Compute the decrease in the blood pressure of the blood flowing through an artery the radius of which is constricted by a factor of 3. Assume that the average flow velocity in the unconstricted region is 50 cm/sec.
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- A medical technician is trying to determine what percentage of a patient's artery is blocked by plaque. To do this, she measures the blood pressure just before the region of blockage and finds that it is P₁, while in the region of blockage it is P2. Furthermore, she knows that blood flowing through the normal artery just before the point of blockage is traveling at v₁, and the density of this patient's blood is p. The patient is laying down so there are no differential effects due to gravity. a. Symbolically, what is the ratio of the artery radius at the blockage, r2, to the ratio of the artery radius at the blockage, r₁? (find r₂/r₁) b. Find the numerical value of r2/r1. P₁ = 1.20x104 Pa, P₂=1.15×104 Pa, v₁ =30.0 cm/s, p = 1060 kg/m³.Suppose blood is pumped from the heart at a rate of 5.1 L/min into the aorta of radius 1.3 cm a. Determine the speed of blood through the aorta, in centimeters per second.alculate the mass flow rate (in grams per second) of blood (?=1.0ρ=1.0 g/cm33) in an aorta with a cross-sectional area of 2.0 cm22 if the flow speed is 31.6 cm/s. Assume that the aorta branches from a large number of capillaries with a combined cross-sectional area of 3.0×1033.0×103 cm22. What is the flow speed in the capillaries?