A tank used to dampen liquid flow rate surges is known to exhibit second-order dynamics. The
input flow rate changes suddenly from 180 to 220ga(l)/(m)in. An operator notes that the tank level
changes as follows:
Before input change: Level =9ft and is steady
Four minutes later: Level =15.5ft
Forty minutes later: Level =14ft and is steady
Find a transfer function model that describes this process approximately. Evaluate all
parameters in your model, including units.
Hint: Assume 15.5 ft is the maximum level reached in the tank during the response.