Chapter 12, Problem 32PE

### 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

# The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?

(a)

To determine

The net force on the blood.

Explanation

Given:

Radius of artery =r=10Â mmÂ =Â 10Ã—10âˆ’3Â mÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (SinceÂ 1mmÂ =Â 10âˆ’3Â m)

Area of cross-section =A

Net force on the blood =F=?

Pressure drop =Î”P=100Â Pa

Formula Used:

Area of cross-section is given as

â€ƒâ€ƒA=Ï€r2

Net force is given as

â€ƒâ€ƒF=Â Î”PÂ A

Calculation:

Area of cross-section is given as

â€ƒâ€ƒA=Ï€r2

Inserting the values

â€ƒâ€ƒA=(3

(b)

To determine

The power expended in maintaining the speed.

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