Max Accel for Pressure in Heart to Reach Brain

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SUMMARY

The maximum acceleration that the heart can pump blood to the brain is determined by the pressure differential between the heart and the foot, factoring in gravitational forces and the height difference. Given that the pressure at the heart (Pheart) is 100 mmHg, the equations derived from the forces acting on the body in an accelerating aircraft provide a framework for calculating the maximum acceleration. Specifically, the equations Pfoot = ρ(blood)H(g+a) and Pheart = Pfoot - ρ(blood)(H-0.5)(g+a) are critical in this analysis. The discussion emphasizes that the problem is simpler than it appears, and the established pressure at the heart is indeed 100 mmHg.

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A man is standing up in aircraft that has a constant accerelation upward. Find the maximum accerelation that heart can't pump blood to brain. Head is 50cm above the heart. Pheart=100mmHg
ΣF=ma
Fn-mg=ma
Fn=m(g+a)=ρ(blood)V(g+a)
Pfoot=ρ(blood)H(g+a)
Pheart=Pfoot-ρ(blood)(H-0.5)(g+a)
I don't know in this situation Pheart=100mmHg or not
 
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It's a lot simpler than you think.

Pfoot=ρ(blood)H(g+a).....(1)
Pheart=Pfoot-ρ(blood)(H-0.5)(g+a)......(2)

The hard way to solve this is to expand (2) and substitute (1) into (2) to eliminate Pfoot and H.

Try it and the answer might suggest an easier way.
 
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aopaop03 said:
I don't know in this situation Pheart=100mmHg or not

Yes. That's the pressure the heart can create.
 
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