Question

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Class Management I Help Ch. 9 Homework, pt. 4 and Ch. 10 Homework, pt. 1 Begin Date: 4/18/2018 2:00:00 PM-Due Date: 4/20/2018 6:00:00 PM End Date: 4/23/20 11:59:00 AM (33%) Problem 1: 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-1.18 m below the water level. The capacity of the pool is V-3840 gallons, the pool can be drained in t- 15 mins. Po is the pressure of the atmosphere. o is the density of the water. st 14% Part (a) write the Bernoulli's equation of the water at the top of the pool in terms of Poe, h. Assuming the opening is the origin. sg 14% Part (b) Write the Bernoulli's equation of the water at the opening of the pool in terms of Poe h and v, where v is the speed at which the water leaves the opening. Assuming the opening is the origin. 14% Part (c) Express v2 in terms of g and h. 14% Part (d) Calculate the numerical value of v in meters per second. ROR 14% Part (e) Express the flow rate of the water in terms of V and t. 围笄 g, Δ.internsory, vandt. #14 % Part Calculate the numerical value of A in cm2 Grade Summary A32.3 Potential 96% Submissions Attempts remaining: S (4%per attempt) detailed view sin0 cos0 tan0789 cotan asin acos0 atan0 acotan0 sinho cosh0 tanhO cotanh0 o Degrees O Radians , END BACKSPACUCLEAR Submit Hint I give up

Answer 1

(a) at top: p_0 + rho gh (b) at opening: p_0 + 0 + rho v^2 /2 = p_0 + rho v^2 /2 (c) p_0 + rho gh = p_0 + rho v^2 /2 implies v = squareroot 2gh (d) v = squareroot 2 times 9.8 times 1.18 = 4.81 m/s (e) Q = v/t (f) Q = Av implies Av = v/t implies A = v/vt (g) A = (3840 times 0.003785 m^3)/(4.81 m/s)(15 times 60 s) = 3.36 times 10^-3 m^2 A = 33.6 m^2