Fluids for which the shearing stress, \(\tau\), is not linearly related to the rate of shearing strain, \(\dot{\gamma}\), are designated as nonNewtonian fluids. Such fluids are commonplace and can exhibit unusual behavior, as shown in Video V1.6. Some experimental data obtained for a particular non-Newtonian fluid at \(80{ }^{\circ} \mathrm{F}\) are shown below.

Plot these data and fit a second-order polynomial to the data using a suitable graphing program. What is the apparent viscosity of this fluid when the rate of shearing strain is \(70 \mathrm{~s}^{-1}\) ? Is this apparent viscosity larger or smaller than that for water at the same temperature?

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(lb/ft) 0 2.11 7.82 18.5 31.7 (s) 0 50 100 150 200