Rack and Pinion

Purpose

Ideal conversion between translational and rotational motion

Library

Mechanical / Translational / Components

Mechanical / Rotational / Components

Description

The Rack and Pinion models an ideal converter between translational and rotational motion. The relation between the torque, force and speeds of the two flanges is described with the following equations:

\[\begin{split}v &= R \cdot \omega \\ \tau &= R \cdot F\end{split}\]

where \(R\) is the pinion radius.

Parameters

Pinion radius: The pinion radius \(R\). A negative value will cause the flanges to move in opposite directions.