Answer
The angular velocity is $~~440~rad/s$
Work Step by Step
We can find the magnitude of the angular momentum:
$L = \tau~t$
$L = (16~N\cdot m)(33\times 10^{-3}~s)$
$L = 0.528~kg~m^2/s$
We can find the angular velocity:
$L = I\omega$
$\omega = \frac{L}{I}$
$\omega = \frac{0.528~kg~m^2/s}{1.2\times 10^{-3}~kg~m^2}$
$\omega = 440~rad/s$
The angular velocity is $~~440~rad/s$.
