Question

(17%) Problem 4: The water of a 14° x 48' metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.2 m below the water level. The capacity of the pool is V= 3890 gallons, the pool can be drained in 144 mins, Po is the pressure of the atmosphere. ρ is the density of the water 14% Part (a) Write the Bernoulli's equation of the water at the top of the pool in terms ofPap, n Assuming the opening is the origin. -Po+pgh Correct! 14% Part (b) Write the Bernoulli's equation of the water at the opening of the pool in terms of Po-p, h and v, where v s the speed at which the water leaves the opening. Assuming the opening is the origin. Pot(p v2)y2 /Correct! 14% Part (c) Express v2 in terms of g and h. v-2gh Correct! 14% Part (d) Calculate the numerical value of v in meters per second 4.8 Correct! 14% Part (e) Express the flow rate of the water in terms of V and t X Attempts Remain -α 14% Part (f) Express the cross-sectional area of the opening, A, in terms of V, v and t A-Vvt) Correct! 14% Part (g) Calculate the numerical value ofd in cm2 Grade Summa A 2130 Deductions 9%

Answer 1

Flow rate is the amount of volume drained out per unit time.

Pat AAxcn of open n 0- velocity of Plou のしJ time Tot(g):- Volerne V-3890 Galon= 3890x4·Sylk A 4-25 xios