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Liquid flows out of a spherical tank through a valve can be described by the nonlinear...

Liquid flows out of a spherical tank through a valve can be described by the nonlinear differential equation below: ???(ℎ3??)=???−??√ℎ

  1. i. Derive a linearized model of the form (16)

?ℎ′??=?ℎ′+??′

  1. ii. Develop a transfer function relating the liquid level to the volumetric flow of liquid into the tank. Give the final expression in terms of model coefficients, a and b. (4)

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Answer #1

please see that there will also be a coefficient in front of qi

I have used Taylor series for lineralised form

Thank you

Please let me know if you need anything else from me

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