When a pilot takes a tight turn at high speed in a modern fighter airplane, the blood pressure at the brain level decreases, blood no longer perfuses the brain, and the blood in the brain drains. If the heart maintains the (hydrostatic) gauge pressure in the aorta at 120 torr (or mm Hg) when the pilot undergoes a horizontal centripetal acceleration of 4g, what is the blood pressure (in torr) at the brain, 30 cm radially inward from the heart? The perfusion in the brain is small enough that the vision switches to black and white and narrows to “tunnel vision” and the pilot can undergo g-LOC (“ginduced loss of consciousness”). Blood density is 1.06 * 10^3 kg/m3

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 66PQ
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When a pilot takes a tight turn at high
speed in a modern fighter airplane, the blood pressure at the brain
level decreases, blood no longer perfuses the brain, and the blood in
the brain drains. If the heart maintains the (hydrostatic) gauge pressure
in the aorta at 120 torr (or mm Hg) when the pilot undergoes a horizontal
centripetal acceleration of 4g, what is the blood pressure (in
torr) at the brain, 30 cm radially inward from the heart? The perfusion
in the brain is small enough that the vision switches to black and white
and narrows to “tunnel vision” and the pilot can undergo g-LOC (“ginduced
loss of consciousness”). Blood density is 1.06 * 10^3 kg/m3

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