The figure given below is a storage tank that contains a liquid at depth y, where y = 0 when thetank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contentsare replenished at a sinusoidal rate 3Q sin?(t). Suppose that the outflow is not constant but ratherdepends on the depth. The differential equation for depth can be written asdya(1+ y)125= 3 sin?(t)dtAAyUse Euler's method to solve for the depth y from t= 0 to 10 d with a step size of 2 d. The parametervalues are A = 1250 m², Q = 425 m³/d, and a = 175. Assume that the initial condition is y(0) = 0.(Round the final answers to five decimal places.)

dydt=3QAsin2t-α1+y1.25Adydt=34251250sin2t-1751+y1.251250dydt=1.02sin2t-0.14(1+y)1.25

Answered: The figure given below is a storage…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A storage tank contains a liquid at depth y where y=0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meets demands. The Contents are resupplied at a sinusoidal rate 30sin (t). Equation can be written as: d(Ay) = 3Q sin?(1) – Q (1)p (change in` (inflow) – (outflow) volume since the surface area A is constant sin²ce) – O A dy d(t) Use Euler's method to solve for the depth y from t = 0 to 10 d with a step size of 0.5 d. The parameter values are A = 1200 m? and Q = 500 m/d. Assume that the initial condition is y = 0.
6. Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in figure. Determine the pressure difference ?????? ?????−???? ?????= ?(kPa) between the two pipelines. Take the density of seawater at that location to be P = 1035 kg/m³. (2 decimal)
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For the flow shown in the figure below, the stream function is = {4ri sin( 0)} where r is in meters. If the pressure at the origin O is 20 kPa (gauge), determine the pressure at R = 2m, 0 = 45°. Take density p = 950 kg / m3 'B 450 O 41.45 kPa O 16.81 kPa O 21.45 kPa O 1.53 kPa O -1.45 kPa O -1.53 kPa
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Current Attempt in Progress Determine the elevation difference, Ah, between the water levels in the two open tanks shown in the figure below. Assume SG = 0.83. Ah = m 1 m SG Water 0.4 m Ah
Q2) Example: find the specific gravity of the given unknown fluid, the hydrometry weight is 0.015 N. A = 0.1 cm² z= 6.3 cm LV = 1.0 cm³
Water at flows in the system shown. The density of the water is 1.94 slugs/ft', and the viscosity is 2.359x10 slugs/ft-s. Determine the following. a. Q ignoring minor losses b. Q accounting for minor losses Kt 0.5 10 ft IK,- 10 D= 3 ft L= 1000 ft eps = 0.00164 ft Q = ? Ka= 1.0
A fluid flows downward with the rate of Q=0.015 m/s in a smooth vertical pipe with the length of l. (a) Find the diameter of the pipe if the pressure drop (pi – p2) is zero. (Hint: Use Moody Chart with the initial guess of f=0.02. Two iterations are enough) (b) If the pipe outflow hits a fixed vane as shown in the figure, what would be the horizontal and vertical forces (Fx, Fy) on the vane? (p = 1000 kg/m3; u = 0.001 kg/m. s; a = 30 deg)
The pressure in the outlet pipe from the reservoir is 61.3 kPa abs and h =15 m. Because of the rounded entrance to the pipe, the flow is assumed to be irrotational. Under these conditions, what is the velocity at A (Figure below)? Water h V A O VA = 17.16 m/s VA = 13.1 m/s O VA = 19.35 m/s All other answers are wrong

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