Chapter 8.4, Problem 63E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Fluid ForceFind the fluid force on a circular observation window of radius 1 foot in a vertical wall of a large water-filled tank at a fish hatchery when the center of the window is (a )3 feet and (b ) d feet (d >1) below the water`s surface (see figure) Use trigonometric substitution to evaluate the one integral. Water weights 62.4 pounds per cubic foot. (Recall that in Section 7.7 in a similar problem, you evaluated one integral by a geometric formula and the other by observing that the integrand was odd)

To determine

To calculate: The fluid force on the circular observation window in a vertical wall of a large water-filled tank at a fish hatchery window.

Explanation

Given: A circular observation window of radius 1 foot in a vertical wall of a large water-filled tank at a fish hatchery window,

Refer to the question for figure.

Calculation:

F=124.8âˆ«âˆ’11(dâˆ’y)1âˆ’y2.dy=124

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