Chapter 5.4, Problem 28E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Solve Exercise 24 if the tank is half full of oil that has a density of

To determine

**To find:**

The work required to pump the water out of the spout.

Explanation

**1) Concept:**

The work is calculated by using the formula

And

**2) Given:**

**3) Calculation:**

Let the circular disk slice of water have thickness

It is lying at the coordinate

The given tank is half full of oil, therefore, the lower limit changes from

Volume of the slice of oilÂ

Therefore, the weight of the slice is

This weight is lifted by the pump about

Therefore, the work needed to pump the water out of the spout is

Therefore, the total work reqiured is

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