Review Problems

Review Problems - Review Problems This section contains a...

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This section contains a set of Review Problems for each chapter. The problems for any chap- ter can be obtained by clicking on the desired chapter number below. In the problem state- ments, the phrases within parentheses refer to the main topics to be used in solving the prob- lems. The answer to each problem accompanies the problem statement. A complete, detailed solution to each problem can be obtained by clicking on the answer for that problem. Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 R-1 R eview Problems Review Problems for Chapter 1 Click on the answers of the review problems to go to the de- tailed solutions. 1.1R (Dimensions) During a study of a certain flow sys- tem the following equation relating the pressures and at two points was developed: In this equation V is a velocity, the distance between the two points, D a diameter, g the acceleration of gravity, and f a di- mensionless coefficient. Is the equation dimensionally consistent? (ANS: No) 1.2R (Dimensions) If V is a velocity, a length, a weight, and a fluid property having dimensions of de- termine the dimensions of: (a) (b) (c) and (d) (ANS: 2 1.3R (Units) Make use of Table 1.4 to express the follow- ing quantities in BG units: (a) 465 W, (b) 92.1 J, (c) (d) (e) (ANS: ) 3.03 3 10 2 6 ft 3 ; 2.46 slugs / ft 2 3.43 3 10 2 ft ? lb / s; 67.9 ft ? lb; 11.2 lb / ft 2 ; 386 kg / m 2 . 85.9 mm 3 , 536 N / m 2 , L 4 T 2 2 ; F 2 L 2 1 T; FL 2 2 ; L V / 2 m / w . V m / / , w m / , V / w / m , FL 2 2 T , m w / / p 2 5 p 1 1 f / V Dg p 2 p 1 1.4R (Units) A person weighs 165 lb at the earth’s surface. Determine the person’s mass in slugs, kilograms, and pounds mass. (ANS: 5.12 slugs; 74.8 kg; 165 lbm) 1.5R (Specific gravity) Make use of Fig. 1.1 to determine the specific gravity of water at 22 and What is the spe- cific volume of water at these two temperatures? (ANS: 0.998; 0.966; 2 1.6R (Specific weight) A 1-ft-diameter cylindrical tank that is 5 ft long weighs 125 lb and is filled with a liquid having a specific weight of Determine the vertical force re- quired to give the tank an upward acceleration of (ANS: 509 lb up) 1.7R (Ideal gas law) Calculate the density and specific weight of air at a gage pressure of 100 psi and a temperature of Assume standard atmospheric pressure. (ANS: ) 1.8R (Ideal gas law) A large dirigible having a volume of contains helium under standard atmospheric condi- tions 1 abs 2 and Determine the density and total weight of the helium. (ANS: ) 0.169 kg / m 3 ; 1.49 3 10 5 N temperature 5 15 °C 4 . 3 pressure 5 101 kPa 90,000 m 3 1.72 3 10 2 2 slugs / ft 3 ; 0.554 lb / ft 3 100 °F. 9 ft / s 2 . 69.6 lb / ft 3 . 1.035 3 10 2 3 m 3 / kg 1.002 3 10 2 3 m 3 / kg; 89 °C.
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1.9R (Viscosity) A Newtonian fluid having a specific grav- ity of 0.92 and a kinematic viscosity of flows past a fixed surface. The velocity profile near the surface is shown in Fig. P1.9R. Determine the magnitude and direction of the shearing stress developed on the plate. Express your an- swer in terms of U and with U and expressed in units of meters per second and meters, respectively.
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