Question

JUULUU UL. LUI IU REM (9%) Problem 6: 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 1.08 m below the water level. The capacity of the pool is V=3780 gallons, the pool can be drained in 15 mins. Po is the pressure of the atmosphere 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 of Po... Assuming the opening is the origin. Grade Summary Deductions Potential 100% Submissions Attempts maining pe) live up! Hints dediction per hint Hints remaining: Feedback deduction feedback 14% Part (b) Write the Bernoulli's equation of the water at the opening of the pool in terms of Pooh and y, where v is the speed at which the water leaves the opening. Assuming the opening is the origin 145 Part (c) Express in terms of g and h. 145 Part (d) Calculate the numerical value of vin meters per second 145 Part(e) Express the flow rate of the water in terms of V and 1. 145 Part Express the cross-sectional area of the opening. A, in terms of V.vandt 145 Part (1) Calculate the numerical value of A in cm?

a-g

Answer 1

A)

Bernoulli's theorem,

P_o + ρ g h₁ = constant

B)

Po + 0.5 ρ v₂² = constant

C)

Equating above equations,

v2^2 = 2 g h1

Velocity, v^2 = 2gh

D)

V2 = sqrt(2 x 9.8 x 1.08) = 4.60 m/s

E)

Flow rate, Q = V/t

F)

Area, A = V/(v₂ t)

G)

A = (3780 x 0.0037854)/(4.6 x 15 x 60) = 34.56 cm^2

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