An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its minor axis is 3 feet below the surface of the water (weight density=p lb/ft³). Determine the appropriate integral to be used to determine the force on one side of the submerged portion.

An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its minor axis is 3 feet below the surface of the water (weight density=p lb/ft³). Determine the appropriate integral to be used to determine the force on one side of the submerged portion.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...

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Question

An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its minor axis is 3 feet below the surface of
the water (weight density=p lb/ft³). Determine the appropriate integral to be used to determine the force on one side of the
submerged portion.
0
F=3p
of (3-3)
(3-y)√4-y²dy
-2
F=
[(y-3) √9-y²dy
0
3
4p
F=
(3-y)√9-y²dy
3
-3
5² (3-y)√√4-y²dy
4p
F=3p

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