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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 210gal/min.

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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 210gal/min. An operator notes that the tank level changes as follows: - Before input change: Level =10ft and is steady - Four minutes later: Level =16.5ft - Forty minutes later: Level =15ft and is steady Find a transfer function model that describes this process approximately. Evaluate all parameters in your model, including units. Hint: Assume 4 minutes is the time to first peak

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