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Find the fluid force (in lb) 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 8 feet and d feet (d> 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 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.) (a) 8 feet (b) d feet below. X X lb lb x² + y² = 1 Q

Find the fluid force (in lb) 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 8 feet and d feet (d> 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 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.) (a) 8 feet (b) d feet below. X X lb lb x² + y² = 1 Q

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the fluid force (in lb) 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 8 feet and d feet (d > 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 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.) (a) 8 feet (b) d feet below X lb lb x² + y² = 1 -2 2 X
Transcribed Image Text:Find the fluid force (in lb) 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 8 feet and d feet (d > 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 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.) (a) 8 feet (b) d feet below X lb lb x² + y² = 1 -2 2 X
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