Calculate the difference in blood pressure between the top of the head and the t

Question

Calculate the difference in blood pressure between the top of the head and the toes of a human by treating the blood as a static fluid (this is a very crude approximation because there is a pump which is making the blood flow). Assume that the person is 186 cm tall and that the density of blood is 1060 kg/m3 (use g=10 m/s2). For comparison, "normal" blood pressure is about 880 mm Hg = 117 kPa, this comprises 760 mm Hg of atmospheric pressure and 120 mm Hg of relative pressure.

The difference in blood pressure is  kPa

Explanation / Answer

given
rho = 1060 kg/m^3
h = 186 cm = 1.86 m

we know, g = 9.8 m/s^2

the diffrence in blood pressure = rho*g*h

= 1060*9.8*1.86

= 19321 pa

= 193.2 kPa

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