Question: A tank used to dampen liquid flow rate surges is known to exhibit second-order dynamics. The input flow rate changes suddenly from 120 to 140gal/min.

A tank used to dampen liquid flow rate surges is known to exhibit second-order dynamics. The input flow rate changes suddenly from 120 to 140gal/min. An operator notes that the tank level changes as follows:
Before input change: level = 6 ft and steady
Four minutes later: level = 11ft
Forty minutes later: level 10ft and steady
(a) Find a transfer function model that describes this process, at least approximately. Evaluate all parameters in your model, including units.
(b) Is your model unique? Why or why not?

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