Consider the water tank from Lecture 5. The model of the change of water level in...

 

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Consider the water tank from Lecture 5. The model of the change of water level in the tank can be written as: dV dt = d(Ax) dt = A dx = qi - 9o, (4) where is the level of water in the tank, A is the area of the cross-section of the tank (assumed constant) and q; and qo are the volumetric flows into and out of the tank respectively. qi is assumed to be the input to the system and the output. Moreover, suppose that the outflow is given by the following relation: 9⁰ = k√x. Find all equilibria and linearise the system around the equilibrium where x assume that A = 1 [m²] and k = 2 [m5/2/s]. = dt 1 [m]; Consider the water tank from Lecture 5. The model of the change of water level in the tank can be written as: dV dt = d(Ax) dt = A dx = qi - 9o, (4) where is the level of water in the tank, A is the area of the cross-section of the tank (assumed constant) and q; and qo are the volumetric flows into and out of the tank respectively. qi is assumed to be the input to the system and the output. Moreover, suppose that the outflow is given by the following relation: 9⁰ = k√x. Find all equilibria and linearise the system around the equilibrium where x assume that A = 1 [m²] and k = 2 [m5/2/s]. = dt 1 [m];

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Que change of watter level in the tank given by E1 av d An Adn 990 di To Cohere 48 90 Volumotric fl... View the full answer