An arteriole with a radius of 30 μm, length of 1000 μm feeds into a set of 200 capillaries each with a radius of 4 μm and a length of 500 μm. the viscosity of the blood is 3*10^-3 pa*s and its density is 1.055 g/cm^-3. the input pressure to the arteriole is 100 mmhg and the output pressure at the end of the capillary is 15 mmhg. assume that the capillaries all come off the arteriole at the same place. a. assuming laminar flow, what is the resistance of this arteriole? b. what is the average velocity of blood through the arteriole?
c. how much time does the blood spend in the arteriole?