IC L$1$ Dimensions and Properties

A viscometer is a rotating cylinder inside a fixed sleeve with a solid bottom. The gap between the cylinder and the sleeve is $1$ mm on the sides and on the bottom. The gap is filled to a depth of $10$ cm $,$ the rotating cylinder has a diameter of $4$ cm $,$ and the rotation rate of the cylinder is $600$ rpm $.$ Torque is measured and related to the viscosity. Glycerin has a viscosity of $1\mathrm{.}5k\frac{g}{m}-s.$ Determine the torque that would be measured in the viscometer for glycerin. The velocity of a rotating body is $r,$ where $$ is measured in rad$/$s$.$