# Falling Pencil

Estimate the time it takes for a pencil of length $$l=\si{10\ \centi\meter}$$ to fall if the pencil starts from rest at the angle $$\theta_0=\si{0.001\ \radian\square}$$ with the vertical.

• Take the gravitational acceleration to be $$g=\SI{10}{\meter\per\second\squared}$$.