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Hypodermic needles come in various diameters, referred to as the Gauge (g), of t

ID: 2104230 • Letter: H

Question

Hypodermic needles come in various diameters, referred to as the Gauge (g), of the needle. A 16 g hypodermic needle has a nominal inner wall diameter of 1.65 mm and a 30 g hypodermic needle has a nominal inner wall diameter of 0.311 mm. Assuming laminar flow through a needle 1 inch in length, if you need to inject 3cubic centimeters (cc) of medicine into a patient in 15 seconds, what is the pressure difference for the case of a 16 g needle as compared to a 30 g needle? (Assume the viscosity of the medicine as the same as the viscosity of water at room temperature)

Please show step by step, the other answers for this question on Chegg aren't clear enough. All help is appreciated!

Explanation / Answer

E = 1/2 C V^2
= 0.5 x 8x10^-6 x 80^2
=0.0256J