4. An arteriole has a radius of 25 μm and it is 1000 μm long. The viscosity of blood is 3 x 10-3 Pa s and its density is...
4. An arteriole has a radius of 25 μm and it is 1000 μm long.
The viscosity of blood is 3 x 10-3 Pa s and its density is 1.055 g
cm-3. Assume the arteriole is a right circular cylinder.
A. Assuming laminar flow, what is the resistance of this
arteriole?
Homework Answers
The resistance can be calculated from Poiseuille’s law for
laminar flow
R = 8 l /
a4
plugging in the values given,
R = [8 x 3 x 10-3 Pa s x 1000 x 10-6 m ] / [
(25 x
10-6m)4 = 1.96 x 1013 Pa
m-3s
the resistance of this arteriole is 1.96 x 1013 Pa m-3s
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