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A STUDENT’S SOLUTIONS MANUAL TO ACCOMPANY MECHANICS of FLUIDS

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) m = F/a or kg = N/m/s 2 = N·s 2 /m 1.2 (B) [¿] = [Ä/(du/dy)] = (F/L L T L F T 2)/( / )/ = . /L 2 1.3 (A) 8 9 2.36 10 Pa 23.6 10 Pa 23.6 nPa − − × = × = 1.4 (C) The mass is the same on earth and the moon, so we calculate the mass using the weight given on earth as: m = W/g = 250 N/9.81 m/s 2 = 25.484 kg Hence, the weight on the moon is: W = mg = 25.484 × 1.6 = 40.77 N 1.5 (C) The shear stress is due to the component of the force acting tangential to the area: shear F = F sinθ = 4200sin 30 = 2100 N  shear 3 4 2 2100 N = 84 10 Pa or 84 kPa 250 10 m Ä − = = × × F A 1.6 (B) – 53.6°C 1.7 (D) Using Eqn. (1.5.3): 2 2 3 water ( 4) (80 4) kg/m 180 180 ρ − − = − = − = T 1.8 (A) The shear stress is given by: du dr Ä = ¿ We determine du/dr from the given expression for u as: ( ) ,000 du d r r dr dr = ⎡ − ⎤ = − ⎣ ⎦ At the wall r = 2 cm = 0.02 m. Substituting r in the above equation we ge

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3/25/24, 9:56 AM A Student’s Solutions Manual to Accompany Mechanics of Fluids




ASTUDENT’SSOLUTIONSMANUALTOACCOMPANY




MECHANICSofFLUIDS,
4THEDITION,SI


MERLEC.POTTER
DAVIDC.WIGGERT
BASSEMH.RAMADAN











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,3/25/24, 9:57 AM A Student’s Solutions Manual to Accompany Mechanics of Fluids













STUDENT'SSOLUTIONSMANUAL






TOACCOMPANY






MECHANICSofFLUIDS





FOURTHEDITION,SI



MERLEC.POTTER
MichiganStateUniversity

DAVIDC.WIGGERT
MichiganStateUniversity

BASSEMRAMADAN
KetteringUniversity




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,3/25/24, 9:57 AM A Student’s Solutions Manual to Accompany Mechanics of Fluids




Contents
Preface          iv

Chapter1  BasicConsiderations     1

Chapter2 FluidStatics       15

Chapter3 IntroductiontoFluidsinMotion    29

Chapter4 TheIntegralFormsoftheFundamentalLaws  37

Chapter5 TheDifferentialFormsoftheFundamentalLaws 59

Chapter6 DimensionalAnalysisandSimilitude   77

Chapter7 InternalFlows      87

Chapter8 ExternalFlows     109

Chapter9 CompressibleFlow     131

Chapter10 FlowinOpenChannels     141

Chapter11 FlowsinPipingSystems    161

Chapter12 Turbomachinery     175

Chapter13 MeasurementsinFluidMechanics 189




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, 3/25/24, 9:57 AM A Student’s Solutions Manual to Accompany Mechanics of Fluids




PrefacefortheStudent

This manual provides the solutions to the problems whose answers are provided at the end of our
book, MECHANICS OF FLUIDS, SI. In many cases, the solutions are not as detailed as the
examples in the book; they are intended to provide the primary steps in each solution so you, the
student, are able to quickly review how a problem is solved. The discussion of a subtle point,
should one exist in a particular problem, is left as a task for the instructor. In general, some
knowledge of a problem may be needed to fully understand all of the steps presented. This
manual is not intended to be a self-paced workbook; your instructor is critically needed to provide
explanations, discussions, and illustrations of the myriad of phenomena encountered in the study
of fluids, but it should give you considerable help in working through a wide variety of problems.

The degree of difficulty and length of solution for each problem varies considerably. Some are
relatively easy and others quite difficult. Typically, the easier problems are the first problems for
a particular section.

We continue to include a number of multiple-choice problems in the earlier chapters, similar to
those encountered on the Fundamentals of Engineering Exam (the old EIT Exam) and the
GRE/Engineering Exam. These problems will provide a review for the Fluid Mechanics part of
those exams. They are all four-part, multiple-choice problems and are located at the beginning of
the appropriate chapters.

The examples and problems have been carefully solved with the hope that errors have not been
introduced. Even though extreme care is taken and problems are reworked, errors creep in. We
would appreciate knowing about any errors that you may find so they can be eliminated in future
printings. Please send any corrections or comments to have class tested
most of the chapters with good response from our students, but we are sure that there are
improvements to be made.


East Lansing, Michigan Merle C. Potter
David C. Wiggert
Flint, Michigan Bassem Ramadan




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