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Rack
A gear with teeth spaced along a straight line and suitable for producing straight-line motion (instead of in a circle).
It is used to convert a rotary motion (the pinion) to a linear motion (the rack).
A basic rack is one that is adopted as the basis of a system of interchangeable gears. Standard gear-tooth proportions are often illustrated on an outline of the basic rack. A generating rack is a rack outline used to indicate tooth details and dimensions for the design of a required generating tool, such as a hob or gear-shaper cutter.
 
Whereas:
From Gear Data

Formula:

 

 

 

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