Theory of Machine
The contact ratio is given by

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

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The total acceleration of B with respect to A will be equal to

Vector difference of radial component and tangential component
Vector sum of radial component and Coriolis component
Vector sum of radial component and tangential component
Vector sum of tangential component and Coriolis component

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