A $550\mathrm{.}0$ g

bird is flying horizontally at $2\mathrm{.}50$ m$/$s

$,$ not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it $25\mathrm{.}0$ cm

below the top $($Figure $1).$ The bar is uniform, $0\mathrm{.}800$ m

long, has a mass of $1\mathrm{.}50$ kg

kg

$,$ and is hinged at its base. The collision stuns the bird so that it just drops to the ground afterward $($but soon recovers to fly happily away$).$ What is the angular velocity of the bar just after it is hit by the bird?

Express your answer in radians per second.Hinge