What is the difference in blood pressure (mm−Hg) between the top of the head and bottom of the feet of a 1.88m tall person standing vertically?
Range = 15,000 Meters?
Range = Vo^2*sin(2A)/g = 15,000 m.
Vo^2*sin(60)/9.8 = 15000
0.08837Vo^2 = 15000
Vo^2 = 169,741
Vo = 412 m/s.
56
To calculate the difference in blood pressure between the top of the head and bottom of the feet of a standing person, we need to consider the change in height and its effect on blood pressure.
Blood pressure is influenced by gravity, with higher values recorded at locations closer to the ground. As you move from the top of the head to the bottom of the feet, blood pressure increases due to the column of blood being supported by gravity.
To compute the difference in blood pressure, we can use the concept of hydrostatic pressure, which is the pressure exerted by a fluid at any particular depth. In this case, the fluid is blood, and the depth is the change in height.
Here's how to calculate it:
1. Determine the change in height: 1.88 meters is the total height of the person. To find the change in height from the top of the head to the bottom of the feet, subtract the height of the head (approximately 0.2 meters) from the height of the feet (1.88 meters). The change in height would be 1.88 - 0.2 = 1.68 meters.
2. Calculate the difference in blood pressure: To determine the difference in blood pressure, multiply the change in height (in meters) by the density of blood (approximately 1,060 kg/m^3) and the acceleration due to gravity (9.8 m/s^2). This will give you the pressure difference in Pascals (Pa). To convert it to millimeters of Mercury (mmHg), divide the value by 133.3.
So, the formula is: Difference in blood pressure (mmHg) = (Change in height × Density of blood × Acceleration due to gravity) / 133.3
Plugging in the values:
Difference in blood pressure (mmHg) = (1.68 × 1060 × 9.8) / 133.3
Calculating this expression gives approximately 122.3 mmHg as the difference in blood pressure between the top of the head and the bottom of the feet for a 1.88m tall person standing vertically.