In the liquid-level system shown in the figure, the heat is kept at 1 m for t less than 0. The inflow valve opening is changed at t=0, and the inflow rate is 0.05 m^3/s for t greater than 0. Determine the time needed to fill the tank to a 2.5-m level. Assume that the outflow rate Q m^3/s and heat H are related by Q=0.02H^1/2. The capacitance of the tank is 2 m^2.

In the liquid-level system shown in the figure, the heat is kept at 1 m for t less than 0. The inflow valve opening is changed at t=0, and the inflow rate is 0.05 m^3/s for t greater than 0. Determine the time needed to fill the tank to a 2.5-m level. Assume that the outflow rate Q m^3/s and heat H are related by Q=0.02H^1/2. The capacitance of the tank is 2 m^2.

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In the liquid-level system shown in the figure, the heat is kept at 1 m for t less than 0. The inflow valve opening is changed at t=0, and the inflow rate is 0.05 m^3/s for t greater than 0. Determine the time needed to fill the tank to a 2.5-m level. Assume that the outflow rate Q m^3/s and heat H are related by Q=0.02H^1/2. The capacitance of the tank is 2 m^2.

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