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Red88
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Hi all,
I have been having some problems with this question from my Biophysics homework. The topic is fluid dynamics...
Find the difference between the blood pressure in a pilot's head and his feet, if he sits in a plane which goes into a dive following a vertical circular path. Take the circle to have a radius of 650 meters, his speed in the circle to be 140 meters/sec and the distance from his feet to his head to be 1.30 meters.
P1 + pgh1 + (1/2)pv1^2 = P2 + pgh2 + (1/2)pv^2, where I assumed that the density in question (p) is the same throughout and is equal to the density of air (p = 1.204 kg/m^3)
Of course, this problem could involve the concept of centripetal acceleration (a = v^2/R)...
P1 + pgh1 = P2 + pgh2 + (1/2)pv^2
P1 - P2 = (1/2)pV^2 + pgh2 - pgh1
P1 - P2 = p(1/2v^2 + gh2 - gh1)
P1 - P2 = (1.204kg/m^3)((1/2)(140m/s)^2+(9.8m/s^2)(650m + 1.3m) - (9.8m/s^2)(1.30m))
=> P1-P2 = 1.95 x 10^4Pa (most likely incorrect)
Any help will be appreciated for this newbie - Thanks!
I have been having some problems with this question from my Biophysics homework. The topic is fluid dynamics...
Homework Statement
Find the difference between the blood pressure in a pilot's head and his feet, if he sits in a plane which goes into a dive following a vertical circular path. Take the circle to have a radius of 650 meters, his speed in the circle to be 140 meters/sec and the distance from his feet to his head to be 1.30 meters.
Homework Equations
I suppose the Bernoulli equation would come into this problem since we are determining pressure change due to velocity and vertical displacement:P1 + pgh1 + (1/2)pv1^2 = P2 + pgh2 + (1/2)pv^2, where I assumed that the density in question (p) is the same throughout and is equal to the density of air (p = 1.204 kg/m^3)
Of course, this problem could involve the concept of centripetal acceleration (a = v^2/R)...
The Attempt at a Solution
P1 + pgh1 = P2 + pgh2 + (1/2)pv^2
P1 - P2 = (1/2)pV^2 + pgh2 - pgh1
P1 - P2 = p(1/2v^2 + gh2 - gh1)
P1 - P2 = (1.204kg/m^3)((1/2)(140m/s)^2+(9.8m/s^2)(650m + 1.3m) - (9.8m/s^2)(1.30m))
=> P1-P2 = 1.95 x 10^4Pa (most likely incorrect)
Any help will be appreciated for this newbie - Thanks!