Serway & Jewett — Fluid Mechanics: Problem 29

What radius needle should be used to inject a volume of \(500 \text{ cm}^3\) of a solution into a patient in \(30.0 \text{ min}\)? Assume the length of the needle is \(2.50 \text{ cm}\) and the solution is elevated \(1.00 \text{ m}\) above the point of injection. Further, assume the viscosity and density of the solution are those of pure water, and that the pressure inside the vein is atmospheric.