A person is donating blood. The pint bag in which the blood is collected is initially flat and is at atmospheric pressure. Neglect the initial mass of air in the 1/8-in. I.D., \(4 \mathrm{ft}\)-long plastic tube carrying blood to the bag. The average blood pressure in the vein is \(40 \mathrm{~mm} \mathrm{Hg}\) above atmospheric pressure. Estimate the time required for the person to donate one pint of blood. Assume that blood has a specific gravity of 1.06 and a viscosity of \(1.0 \times\) \(10^{-4} \mathrm{lb} \cdot \mathrm{sec} / \mathrm{ft}^{2}\). The needle's I.D. is 1/16 inch and the needle length is \(2.0 \mathrm{in}\). The bag is \(1.0 \mathrm{ft}\) below the needle inlet and the vein's I.D. is \(1 / 8\) in. Optional: Donate a pint of blood and check your answer.