Let F be the fluid force on a side of a semicircular plate of radius r meters,

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Let F be the fluid force on a side of a semicircular plate of radius r meters, submerged vertically in water so that its diameter is level with the water’s surface (Figure 9).

y 2 - y2 r X

(a) Show that the width of the plate at depth y is 2 r− y2.
(b) Calculate F as a function of r using Eq. (2).

F = pg 8 yf (y)dy

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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