With what angular speed is the stick spinning after the collision?

[dotly]

Homework Statement

A uniform stick 1.2 long with a total mass of 240 is pivoted at its center. A 3.1- bullet is shot through the stick midway between the pivot and one end The bullet approaches at 250 and leaves at 140 .

Homework Equations

The Attempt at a Solution

 

[dotly]

Anyone knows? Please help. Thanks

 

[Fightfish]

HINT: The angular momentum of the system is conserved.