Use the result of Exercise 23 to find the fluid force on the circular plate shown in each figure. Assume the plates are in the wall of a tank filled with water and the measurements are given in feet.

Data from in Exercise 23

A circular plate of radius r feet is submerged vertically in a tank of fluid that weighs w pounds per cubic foot. The center of the circle is k feet below the surface of the fluid, where k > r. Show that the fluid force on the surface of the plate is

(Evaluate one integral by a geometric formula and the other by observing that the integrand is an odd function.)

Transcribed Image Text:

F = wk (Tr²).