A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 9800 *S* (y³-7y² + 12y) dy 0 4 98007 (1³-9y² + 20y) dy 0 9800л S²(y²³-11y²+28y) dy 9800r ²(-y5+15y4-72y³ + 112y²2) dy

A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 9800 S (y³-7y² + 12y) dy 0 4 98007 (1³-9y² + 20y) dy 0 9800л S²(y²³-11y²+28y) dy 9800r ²(-y5+15y4-72y³ + 112y²2) dy

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 32PQ

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A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 9800л [*(x-³-9y² + 20y) dy 9800 S* (v²³-7y² +12y) dy -S²(y-³-11y²+28y) dy 9800л 0 9800z²(-y³ + 15y4-72y³ + 112y²2) dy 0
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