The angular velocity of a particle rotating in a circular orbit $100$ times per minute is
$1.66\, rad/s$
$10.47\, rad/s$
$10.47 \,deg/s$
$60 \,deg/s$
The angular velocity of a particle rotating in a circular orbit $100$ times per minute is
$\omega = 2\pi n = \frac{{2\pi \times 100}}{{60}} = 10.47\,rad/s$