If the density of a fluid varies with depth, then the pressure at depth y is p(y) (which

Chapter 8, Problem 28

(choose chapter or problem)

If the density of a fluid varies with depth, then the pressure at depth y is p(y) (which need not equal wy as in the case of constant density). Use Riemann sums to argue that the total force F on the flat side of a submerged object submerged vertically is F = b a f (y)p(y) dy, where f (y) is the width of the side at depth y.

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