The aorta is approximately 25 mm in diameter. The mean pressure there is about 100 mmHg, and the blood flows through the aorta at approximately 60 cm/s. Suppose that at a certain point a portion of the aorta is blocked so that the cross‑sectional area is reduced to 1/5 of its original area. The density of blood is 1060 kg/m3. a) How fast v is the blood moving just as it enters the blocked portion of the aorta? (b) What is the gauge pressure p (in mmHg) of the blood just as it enters the blocked portion of the aorta?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
The aorta is approximately 25 mm in diameter. The mean pressure there is about 100 mmHg, and the blood flows through the aorta at approximately 60 cm/s. Suppose that at a certain point a portion of the aorta is blocked so that the cross‑sectional area is reduced to 1/5 of its original area. The density of blood is 1060 kg/m3.
a) How fast v is the blood moving just as it enters the blocked portion of the aorta?
(b) What is the gauge pressure p (in mmHg) of the blood just as it enters the blocked portion of the aorta?
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