Answer
$33000/\pi $ rpm
Work Step by Step
We know that $v=r\omega$, hence here: $\omega=\frac{v}{r}=1100/1=1100$ rad/sec
$1100$rad/sec$=60\cdot11000=66000$rad/min
One complete revolution is the same as $2\pi$ radians, hence: $\omega=66000/(2\pi)=33000/\pi $ rpm