Please show all calculations If water is drained from a vertical cylindrical tan

Question

Please show all calculations

If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. The rate at which the water level drops is: 5. kvy dt where k is a constant depending on the size and shape of the hole. The depth of the water y is measured in meters and the time to drain is t in minutes. If k=0.06, determine how long it takes for the tank to drain is the fluid level is initially 4 m. Solve the problem by applying Euler's equation into a Excel spreadsheet. Use a step of 0.25 minutes.

Explanation / Answer

close all

clear all

clc

%%

%forward euler

y = 3;

t=0;

while (y>0 )

y = y + (-1*.06*sqrt(y))*0.5;

t= t+0.5;

end

display('time in min.')

display(t-0.5);

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