$(8)$ Consider the rotary viscometer used in lab $($the one that had the spinning cylinder$).$ While the one in lab, has a spinning cylinder and the station cup, consider a more primitive version in the figure to the right which features a rotating outer cylinder an inner cylinder which is attached to a wire and allowed to rotate.

Assume the following equation accurately describes the instrument:

$=f(,,K,D_1,D_2,l)$

Where $$ is the angle of twist, $$ is the angular velocity, $$ is the fluid viscosity, $K$ depends on the wire properties and has the dimension force$-$length $(F*L),D_1$ and $D_2$ are the diameters of the inner and outer cylinders, respectively, and $l$ is the length of the submerged liquid. $($Hint: angle are unitless$)$

The following data was collected using the following: $=0\mathrm{.}01lb*\frac{s}{f}{t}^2,K=10lb*ft,l=1ft,$ and $D_1$ and $D_2$ were constant.

$\backslash$table$[[(rad),(ra\frac{d}{s})$