FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Textbook Question
Chapter 1, Problem 70P
Search the Internet to find out how to properly add or subtract numbers while taking into consideration the number of significant digits. Write a summary of the proper technique, then use the technique to solve the following cases: (a)
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A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
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Chapter 1 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
Ch. 1 - What is a fluid? How does it differ from a solid?...Ch. 1 - Define internal, external, and open-channel flows.Ch. 1 - Define incompressible flow and in compressible...Ch. 1 - Consider the flow of air over the wings of an...Ch. 1 - What is forced flow? How does it differ from...Ch. 1 - How is the Mach number of a flow defined? That...Ch. 1 - When an airplane is flying at a constant speed...Ch. 1 - Consider the flow of air at a Mach number of 0.12....Ch. 1 - What is the no-slip condition? What causes it?Ch. 1 - What is a boundary layer? What causes a boundary...
Ch. 1 - What is a steady-flow process?Ch. 1 - Define stress, normal stress, shear stress, and...Ch. 1 - What are system, surroundings, and boundary?Ch. 1 - When analyzing the acceleration of gases as they...Ch. 1 - When is a system a closed system, and when is it a...Ch. 1 - You are to understand how a reciprocating air...Ch. 1 - What is the difference between pound-mass and...Ch. 1 - In a news ankle, is stated that a recently...Ch. 1 - Explain why the light-year has the dimension of...Ch. 1 - What is the net force acting on a car cruising at...Ch. 1 - A man goes to a traditional market to buy a steak...Ch. 1 - What is the weight, in N, of an object with a mass...Ch. 1 - What is the weight of a 1-kg substance in N,...Ch. 1 - Determine the mass and the weight of the air...Ch. 1 - A 3-kW resistance heater a water beater...Ch. 1 - A195-Ibm astronaut took his bathroom scale (a...Ch. 1 - The acceleration of high-speed aircraft sometimes...Ch. 1 - A 10-kg rock is thrown upward with a force of 280...Ch. 1 - The value of the gravitational acceleration g...Ch. 1 - At 45° latitude: the gravitational acceleration as...Ch. 1 - 1-32 The gravitational constant g is 9.807m/s2 at...Ch. 1 - On average, an adult person breathes in about 7.0...Ch. 1 - While solving a problem, a person ends up with...Ch. 1 - An airplane flies horizontally at 70m/s . Its...Ch. 1 - If the airplane of Prob. 1-35 weighs 17 lbf,...Ch. 1 - The boom of a fire truck raises a fireman (and his...Ch. 1 - A 6-kg plastic tank that has a volume of 0.18m3 is...Ch. 1 - Water at 15°C from a garden hose fills a 1.5 L...Ch. 1 - A forklift raises a 90.5 kg crate 1.80 m. (a)...Ch. 1 - The gas tank of a car is filled with a nozzle that...Ch. 1 - A pool of volume V (in m3) is to filled with water...Ch. 1 - Based on unit considerations alone, show that the...Ch. 1 - What is the importance of modeling in engineering?...Ch. 1 - What is the difference between the analytical and...Ch. 1 - When modeling an engineering process, how is the...Ch. 1 - What is the difference between precision and...Ch. 1 - How do the differential equations in the study of...Ch. 1 - What is the value of the engineering software...Ch. 1 - The weight of bodies may change somewhat from one...Ch. 1 - The reactive force developed by a jet to push an...Ch. 1 - An important design consideration in two-phase...Ch. 1 - Consider the flow of air through a wind turbine...Ch. 1 - A tank is filled with oil whose density is =850...Ch. 1 - If mass, heat, and work are not allowed to cross...Ch. 1 - The speed of an aircraft is given to be 260 m/s in...Ch. 1 - One J/kg is equal to (a) 1kPam3 (b) 1kNm/kg (c)...Ch. 1 - Which is a unit for power? (a) Btu (b) kwh (c)...Ch. 1 - The speed of an aircraft is given to be 950 km/h....Ch. 1 - The weight of a 10-kg mass at sea level is (a)...Ch. 1 - The weight of a 1 -Ibm mass is (a) 1Ibmft/s2 (b)...Ch. 1 - A hydroelectric power plant operates at its rated...Ch. 1 - Write an essay on the various mass- and...Ch. 1 - Search the Internet to find out how to properly...Ch. 1 - Another unit is kgf, which is a force unit used...Ch. 1 - Discuss why pressure tests of pressurized tanks...
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