For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace...
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) = Pi +Vx(t), qi(t) = Ah' (t) + 4o(t) , 4o(t) = n(t)/R Given: ico) = 10 C, R, = 3 ses A = 2 m3 , Vx(t) = -K;h(t) sec ! c) yss a). Block diagram (close loop) d) ts (tolerance 2%). b) Find the transfer function e) Error steady state ess Qi(s) f) yo
Problem 2 The input to the shown fluid system is qi which is the inlet flow rate to tank 1 It is desired to control the fluid level in tank 2. Write the state space representation of the system. Valve eMechanica.com Valve A2
Problem 1) Derive differential equations governing the given fluid system for the system and present them in state space form. The density of the fluid is p. The fluid exiting the tank with capacitance C3, flows through a resistor R4 and then a long pipe of length L with an inertance I State vector X-[h h, h, h, q input vector u={qil qi2 qǐ3)" Output Vector Y (42 i2 41 92 h3 C. 93 Rs 3 You may solve the...
2) An electric circuit is shown below. Obtain the transfer function using a system of equations and Cramer's Rule. + voll) 4 6 H 2 O (f 4 H
PROBLEM #2 (30%) A tank of cross section area Ar supplies fluid to a piston-cylinder shown below. Fluid is delivered to the top of the tank at a volumetric flow rate of qin. Let R represent the flow resistance in the pipe connecting the tank and the cylinder. The fluid is assumed to be incompressible. The piston area is Ap and its mass is m. You are to IGNORE the capacitance of the fluid in the cylinder. The fluicd capacitance...
QUESTION 2 The system shown below is a fermentation tank. In this, water (with dissolved glucose) enters the tank with a flow rate of q: [L/min) and a glucose concentration of c [mol/L). During reaction, glucose is converted at a rate of n = -VKc (where n is the moles of glucose converted per minute [mol/min), V is the volume of fluid in the tank (L'), and K is the reaction rate). The tank has a cross-sectional area of A....
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the tank is given varies as a function of the height of the fluid in the tank, QVe Bpg kg.s-1. The area of the base of the tank is A 1 m2. The answers to the below questions can be left in terms of p and g. (a) [5 points] - Derive the differential equation for the height of the fluid in the...
Write the differential equations of motion, convert to Laplace domain and find the transfer function indicated. Use: k1 k2 k3 2, m1 mz 3, c4 G(s)265) )Y(s) y0) disphcement input
Problem 2 Derive the governing differential equations of the electromechanical system shown below. You do not need to put these equations into state-space representation. Neglect the resistance in the coil. The actuator (solenoid) force acting on the rod mo is related to the current as The back-emf is related to the velocity of the rod mo as X2 r1 eb m1 m2 し2
Q4. For the system shown in Figure 4 where m=10 kg, 100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x,(0)-0,x,(0)-0.001 m, 2E 2m 1n Figure 4 Q4. For the system shown in Figure 4 where m=10 kg, 100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of...