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A 1.8 m tallman stand in an elevator accelerating upward at 12 m/s?,

what is the blood pressure in the brain and foot.

Take the height difference between the heart and the brain to be

0.35 m?

13.3 x 103 Pa] & [Pblood = 1060 kg.m-3]

Note: [: P Heart

User Lvella
by
5.7k points

1 Answer

11 votes

Answer:

12.483 Kpa

46.806 Kpa

Step-by-step explanation:

Man's height = 1.8m

Pheart = 13.3 * 10^3

Density of blood (ρ) = 1060 kg/m³

Height difference between heart and brain (Hh - Hb) = 0.35m

g = acceleration due to gravity = 9.8 m/s²

Acceleration (a) = 12 m/s²

Blood pressure in brain :

Pbrain = Pheart - ρ(a - g) * (Hh - Hb)

Pbrain = 13.3 * 10^3 - 1060(12 - 9.8) * 0.35

Pbrain = 13300 - (2332 * 0.35)

Pbrain = 13300 - 816.2

Pbrain = 12483.8 pascal = 12.483 Kpa

Blood pressure in feet :

Pbrain = Pheart + ρ(a + g) * 1.8 - (Hh - Hb)

Pbrain = 13.3 * 10^3 + 1060(12 + 9.8)*(1.8 - 0.35)

Pbrain = 13300 + 1060(21.8 * 1.45)

Pbrain = 13300 + 33506.6

Pbrain = 46806.6 pascal = 46.806 Kpa

User NoSense
by
6.1k points