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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

Describe how we can find the hydrostatic force against a vertical wall submersed in a fluid.

To determine

To find: The hydrostatic force against a vertical wall submersed in a fluid

Explanation

The expression of the hydrostatic force is F=limni=1nδxif(xi)Δx

Find the hydrostatic force against vertical wall using the procedure as follows:

  • Divide the vertical wall into n number of small horizontal strips with equal height Δx .
  • Consider the horizontal strip as a approximate rectangle with length f(xi) and depth xi .

The hydrostatic force is the summation of the product of the weight density of fluid and the volume of the small strips

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