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 man attaches a divider to an outdoor faucet so that water flows through a single pipe of radius 9.00 mill into two pipes, each with a radius of 6.00 mm. If water flows through the single pipe at 1.25 m/s, calculate the speed of the water in the narrower pipes.

To determine
The speed of water in the narrow pipe.

Explanation
The equation of continuity is used for the speed of water in the narrow pipe as shown here A1v1=A2v2â†’(Ï€R12)v1=(Ï€R22)v2 . Now the speed of water in the narrow pipe is v2=(R12/2R22)v1 .

Given info: Single pipe radius is 9.00â€‰mm , radius of each pipe in two pipes branch is 6.00â€‰mm , and the water flow speed in single pipe is 1.25â€‰m/s .

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

v2=R122R22v1

R1 is radius of single pipe

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