Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 1, Problem 44CP
What is the importance of modeling in engineering? How are the mathematical models for engineering processes prepared?
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I need answer within 20 minutes please please with my best wishes
We consider a bar rotating, with friction due to viscosity, around a point where a torque is applied. The
non-linear dynamic equation of the system is given by
ml²ö = -mgl sin 0 – kl²ė + C
where
8 - is the angle between the bar and the vertical axis;
C- is the torque (C>0);
k – is a viscous friction constant;
l- is the length of the bar;
m – is the mass of the bar;
a) Choose appropriate state variables and write down the state equations;
b) Find all equilibria of the system, assuming that < 1;
c) Linearize the system around equilibrium points and determine the eigenvalues for each equlibria;
mgl
Chapter 1 Solutions
Fluid Mechanics: Fundamentals and Applications
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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