Rack & Pinion Calculator
Linear travel, speed, force conversion and rack tooth geometry
Module — m
Pinion Teeth — z
teeth
Pressure Angle — α
Face Width — b
mm
Pinion Speed — n
RPM
Input Torque — T
N·m
Required Stroke — L
mm
Linear travel per revolution = π × PCD. Increasing pinion teeth or module increases travel and force capacity.
Pinion Geometry
Pitch Circle Diameter d
— mm
Tip Diameter da
— mm
Root Diameter df
— mm
Base Circle Diameter db
— mm
Rack Geometry
Circular Pitch p
— mm
Addendum ha
— mm
Dedendum hf
— mm
Whole Depth h
— mm
Tooth Thickness s
— mm
Linear Motion
Travel per Revolution
— mm/rev
Linear Speed v
— mm/s
Linear Speed
— m/min
Tangential Force Ft
— N
Rack Normal Force Fn
— N
Revs for Stroke N
— rev
Stroke Time
— s