Problem 1

Mathlab

The figure given below is a storage tank that 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 Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Q sin-(t). The equation "Change = increases decreases" can be written for this system as d(Ay) = 3Q sind(t)-Q dt (Change in volume) = (inflow) - (outflow) or, since the surface area A is constant dy dt Q = 3-sin-(t) A a 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 = 1250 m? and Q = 450 m3/d. Assume that the initial condition is y= 0. (Round the final answers to five decimal places). I suggest you to perform the calculation in spreadsheet software (e.g. Microsoft excel or google spreadsheet). Fill your answers in the table below. Include proof of calculation in your submission (e.g. spreadsheet file). Label the proof of calculation file as lastname_probleml Depth, y (m) t(d) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10