Rack & Pinion Calculator

Pinion & Rack Parameters

Module m

Pinion Teeth z

Pressure Angle α °

Face Width b mm

Operating Conditions

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 (rack) ha

— mm

Dedendum (rack) hf

— mm

Whole Depth h

— mm

Tooth Thickness (at PL) 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