Question

At a given instant, the blood pressure in the heart is . If an artery in the brain is 0.45 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.

Answer 1

11320.63 Pa

Step-by-step explanation:

`P_2` = Pressure the heart is pumping at =
`1.6* 10^4\ Pa` (assumed)

`\rho` = Density of blood = 1060 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

h = Height = 0.45 m

From Bernoulli's equation we have

`P_1=P_2-\rho gh\\\Rightarrow P_1=1.6* 10^4-1060* 9.81* 0.45\\\Rightarrow P_1=11320.63\ Pa`

The pressure in the artery is 11320.63 Pa