# Angular frequency of pendulum

By applying Newton's secont law for rotational systems, the equation of motion for the pendulum may be obtained τ = I α ⇒ −mgsinθ L = mL2 d2θ dt2 τ = I α ⇒ − m g sin. ( ω t) , where θo θ o is the initial angular displacement, and ω = √g/L ω = g / L the natural frequency of the motion. The period of this sytem (time for one ...