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Task 4: [25 marks] Consider a water tank as shown in Figure A. The water enters the tank at a constant rate of qin=0.02 m/min

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Task 4: [25 marks] Consider a water tank as shown in Figure A. The water enters the tank at a constant rate of qin=0.02 m/min and comes out with the output volumetric flow rate q. The cylinder has an outer radius r1 = 0.08 m and inner radius r2 = 0.01 m 9 Figure A. Scheme of the water tank model Write a MATLAB program to illustrate the instantaneous level of water in the tank. Assume that the output flow rate q is a linear function of the water level h and the constant of the valve K as, q=Kh, K=0.0015 Hint: You may use the following equations d Pin = 9+ dt V = thrz? -12) By using the above equations, you can obtain a first order differential equation for the level, h. Then, you need to use appropriate MATAB command to solve that differential equation. = Coding: Giving comments and brief information about codes [5 marks] Results [20 Marks]

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