# Ideal rack and pinion, neglecting tooth friction
pinionRadius = 20 mm in 10..50
torque = 2 N*m in 0.5..10
rotation = 1 rad in 0.1..6
rackForce := torque / pinionRadius [N]
rackTravel := rotation * pinionRadius [mm]
check force budget: rackForce >= 50 N
scenario smaller pinion: pinionRadius = 12 mm