Question

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

Answer 1

Answer:

$P_2 - P_1 = 1.8 * 10^4\ Pa$

Explanation:

Given

$Height (h) = 1.70m$

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:

$P_2 = P_1 + pgd$

Subtract P1 from both sides

$P_2 - P_1 = pgd$

Where

$p = blood\ density = 1.06 * 10^3kg/m^3$

$g = acceleration\ of\ gravity = 9.8N/kg$

$d =height = 1.70m$

P2 - P1 = Blood Pressure Difference

So, the expression becomes:

$P_2 - P_1 = 1.06 * 10^3 * 9.8 * 1.70$

$P_2 - P_1 = 17659.6Pa$

$P_2 - P_1 = 1.8 * 10^4\ Pa$

Hence, the difference in blood pressure is approximately $1.8 * 10^4\ Pa$