Consider a fully filled tank of semi-circular cross section tank with radius R and width of b into the page, as shown in Fig. P5-11. If the water is pumped out of the tank at flow rate of V̇ = Kh², where K is a positive constant and h is the water depth at time t. Determine the time needed to drop the water level to a specified h value of h_o in terms of R, K, and h_o.

FIGURE P5–11

Transcribed Image Text:

h Water R