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Fluid: Poiseuille's Equation

Q- A hypodermic syringe is attached to a needle that has an internal radius of 0.3 cm and a length of 3 cm. The needle is filled with a solution of viscosity 2*10-3 Pa.s to be injected into a vein at a gauge pressure of 16.5 mm of Hg.

(a) What must be the pressure of the fluid in the syringe be in order to inject the solution at a reate of 0.25 mL/s?

(b) What force must be applied to the plunger which has an area of 1 cm2?

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