# Pendulum into RPM?

by mikej4823
Tags: pendulum
 Mentor P: 11,589 That is one of those formulas. Angular velocity follows a sine curve: $$\omega(t)=\omega_{max}\sin(\sqrt{\frac{g}{l}}t)$$ Energy conservation: ##mgl(1-\cos(30°)=\frac{1}{2}m \omega_{max}^2 l^2## $$\omega_{max}=\sqrt{\frac{g}{l}(2-\sqrt{3})}$$ If you don't care about the instantaneous angular velocity: Each timestep of T, you get 60° rotation of you shaft, which corresponds to one revolution per 6T.