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At a given instant, the blood pressure in the heart is . If an artery in the brain is 0.45 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.

Answer :

boffeemadrid

Answer:

11320.63 Pa

Explanation:

[tex]P_2[/tex] = Pressure the heart is pumping at = [tex]1.6\times 10^4\ Pa[/tex] (assumed)

[tex]\rho[/tex] = Density of blood = 1060 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

h = Height = 0.45 m

From Bernoulli's equation we have

[tex]P_1=P_2-\rho gh\\\Rightarrow P_1=1.6\times 10^4-1060\times 9.81\times 0.45\\\Rightarrow P_1=11320.63\ Pa[/tex]

The pressure in the artery is 11320.63 Pa

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