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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)

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)

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 88P: (a) Using Bernoulli's equation, show that be measured fluid speed v for a pitot tube, like the one...
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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.
Transcribed Image Text: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.
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