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
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)/(r4)]*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?