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College Physics

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

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BuyFindarrow_forward

College Physics

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

When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in an artery has been reduced to 10.0% of its normal value by a blood clot and the average pressure difference has increased by 20.0%, by what factor has the clot reduced the radius of the artery?

To determine

The factor by which the clot has reduced the radius of the artery.

Explanation

Given:

Initial radius =r1               

Final radius =r2               

Viscosity =η

Length of artery =L              

Initial volume flow rate =V1

Final volume flow rate =V2

  V2V1=0.10

Initial Pressure difference =ΔP1

Final Pressure difference =ΔP2

  ΔP2ΔP1=1.20

Formula Used:

Volume flow rate is given as

  V= (P2P1) πr48ηL

Hence for comparison, we can write

  V

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