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· BIO An Occlusion in an Artery Suppose an occlusion in an

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker ISBN: 9780321541635 54

Solution for problem 72P Chapter 15

Physics with MasteringPhysics | 4th Edition

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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

Physics with MasteringPhysics | 4th Edition

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Problem 72P

Problem 72P

· BIO An Occlusion in an Artery Suppose an occlusion in an artery reduces its diameter by 15%, but the volume flow rate of blood in the artery remains the same. By what factor has th pressure drop across the length of this artery increased?

Step-by-Step Solution:

Solution 72P

Step 1 of 1

We have to find by what factor does the pressure drop across the length of the artery increases if an occlusion reduces its diameter by 15 %.


The pressure drop across the length of the artery can be found using Poiseuille's equation.

where,

volume flow rate

= pressure drop across the length of the artery

= radius of the artery

viscosity of blood

length of the artery

Now, let and be the volume rate before and after the reduction in diameter by 15% of the artery respectively.

    =

 

     =

So, = and  

But

Hence, =

Solving for

= (

Substituting for

Thus,

= (

               = 1.94

Therefore, the pressure drop across the length of the artery increases by a factor of 1.94.

Step 2 of 1

Chapter 15, Problem 72P is Solved
Textbook: Physics with MasteringPhysics
Edition: 4
Author: James S. Walker
ISBN: 9780321541635

The answer to “· BIO An Occlusion in an Artery Suppose an occlusion in an artery reduces its diameter by 15%, but the volume flow rate of blood in the artery remains the same. By what factor has th pressure drop across the length of this artery increased?” is broken down into a number of easy to follow steps, and 45 words. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4. Since the solution to 72P from 15 chapter was answered, more than 614 students have viewed the full step-by-step answer. Physics with MasteringPhysics was written by and is associated to the ISBN: 9780321541635. This full solution covers the following key subjects: artery, Occlusion, its, Blood, diameter. This expansive textbook survival guide covers 32 chapters, and 3833 solutions. The full step-by-step solution to problem: 72P from chapter: 15 was answered by , our top Physics solution expert on 07/27/17, 10:59AM.

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