# Universal-joint speed variation
# Scope: Single Hooke joint instantaneous velocity ratio at one phase.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

angle = 15 deg
phase = 45 deg
inputSpeed = 600 rpm

ratio := cos(angle)/(1-sin(angle)^2*sin(phase)^2)
outputSpeed := ratio*inputSpeed [rpm]

check velocity ratio budget: ratio <= 1.1

scenario alternative: angle = 12 deg