2, 3, and 4 please, I have no idea how to do them. Blood pressure at the exit of

Question

2, 3, and 4 please, I have no idea how to do them.

Blood pressure at the exit of the heart is 100 mmHg and upon return it is zero at the entrance to the heart. If the pressure drop along the constriction in figure 2 is approx. 450 Pa, what fraction of the total available blood pressure would this represent? (Calculator permitted) Air moves through the human trachea at 3 m/s during inhalation. A constriction in the trachea leads to a doubling in the air speed. Find (approximately) the pressure change at the constriction (versus that in an unconstructed trachea). Use a density for air of 1.2 kg/m^3. Comment on the significance of this pressure change. Determine the Reynolds number associated with the swimming motion of a microscopic (Chlamydomonas) alga in water at 20 degree C if it has an effective diameter of 10 mu m. The swimming speed of the algae is 100 mu m/s.

Explanation / Answer

total available blood pressure= 100 mm of Hg= 0.1 m of Hg

total pressure= h rho g

rho= density of blood= 1060 kg/m3.

so total pressure= Pa= (0.1)(1060)(9.8)=1038.8 Pa

pressure drop= 450 Pa

so fraction= 450/1080

fraction=0.43

in percaent, fraction= 43%.

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