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Deriving a formula to find the time constant of a liquid level system.

Develop a formula for finding the time constant of the liquid level system shown in the below figure. When the average operating level is h0. The resistance R is linear. The tank has three vertical walls and one which slopes at an angle α from the vertical as shown, the distance separating the parallel walls is 1.

1198_the time constant of a liquid level system.jpg

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