Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁ + ω₂) y
(ω₁ + ω₂)/y
(ω₁/ω₂) y

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Theory of Machine
The contact ratio is given by

(Length of the path of approach)/(Circular pitch)
(Length of the arc of approach)/cosφ
(Length of path of recess)/(Circular pitch)
(Length of the arc of contact)/(Circular pitch)

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Theory of Machine
The maximum fluctuation of speed is the

Variations of speed above and below the mean resisting torque line
Sum of maximum and minimum speeds
Difference of the maximum and minimum speeds
Difference of minimum fluctuation of speed and the mean speed

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