Exercise 4 The capacitance of an open vessel is C = dv dp where p + pa is the pressure at the base of the vessel, v is t

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Exercise 4 The Capacitance Of An Open Vessel Is C Dv Dp Where P Pa Is The Pressure At The Base Of The Vessel V Is T 1 (115.77 KiB) Viewed 37 times

Exercise 4 The capacitance of an open vessel is C = dv dp where p + pa is the pressure at the base of the vessel, v is the volume of liquid within the vessel, and Pa is the atmospheric pressure. Consider the system shown in Figure 5. It consists of a conical vessel with a restriction at its outlet. The vessel is open at the top. The cone angle, 0, is indicated in the diagram. Water flows into it at a rate wi(t). The flow rate out of the vessel through the restriction is w。 = = k√p. Derive a formula for the capacitance of the conical tank. Include the derivation in your report. Find a non-linear state-variable model for the system. Include the derivation in your report. Find an output equation for the height of the fluid in the tank, h. Include it in your report. w(t) P₂ kX₁ Pa Figure 5 W