Hinge Velocities

Classical Mechanics Level 4

A uniform rod of length $\SI{1}{\metre}$ is held horizontally attached with the help of a hinge on one of its end to the roof. After some time it is allowed to fall, find the angular speed (in $\si[per-mode=symbol]{\radian \per \second}$ ) of the rod when it becomes vertical.

Give your answer to 2 decimal places.

Take the acceleration due to gravity to be $10\text{ m/s}^2$ .