Answer
$6000^{\circ}$
Work Step by Step
1. We need to know number of rotations per second:
$\frac{1000rot}{1min}$$\times$$\frac{1min}{60sec}$ = 16.6 rot/sec
3. As we know each rotation is 360$^{\circ}$, therefore we just need to multiply:
16.6rot$\times$$\frac{360^{\circ}}{1rot}$ = 6000$^{\circ}$