A large tank contains SAE 10 lube oil at a temperature of $60^{circ} mathrm{F}$ and a pressure

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A large tank contains SAE 10 lube oil at a temperature of $60^{\circ} \mathrm{F}$ and a pressure of $2 \mathrm{psig}$. The oil is $2 \mathrm{ft}$ deep in the tank and drains out through a vertical tube in the bottom. The tube is $10 \mathrm{ft}$ long and discharges the oil at atmospheric pressure. Assuming the oil to be Newtonian and neglecting the friction loss from the tank to the tube, how fast will it drain through the tube? If the oil is not Newtonian, but instead can be described as a power law fluid with a flow index of 0.4 and an apparent viscosity of $80 \mathrm{cP}$ at a shear rate of $1 \mathrm{~s}^{-1}$, how would this affect your answer? The tube diameter is $1 / 2 \mathrm{in}$.

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