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## Homework Statement

Question Details:

A hypodermic syringe is attached to a needle that has an internal radius = .300mm and Length=3.00cm

The needle is filled with solution of viscosity= 2.00 x 10^(-3) Pa.S

And injected at a vein with a gauge pressure of 16mm Hg

What must the pressure of the fluid in the syringe be in order to inject the solution at a rate of .250 mL/s?

**Answer = 6850 Pa**

## Homework Equations

Poisellous equation

## The Attempt at a Solution

I attempted to use Poisellous Law for Viscous flow

this is my setup

delta p =

[(8/pi *delta V/ delta t)/(r

^{4})]*L*Viscosity

and here i should be able to solve for fluid pressure

my gauge pressure us 16mm Hg-do i need to convert it to Pa?

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