A dilute aqueous slurry containing solids with a diameter of $20 \mu \mathrm{m}$ and $S G=1.5$ is fed to a centrifuge rotating at $3000 \mathrm{rpm}$. The radius of the centrifuge is $18 \mathrm{in}$., its length is $24 \mathrm{in}$., and the overflow weir is $12 \mathrm{in}$. from the centerline.

(a) If all of the solids are to be removed in the centrifuge, what is the maximum capacity that it can handle (in gpm)?

(b) What is the diameter of the gravity settling tank that would be required for this separation, at the same flow rate?