SOLUTION: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa
Log On
Question 1129716: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa, what is the volume flow rate of blood in the pulmonary artery? Give your answer in cm3/s. The viscosity of blood at 37°C is 2.1 x 10-3 Pa s. Answer by ikleyn(52757) (Show Source):
For your convenience, I place this solution here again.
Use the Hagen-Poiseuille equation
Q =
in standard fluid-kinetics notation
ΔP is the pressure difference between the two ends,
L is the length of pipe,
μ is the dynamic viscosity,
Q is the volumetric flow rate,
R is the pipe radius.
In your case Q = = m^3/s = 5.06 cm^3/s.
Answer. 5 cubic centimeters per second, approximately.
