A film of paint, $3 mathrm{~mm}$ thick, is applied to a flat surface that is inclined to

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A film of paint, $3 \mathrm{~mm}$ thick, is applied to a flat surface that is inclined to the horizontal by an angle $\theta$. If the paint is a Bingham plastic, with a yield stress of $150 \mathrm{dyn} / \mathrm{cm}^{2}$, a limiting viscosity of $65 \mathrm{cP}$, and a $\mathrm{SG}$ of 1.3 , how large would the angle $\theta$ have to be before the paint would start to run? At this angle, what would the shear rate be if the paint follows the power law model instead, with a flow index of 0.6 and a consistency coefficient of 215 (in cgs units)?

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