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 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? (assuming the viscosity of the medicine as the same as the viscosity of water at room temperature)