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When you hold your hands at your sides, you may have noticed that the veins sometimes bulge--the height difference between your heart and your hands produces increased pressure in the veins. The same thing happens in the arteries. If the average arterial pressure at your heart is a typical 100 mmHg, what is the average arterial pressure in your hands when they are held at your side? Assume your hands are 60 cm below your heart.

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To solve this problem it is necessary to use the concepts related to pressure and pressure, absolute and atmospheric.

Average arterial pressure in the hands,

[tex]P = 100mmHg+ h*\rho_{blood}g[/tex]

Where,

P = Pressure

h = height (at this case the length of the arm)

Replacing with our values

[tex]P = 100mm(Hg)+(600mm)(\frac{\rho_{blood}}{\rho_{mercury}})(Hg)[/tex]

[tex]P = 100mmHg+600*\frac{1060}{13600}mmHg[/tex]

[tex]P = 100mmHg+46.765mmHg[/tex]

[tex]P = 146.765mmHg[/tex]

Where,

[tex]\rho_{blood} = 1060Kg/m^3[/tex]

[tex]\rho_{mercury}=13600Kg/m^3[/tex]

Therefore the pressure is 146.765mmHg

The average arterial pressure in the hands when they are held at the side of the body is 146.765 Hg.

What is average arterial pressure?

Average arterial pressure is the pressure of heart beat. The average arterial pressure can be calculate using the below formula,

[tex]p=100+h\dfrac{\rho_{blood}}{\rho_{marcuary}}[/tex]

Here, (h) is the height.

As, the height of the arm is 60 cm below the heart. Thus using the above formula we can find the value of average arterial pressure in the hands as,

[tex]p=100+600\dfrac{1060}{13600}p=146.765\rm Hg[/tex]

Thus, average arterial pressure in the hands when they are held at the side of the body is 146.765 Hg.

Learn more about average arterial pressure here;

https://brainly.com/question/14661197

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