Chapter 12, Problem 44PE

### College Physics

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

Chapter
Section

### 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 =r1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Final radius =r2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Viscosity =Î·

Length of artery =LÂ Â Â Â Â Â Â Â Â Â Â Â Â Â

Initial volume flow rate =V1

Final volume flow rate =V2

â€ƒâ€ƒV2V1=0.10

Initial Pressure difference =Î”P1

Final Pressure difference =Î”P2

â€ƒâ€ƒÎ”P2Î”P1=1.20

Formula Used:

Volume flow rate is given as

â€ƒâ€ƒV=Â (P2âˆ’P1)Â Ï€r48Î·L

Hence for comparison, we can write

â€ƒâ€ƒV

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