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Question

At a given instant, the blood pressure in the heart is 1.90 104 Pa. If an artery in the brain is 0.50 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.

1060 which formula would i use since its in pascals?

Answer 1

You can work in Pascals if you want. All you have to do is find the pascals equivalent to a 0.5 m head of blood. With water, 10 m is appx 1 atm, which is 1.01x10^5 Pa. With blood, the height is divided by the 1.06 density. So 0.5 meters of blood is appx 0.5 * 1.01x10^5 Pa /9.6, where the 9.6 is 10/1.06 (appx). This comes out to about 5.3x10^3 Pa, the pressure equivalent to 0.5 m of blood. So the pressure in the artery is 1.90x10^4- 0.53x10^4 or about 1.38x10^4 Pa.