gears must be in contact with one another. This insures smooth and quiet operation of the gear pair.

What is velocity ratio formula?

The velocity ratio (V.R.) of a machine is the ratio of distance moved by the effort to distance moved by the load. Formula – Velocity Ratio = Distance moved by the effort / Distance moved by the load = y/x. The velocity of given machine can also be determined by assuming the machine to be ideal.