Answer
$$3141.59\;rad/s$$
Work Step by Step
Here, time period of the wave is: $T=2\;ms$
Therefore, the angular frequency is: $\omega=\frac{2\pi}{T}$
Substituting the given values
$\omega=\frac{2\pi}{2\times10^{-3}}\;rad/s$
or, $\boxed{\omega=3141.59\;rad/s}$