EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 9780100254961
Author: Palm
Publisher: YUZU
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Chapter 2, Problem 2.21P
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Q2:
The oil tank for a hydraulic system (shown in Fig. 6.5) has the following details:
(a) The oil tank is air pressurized at 68.97 kPa gauge pressure.
(b) The inlet to the pump is 3.048 m below the oil level.
(c) The pump flow rate is 0.001896 m3/s.
(d) The specific gravity of oil is 0.9.
(e) The kinematic viscosity of oil is 100 cS.
(f) Assume that the pressure drop across the strainer is 6.897 kPa.
(g) The pipe diameter is 38.1 mm.
(h) The total length of the pipe is 6.097 m.
Find the pressure at station 2.
by Dr. Ali Khaleel Kareem
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by Dr. Ali Khaleel Kareem
Breather
Three standard elbows (A, B and C)
3 m
Pump
Figure 6.5
38 mm (ID)
Pipe length = 6m
20
21
A 3 m x 5 m section of wall of the cold room is not insulated, and the temperature at the outer surface of this section is measured to be 7°C. The temperature of the outside room is 30°C, and the combined convection and radiation heat transfer coefficient at the surface of the outer wall is 10 W/m2°C. It is proposed to insulate this section of the furnace wall with glass wool insulation (k = 0.038 W/m°C) in order to reduce the heat transfer by 90%. Assuming the outer surface temperature of the cold room wall section still remains at about 7°C, determine the thickness of the insulation that needs to be used.
The company is questioning whether to insulate the section of piping between the evaporator and the compressor. Present (using equations to support your reasoning) whether you would support this idea or not
Q1.Given the unity feedback system with a forward path transfer function,
G(s) =
=
K
(s+1)(s+2)(s+6)
. Do the following:
(a) Draw the root locus
(b) Find the gain, K, and natural frequency for a damping ratio 0.5.
(c) Find the range or value of gain, K for
i. overdamped ii. critically damped iii. Undamped iv. underdamped
Chapter 2 Solutions
EBK SYSTEM DYNAMICS
Ch. 2 - Prob. 2.1PCh. 2 - Solve each of the following problems by direct...Ch. 2 - Solve each of the following problems by separation...Ch. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Obtain the Laplace transform of the following...Ch. 2 - Obtain the Laplace transform of the function shown...Ch. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Obtain the inverse Laplace transform xt for each...Ch. 2 - Solve the following problems: 5x=7tx0=3...Ch. 2 - Solve the following: 5x+7x=0x0=4 5x+7x=15x0=0...Ch. 2 - Solve the following problems: x+10x+21x=0x0=4x0=3...Ch. 2 - Solve the following problems: x+7x+10x=20x0=5x0=3...Ch. 2 - Solve the following problems: 3x+30x+63x=5x0=x0=0...Ch. 2 - Solve the following problems where x0=x0=0 ....Ch. 2 - Invert the following transforms: 6ss+5 4s+3s+8...Ch. 2 - Invert the following transforms: 3s+2s2s+10...Ch. 2 - Prob. 2.21PCh. 2 - Compare the LCD method with equation (2.4.4) for...Ch. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - (a) Prove that the second-order system whose...Ch. 2 - For each of the following models, compute the time...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - If applicable, compute , , n , and d for the...Ch. 2 - Prob. 2.31PCh. 2 - For each of the following equations, determine the...Ch. 2 - Prob. 2.33PCh. 2 - Obtain the transfer functions Xs/Fs and Ys/Fs for...Ch. 2 - a. Obtain the transfer functions Xs/Fs and Ys/Fs...Ch. 2 - Prob. 2.36PCh. 2 - Solve the following problems for xt . Compare the...Ch. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Determine the general form of the solution of the...Ch. 2 - a. Use the Laplace transform to obtain the form of...Ch. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Obtain the inverse transform in the form xt=Asint+...Ch. 2 - Use the Laplace transform to solve the following...Ch. 2 - Express the oscillatory part of the solution of...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - 2.54 The Taylor series expansion for tan t...Ch. 2 - 2.55 Derive the initial value theorem:
Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to solve for and plot the unit-step...Ch. 2 - Use MATLAB to solve for and plot the unit-impulse...Ch. 2 - Use MATLAB to solve for and plot the impulse...Ch. 2 - Use MATLAB to solve for and plot the response of...
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