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Use Euler's method to solve for the depth y

Use Euler's method to solve for the depth y

Structural Analysis
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 Liquid is withdrawn at a constant flow rate Q to meets demands.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.
Transcribed Image Text: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 Liquid is withdrawn at a constant flow rate Q to meets demands.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.
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