A man attaches a divider to an outdoor faucet so that water flows through a single pipe of radius 8.85 mm into four pipes, each with a radius of 5.60 mm. If water flows through the single pipe at 1.65 m/s, calculate the speed (in m/s) of the water in the narrower pipes.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A man attaches a divider to an outdoor faucet so that water flows through a single pipe of radius 8.85 mm into four pipes, each with a radius of 5.60 mm. If water flows through the single pipe at 1.65 m/s, calculate the speed (in m/s) of the water in the narrower pipes.
HINT
 m/s
Expert Solution
Step 1

The equation for continuity is

A1v1=A2v2

Rewrite the equation,

v2=A1A2v1   (1)

The area of the single pipe is

A1=πr12

The area of the narrow pipe is

A2=πr22

 

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