Engineering, 14.12.2019 06:31, Student2499

The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. the opening is about h = 1.03 m below the water level. the capacity of the pool is v = 3780 gallons, the pool can be drained in t = 13.5 mins. p0 is the pressure of the atmosphere. rho is the density of the water.

(a) write the bernoulli's equation of the water at the top of the pool in terms of p_0, rho, h. assuming the opening is the origin 0% deduction per feedback.
(b) write the bernoulli's equation of the water at the opening of the pool in terms of p_0, rho, h and v, where v is the speed at which the water leaves the opening. assuming the opening is the origin.
(c) express v^2 in terms of g and h.
(d) calculate the numerical value of v in meters per second.
(e) express the flow rate of the water in terms of v and t.
(f) express the cross-sectional area of the opening, a, in terms of v, v and t.
(g) calculate the numerical value of a in cm^2

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The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of...