SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
Author: Palm
Publisher: MCG CUSTOM
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Chapter 8, Problem 8.9P
The liquid-level system shown in Figure 8.1.2d has the parameter values A = 50 ft2 and R — 60 ft-1sec_l. If the inflow rate is qv(t) = lOzz/f) ft'/sec, and the initial height is 2 ft. how long will it take for the height to reach 15 ft?
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Example 8.2 A train traveling at 60 km/h has to slow down on account of work being done on the line. Instead of continuing at a constant speed, it therefore, moves with a constant retardation of 1Km/h per second until its reduced to 15 km/h. It then travels at a constant speed for 0,25 km and then accelerates at 0.5 km/h per second until its speed is once more 60 km/h. Find the delay caused.
a)If the system has a transfer function of the form G_P (s)=H(s)/(V_m (s) )=μ/(1+Ts) where µ is the gain and T is the time constant, calculate values for µ and T for the case where the valve is at position 3.
Hints: Use the constants and information in table 1. The dynamics of the water tank can be found by applying the continuity equation: qin - qout = rate of change in water tank
A control valve is used to manipulate a liquid flowrate in the flowrate control loop. Figure 2 shows the flow characteristic of the control valve.Determine the following:
i. Type of flow characteristic of the control valve.ii. Flowrate through the valve if the valve travel is 45%. Noted that the flowrate of the liquid is 70 000 lb/h when the valve is fully opened.iii. The maximum flow coefficient of the control valve, if the density of the liquid is half of the density of water and the pressure drop across the valve is 10 psi.
Chapter 8 Solutions
SYSTEM DYNAMICS LL+CONNECT
Ch. 8 - Prob. 8.1PCh. 8 - Suppose the rocket motor in Problem 8.1 takes 0.04...Ch. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - The liquid-level system shown in Figure 8.1.2d has...Ch. 8 - The immersed object shown in Figure 8.1.2e is...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Obtain the response of the following models with...Ch. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - If applicable, compute <, r, a>„, and iod for the...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - 8.27 Given the model
,v — (/z + 2)i + (2/z + 5)x =...Ch. 8 - Prob. 8.28PCh. 8 - Prob. 8.29PCh. 8 - 8.30 The characteristic equation of a certain...Ch. 8 - Prob. 8.31PCh. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Prob. 8.34PCh. 8 - Prob. 8.35PCh. 8 - Derive the fact that the peak time is the same for...Ch. 8 - Prob. 8.37PCh. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Prob. 8.42PCh. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Prob. 8.45P
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