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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) Suppose a blood vessel's radius is decreased to 90.0% of its original value by plaque deposits and the body compensates by increasing the pressure difference along the vessel to keep the flow rate constant. By what factor must the pressure difference increase? (b) If turbulence is created by the obstruction, what additional effect would it have on the flow rate?

(a)

To determine

The factor by which the pressure difference will increase.

Explanation

Given:

Initial radius =r1        

Final radius =r2        

Initial pressure difference =ΔP1

Final pressure difference =ΔP2

  r2r1=0.90

Formula Used:

Pressure difference is inversely proportional to fourth power of radius

  ΔP1r4 hence , we can write ΔP1ΔP2=r24r14

(b)

To determine

The effect on flow rate, if turbulence is created by obstruction.

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