Example $4\mathrm{.}8\mathrm{.}1\mathrm{.}1$ Measurement of the Viscosity of Water.

The sliding plate viscometer shown in Fig. $4\mathrm{.}8$ is used to measure the

viscosity of water, a Newtonian fluid, at $20C.$ The force applied to the

viscometer plate is $1\mathrm{.}0mN$ and the velocity of the wall is measured to be

$1c\frac{m}{s}.$ The viscometer plate area is $0\mathrm{.}1m^2$ and the distance between the plate

and stationary wall is $1mm.$ Show that the velocity profile for a Newtonian

fluid in a sliding plate viscometer is linear and use the data to find the

viscosity of water at $20C.$