Consider a water storage tank with inlet and outlet streams that can be independently adjusted. The...

Consider a water storage tank with inlet and outlet streams that can be independently adjusted. The storage tank has a cross-sectional area of 100 ft². Initially, the flow in is equal to the flow out, which is 5 ft³/min. The initial height of water in the tank is 4 ft and the height of the tank is 10 ft. At t = 0 a ramp increase in the inlet flowrate is made, so that F_i(t) = 5 + 0.25 t where the flowrate units are ft³/min. How long does it take the tank to overflow? Solve using Laplace transforms. Obtain a general expresson for systems modeled in deviation variable form by:

dy/dt= ku(t)

where u(t) =at

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Expert Solution

Amanda K answered 1 year ago

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