Q1. Determine the solution of x(t). 4x + 20% +36x = 0 Where x(0) = 2...
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate are both Ở and the flow rate between the tanks is zero. The heads at tank 1 and tank 2 are both H. At t = 0, the inflow rate is changed from 0 to + , where is the small change in the inflow rate. The resulting changes in the heads (h/ and h2) and flow rates are assumed to be...
5. (10 points) Consider the liquid-level system shown. At steady state, the inflow rate is Q: the outflow rates are Q1 and Q, respectively; the flow rate from tank 1 to tank 2 is Q12, and the heads of tanks 1 and 2 are H and H2, respectively. If the inflow rate is changed from Q to Q+q, determine the transfer function Hz(8)/Q(s). Assume the deviations 4,91,92,912, h, and hy are all small. 6th Jan Hathe +7 т/ н+А, JE>,+8....
Liquid Level System Consider the liquid level system shown below. At steady state, the inflow rate is Q and the outflow rate is also Q Assume that at t = 0 the inflow rate is changed from Q to Q + qr where q, is a small quantity. The disturbance input is qd, which is also a small quantity. Draw a block diagram of the system and simplify it to obtain H 2(s) as a function of Q(s) and Q...
Find G(s)= H2(s)/Q(s) 1.- - For the system shown in the figure, ?+q> Tanque 2 Tanque HEMU H + hz H+hi * 0+2 Q1 +91 where Q(s) is the input liquid flow, H(s) is the height of tank 1, H2(S) is the height of tank 2. Qe(s) is the output liquid flow, R and R2 are the valves resistance and C and C2 are the capacitance of tank 1 and tank 2. Obtain the Block Diagram and the Transfer Function...
Q1. Mass M is lifted by a pulley system as shown in Figure 1. The pulley is rotating in a clockwise direction. Assuming zero initial conditions, obtain transfer function of the system, X(s)/Ta(s). Τα B X м k Figure 1
(30pts) Consider the liquid level system shown in the figure. Assume the outflow rate Q (m3/s) through the outflow value is related to the liquid level H by Assume also that, when the inflow rate Qi and outflow rate QOare at Q = 0015m3/s, the liquid level stays at constant H. The capacitance C of the tank is 2m2 Find the steady state value of the liquid level system H. Develop the governing equations for the liquid level system and...
Considering the following liquid-level qo where the liquid is laminar flow and .0-steady-state flow rate (m'/s) . H-steady-state head (m) rate from the steady-state value (m/s) qi-small deviation of inflow . qo-small deviation ofoutflow rate from the steady-state value (m/s) h - small deviation of head from its steady-state value (m) . R-the resistance of the laminar flow in the output flow pipe · C-the capacitance of the tank Derive the differential equation model of the liquid-level-system with input as...
6. Consider the liquid-level system shown. Assume that the outflow rate Q(m/s) through the outflow valve is related to the head H by: Q=kVH = 0.01VH Also assume when the inflow rate Qi is 0.015m3/s the head is constant. At t=0 the inflow valve is closed, so there is no flow for t0. Find the time necessary to empty the tank to half the original head. The area of the tank is 2m2 TIL Capacitance c
The figure for 4-52 is the image below. Solve problem B-4-10. Then answer the following: 1. If the head h is the input to the hydraulic controller and the output from the controller is y, derive the transfer function of the controller? 2. What is the control action of this controller? Screen Shot 2019-06-03 at 10.49.13 PM Q Search B-4-10. Consider the liquid-level control Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state...
Q1 20 points. Two tanks contain liquid filled to the same depth h as shown below Liquid A: Has a constant density pAPo Liquid B: The density varies with position acording to the formula pn() where the coordinate z is shown in the figure. 0 is the bottom of each tank while z = h is the top of the liquid surface exposed to atmosphere. The : liquids are in hydrostatic equilibrium. Two tanks containing liquids with the same depth...