Question$3$: with a tubular centrifuge we want to sperate adeno associated virus particles

It has been determined that the viruses are approximately spherical with a diameter of

$0\mathrm{.}005\backslash$mu m and hare density of $0\mathrm{.}5$ g$/$cm$^3.$The speed of the centrifuge is $1000$rpm$,$ the bowl

Length is $50$ cm $,$ and the outlet opening of the bowl has a diameter of $2$ cm $.$ Estimate the maximum flow rate of the fermentation broth that can be attained