You really want that Summer 6-pack (not the kind from 7-11) so you buy a workout

Question

You really want that Summer 6-pack (not the kind from 7-11) so you buy a workout machine where you hang upside-down from your feet and do situps. You get really good at this and can bring your upper body from completely upside-down to completely vertical (so 90 more degrees than this Assuming the distance from your waist (axis of rotation) to your carotid baroreceptors is 60 cm, calculate the pressure drop the baroreceptors see when you perform one of these situps. The density of Hg is 13.6 g/cm^3, the density of blood is 1060 kg/m^3, and the acceleration of gravity is 9.81 m/s^2.

Explanation / Answer

given

rho_blood = 1060 kg/m^3

rho_mercury = 13.6 g/cm^3 = 13600 kg/m^3

h = 60 cm

= 0.6 m

pressure of drop = rho_blood*g*h

= 1060*9.81*0.6

= 6239.16 pa

= 6239.16/(rho_mercury*g)

= 6239.16/(13600*9.81)

= 0.04676 m og Hg

= 4.676 cm of Hg

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