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6. Consider the liquid-level system shown. Assume that the outflow rate Q(m/s) through the outflow valve...
(30pts) Consider the liquid level system shown in the figure. Assume the outflow rate Q (m3/s) th...
(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...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and...
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...
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the ta...
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...
5. (10 points) Consider the liquid-level system shown. At steady state, the inflow rate is Q:...
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....
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the infl...
please answer all of part i really need them ASAP ...
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the inflow of liquid qi by the time domain equation d h dt where τ RLGL, the steady state gain of the system is G RL/pg and the tank capacitance, inlet ine ho outlet vave Tank Figure 4: Tank Level Process (a) You carry out some measurements on the tank and...
Considering the following liquid-level qo where the liquid is laminar flow and .0-steady-state fl...
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...
liquid-level
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...
1) Consider the tank shown below. Assume that the average operating level is h a. Derive...
1) Consider the tank shown below. Assume that the average operating level is h a. Derive the capacitance of the container. b. Find the time constant of the system. c. Derive the dynamic model of the head (transfer function), assuming that the inflow rate is q.and the outflow is q.. 0 20 20 0
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s....
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s. Determine the flow resistance at the outlet If the flow rate is suddenly increased to 2.52 m3/s, Determine: A. (2.5%) B. (7.5%) (5%) (5%) The level of the liquid when the system reaches steady state again. The time constant and the time dependent response of tthe system. The 2% settling time of the system....
(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...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
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...
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...
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....
please answer all of part i really need them ASAP ...
The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the inflow of liquid qi by the time domain equation d h dt where τ RLGL, the steady state gain of the system is G RL/pg and the tank capacitance, inlet ine ho outlet vave Tank Figure 4: Tank Level Process (a) You carry out some measurements on the tank 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...
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...
1) Consider the tank shown below. Assume that the average operating level is h a. Derive the capacitance of the container. b. Find the time constant of the system. c. Derive the dynamic model of the head (transfer function), assuming that the inflow rate is q.and the outflow is q.. 0 20 20 0
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s. Determine the flow resistance at the outlet If the flow rate is suddenly increased to 2.52 m3/s, Determine: A. (2.5%) B. (7.5%) (5%) (5%) The level of the liquid when the system reaches steady state again. The time constant and the time dependent response of tthe system. The 2% settling time of the system....
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