Question

It has been observed that if the amount of water in a dam is 50000 m³ or more, the annual leakage rate is 12%, and when the amount of water in the dam falls below 50000 m³, this value drops to 8%. Write a MATLAB program that finds the amount of leakage and the amount of water in the dam over a 20-year period if there is 100000 m³ of water in the dam at the beginning. Sample program output is given below.

Year: 1 Leakage Amount: 12000.00 m^3 Reserve: 88000.00 m^2
Year: 2 Leakage Amount: 10560.00 m^3 Reserve: 77440.00 m^3
____ _______ __________ ___ ______ ______
____ _______ __________

Answer 1

You can use MATLAB to simulate the leakage rate of a dam over a 20-year period. The given code calculates the yearly leakage using the dam's initial volume, adjusts the leakage rate depending on whether the volume falls under 50000 m³, and prints the results.

Step-by-step explanation:

You'll have to write a MATLAB program that simulates the leakage of a dam over a 20-year period. This algorithm will take into consideration whether the amount of water in the dam, initially 100000 m³, falls under 50000 m³. If the dam's water volume stays above 50000 m³, the simulation will use a 12% leakage rate, but below 50000 m³, it will apply an 8% leakage rate.

Here's a sample program:

initialWaterVolume = 100000; % initial volume of water
for year=1:20
if initialWaterVolume >= 50000
lessWater = initialWaterVolume * 0.12; % calculate leakage if water is 50000 m³ or more
else
lessWater = initialWaterVolume * 0.08; % calculate leakage if water is less than 50000 m³
end
initialWaterVolume = initialWaterVolume - lessWater;
fprintf('Year: %d Leakage Amount: %.2f m^3 Reserve: %.2f m^3
', year, lessWater, initialWaterVolume);
end

This code will run a loop from year 1 to year 20. Depending on the amount of water in the dam, it calculates the amount of leakage and subtracts it from the total volume. The new volume is then printed out.Please note that this code does not take into account factors such as the addition of water to the dam due to rainfall or any other factors that might affect the dam's water volume.

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