Calculate the difference in blood pressure between the feet and top of the head for a...
Calculate the difference in blood pressure between the feet and top of the head for a person who is 1.80 m tall.
Consider a cylindrical segment of a blood vessel 2.00 cm long and 1.60 mm in diameter. What additional outward force would such a vessel need to withstand in the person's feet compared to a similar vessel in her head?
Homework Answers
GIVEN
height h = 1.8 m
length of blood vessel = 2 cm
diameter of blood vessel = 1.6mm = 0.16 cm
assumption density of blood = density of water
SOLUTION
a)
Difference in pressure ∆P = density x g x difference in height
where g = acceleration due to gravity
therefore ∆P = 1000kg/m3 x 9.8 x 1.8 = 17640 N/m2
b)
Force F = Pressure x Area
here area is the curved surface area of cylinder and P = difference in pressure
F = 17640 x pi x diameter x length
= 17640 x 3.14 x 0.0016 x 0.02 N
= 1.772N
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