# Timing-belt tooth-count selection
# Scope: Ideal timing pulley; pitch line travel and tooth force.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

pitch = 5 mm
teeth = 20
speed = 600 rpm
torque = 1 N*m

radius := pitch*teeth/(2*pi) [mm]
velocity := speed*radius [m/s]
toothForce := torque/radius [N]

check belt force budget: toothForce <= 100 N

scenario alternative: pitch = 4 mm