A pneumatic valve is maintaining pressure Pi(t) to the system in order to control the flow rate of the gas entering the pressure tank as indicated in the figure. Due to the pressure, a force F(t) is applied to the valve plug having mass of m, stiffness of K and Coloumb friction of B and this force causes a displacement x(t) which opens the valve to let the gas to flow into the tank. The relation between the displacement and the gas flow rate is given as q(t) = K¸x(t). For this system: Pneumatic Valve K, B, m Pressure Tank 7x a. Obtain the block diagram of the system. b. Obtain the transfer function, which gives the relation between the maintaining pressure and the tank pressure. fvfc Valve Po(t) q(t) c. If maintaining pressure is unit impulse function, obtain the time domain response of the tank pressure Po(t). Numerical Data: A=25cm?, Ky=1000 m³/s, C=1 m*s³/kg, m=2 kg, B=20 Ns/m, K=32 N/m

A pneumatic valve is maintaining pressure Pi(t) to the system in order to control the flow rate of the gas entering the pressure tank as indicated in the figure. Due to the pressure, a force F(t) is applied to the valve plug having mass of m, stiffness of K and Coloumb friction of B and this force causes a displacement x(t) which opens the valve to let the gas to flow into the tank. The relation between the displacement and the gas flow rate is given as q(t) = K¸x(t). For this system: Pneumatic Valve K, B, m Pressure Tank 7x a. Obtain the block diagram of the system. b. Obtain the transfer function, which gives the relation between the maintaining pressure and the tank pressure. fvfc Valve Po(t) q(t) c. If maintaining pressure is unit impulse function, obtain the time domain response of the tank pressure Po(t). Numerical Data: A=25cm?, Ky=1000 m³/s, C=1 m*s³/kg, m=2 kg, B=20 Ns/m, K=32 N/m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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