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A small artery has a length of 1.1×10?3 m and a radius of

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 33PE Chapter 12

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 33PE

A small artery has a length of 1.1×10−3 m and a radius of 2.5×10−5 m. If the pressure drop across the artery is 1.3 kPa, what is the flow rate through the artery? (Assume that the temperature is 37º C .)

Step-by-Step Solution:

Solution 33PE

Step 1 of 3</p>

We need to determine the flow rate through the artery, which is of small length and a radius . When the pressure drop across the small artery is .

Given data,

Length Radius Pressure drop,

Using                                 

Using                                 

Fluid viscosity,

To find

Rate of flow,

Step 2 of 3</p>

We can calculate the rate of flow of fluid through the artery using Poiseuille’s law. The Poiseuille’s equation for the fluid flow is given by,

                                                

Using pressure drop as

Where is the Fluid viscosity,  and  are length and radius of artery respectively, is change in pressure.

Step 3 of 3

Chapter 12, Problem 33PE is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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