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Calculate the difference in blood pressure between the feet and the top of the head for a person who is 1.70 meters tall.

Answer :

Final answer:

The difference in blood pressure between the feet and top of the head in a person who is 1.7m tall is calculated by applying the formula for pressure in a fluid column beneath gravity. Taking density of blood and acceleration due to gravity into account, the additional pressure at the feet is found to be about 133.08 mm Hg.

Explanation:

To calculate the difference in blood pressure between the feet and the top of the head, you need to take into account the effect of gravity on the column of blood between these two points. This is related to the person's height, h = 1.70 m. Pressure in a fluid column under the gravity is given by the equation P = hρg, where P is pressure, h is the height of the fluid column, ρ is the density of the fluid, and g is the acceleration due to gravity.

The density (ρ) of blood is about 1060 kg/m³ and g = 9.81 m/s². Therefore, the pressure at the feet due to height is (1.70 m) * (1060 kg/m³) * (9.81 m/s²) = 17742.7 Pascal's. Converting this to mm Hg, we get, 17742.7/133.322 = 133.08 mm Hg. This is the additional pressure the feet experiences due to height.

It is important to note that these calculations assume no loss of pressure due to resistance in the circulatory system, a factor which could somewhat refine these calculations in reality.

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Rewritten by : Jeany

Answer:

[tex]P_2 - P_1 = 1.8 * 10^4\ Pa[/tex]

Explanation:

Given

[tex]Height (h) = 1.70m[/tex]

Required

Determine the difference in the blood pressure from feet to top

This is calculated using Pascal's second law.

The second law is represented as:

[tex]P_2 = P_1 + pgd[/tex]

Subtract P1 from both sides

[tex]P_2 - P_1 = pgd[/tex]

Where

[tex]p = blood\ density = 1.06 * 10^3kg/m^3[/tex]

[tex]g = acceleration\ of\ gravity = 9.8N/kg[/tex]

[tex]d =height = 1.70m[/tex]

P2 - P1 = Blood Pressure Difference

So, the expression becomes:

[tex]P_2 - P_1 = 1.06 * 10^3 * 9.8 * 1.70[/tex]

[tex]P_2 - P_1 = 17659.6Pa[/tex]

[tex]P_2 - P_1 = 1.8 * 10^4\ Pa[/tex]

Hence, the difference in blood pressure is approximately [tex]1.8 * 10^4\ Pa[/tex]