Relation between time domain, DTFT domain and frequency domain
If this is a homework problem, shield your eyes.

Otherwise, it is a simple units issue.

S has units of 1k samples per second.

Your frequency is expressed in radians per sample.

There are $ 2 \pi $ radians per cycle.

So the puzzle now is to find the relationship between $\frac{samples}{second}$, $\frac{radians}{sample}$, $\frac{radians}{cycle}$, and your goal of $\frac{cycles}{second}$,