A fluid sample is tested in a cup and bob viscometer that has a cup diameter of

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A fluid sample is tested in a cup and bob viscometer that has a cup diameter of 2.25 in., a bob diameter of $2 \mathrm{in}$., and length of $3 \mathrm{in}$. The following data are obtained:

Rotation Rate (rpm)Torque (dyn cm)
202,500
505,000
1008,000
20010,000

(a) Determine the viscosity of this sample.

(b) What model would provide the best representation of this viscosity function, and why?

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