Question

Water flows out of an inverted conical tank with circular orifice
Solve using MATLAB. Thank you!!

Water flows out of an inverted conical talk with circular orifice at the rate of 4. vy A(y) where r is the orifice radius, y is the height of the water above the orifice, and Avy) is the area of the cross section of the tank at the water level. Suppose r - .1 ft g =-32.17 ft/s, and the tank has an initial water level of 8 ft and initial volume of 512(t/3) ft. Use ode45 to approximate a solution, and use it to determine when the tank will be empty.

Answer 1

`Hey,

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clc
clear all
r=0.1;
g=-32.17;
f=@(t,y) (-0.7*pi*r^2*sqrt(-2*g)*sqrt(y)/(512*pi/(3*y)));
[T,Y]=ode45(f,[0,100000],8);
plot(T,Y)

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