# (I) A gardener feels it is taking too long to water a

## Problem 51P Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 51P

(I) A gardener feels it is taking too long to water a garden with a  in diameter hose. By

what factor will the time be cut using a  in - diameter hose instead? Assume nothing else is changed cut using

Step-by-Step Solution:

Solution 51P:

We have to find by what factor would the time be reduce when it diameter of the hose is changed, keeping all other condition same.

Step 1 of 2</p>

Concept:

We assume that the streamlined flow of the water is not affected, by the change in diameter of the hose.As the same volume of water is used, therefore as we know that the time is inversely proportional to the rate of flow.

Also, from Poiseuille’s equation, we know that the rate of flow is proportional to the fourth power of the radius of the house.

Thus,the time is inversely proportional to the fourth power of the radius of the house.

Step 2 of 2

##### ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. This full solution covers the following key subjects: diameter, hose, Gardener, assume, else. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. The full step-by-step solution to problem: 51P from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “(I) A gardener feels it is taking too long to water a garden with a in diameter hose. Bywhat factor will the time be cut using a in - diameter hose instead? Assume nothing else is changed cut using” is broken down into a number of easy to follow steps, and 39 words. Since the solution to 51P from 10 chapter was answered, more than 255 students have viewed the full step-by-step answer.

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