A fluid sample is contained between two parallel plates separated by a distance of $2 \pm 0.1 \mathrm{~mm}$. The area of the plates is $100 \pm 0.01 \mathrm{~cm}^{2}$. The bottom plate is stationary, and the top plate moves with a velocity of $1 \mathrm{~cm} / \mathrm{s}$ when a force of $315 \pm 25$ dyn is applied to it, and at $5 \mathrm{~cm} / \mathrm{s}$ when the force is $1650 \pm 25$ dyn.

(a) Is the fluid Newtonian?

(b) What is its viscosity?

(c) What is the range of uncertainty to your answer to (b)?