Sketch the level response for a bathtub with

Chapter 2, Problem 2.18

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Sketch the level response for a bathtub with crosssectional area of 8 ft2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to 2 ft3/min. (a) The drain is suddenly closed, and the inflow remains constant for 3 min (0.:::;, t.:::;, 3). (b) The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3.:::;, t.:::;, 18).

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