Question

. For the liquid level system shown in Figure 1 water passes through the tank at a steady flow rate of ??? = ??. ?? ???? /??, with a steady-state head ??? of 4 ??. The tank capacitance ?? = ??. ?? ???? , and the average resistance of the outflow valve ?? is ?????? ??/???? . Complete the following: a) Form the mathematical expression describing the system in terms of head ?? and inflow rate ???? . [Hint: Recall ?? ???? ???? = ???? ? ????, and notice for this example ?? = ??/????]. b) Determine the transfer function ??(??) ???? (??) c) At time ?? = ?? ??, the inlet valve is closed, i.e. ???? = ???. ?? ???? /??. Find the liquid-level ??? + ?? at 10 ??ec.

https://drive.google.com/file/d/1g3mk_JfnzHtbqDyIjMmRuvRrRy6O0xHW/view?usp=sharing (FIGURE)

Answer 1