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).