Chapter 9, Problem 32P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A horizontal pipe narrows from a radius of 0.250 m to 0.100 m. If the speed of the water in the pipe is 1.00 m/s in the larger radius pipe, what is the speed in the smaller pipe?

To determine
The speed of water in the smaller pipe.

Explanation

Given info: The horizontal pipe narrows from a radius of 0.250â€‰m to radius of 0.100â€‰m and the speed of the water in the larger radius side is 1.00â€‰m/s .

Explanation: The continuity equation is used for the speed of the water in smaller pipe as A1v1=A2v2â‡’v2=A1v1/A2=[(Ï€r12)v1]/Ï€r22 .

The formula for the speed of water in the smaller pipe is,

v2=(r1r2)2v1

• r1 is radius of larger pipe

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