A box of height 6 m and square base of side 3 m is submerged in a

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A box of height 6 m and square base of side 3 m is submerged in a pool of water. The top of the box is 2 m below the surface of the water.

(a) Calculate the fluid force on the top and bottom of the box.

(b) Write a Riemann Sum that approximates the fluid force on a side of the box by dividing the side into N horizontal strips of thickness Δy = 6/N.

(c) To which integral does the Riemann Sum converge?

(d) Compute the fluid force on a side of the box.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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