What is the difference in blood pressure (mm−Hg) between the top of the head and bottom of the feet of a 1.82m tall person standing vertically?

assuming blood is water, the pressure of a column of water 1.82 meters is

1041kg/m^3*1.82m*9.8N/kg=18.6kPa-18.6/101.3 * 760 mmHg

To calculate the difference in blood pressure between the top of the head and the bottom of the feet of a person standing vertically, we need to consider the hydrostatic pressure due to the height of the blood column.

The hydrostatic pressure is given by the formula: pressure = density x gravity x height.

1. First, we need to determine the height difference between the top of the head and the bottom of the feet. For a person who is 1.82m tall, we can assume that the distance from the top of the head to the heart is approximately half the height, so it would be 0.91m.

2. Next, we need to calculate the pressure difference between the two points. Since blood is a fluid with a relatively constant density, we can ignore this factor for simplicity.

3. The gravity component of the formula will be the same at both points, so it cancels out when calculating the difference.

4. Therefore, the only factor that affects the pressure difference is the height difference between the two points.

5. Using the formula pressure = density x gravity x height, we can calculate the pressure difference as follows:
pressure difference = height difference x density x gravity

Assuming a uniform density of blood (approximately 1.06 g/ml) and a standard gravity value (9.8 m/s^2), we can proceed with the calculation.

density of blood = 1.06 g/ml = 1060 kg/m^3
gravity = 9.8 m/s^2

pressure difference = 0.91m x 1060 kg/m^3 x 9.8 m/s^2

Therefore, the difference in blood pressure between the top of the head and the bottom of the feet of a 1.82m tall person standing vertically is given by the above calculation.