Archives: Solution Manual

Copyright, Elsevier, 2014 4.18. A stiff 10.0 g ball is held directly above and in contact with a 600.0 g basketball and both are dropped from a height of 1.00 m. What is the maximum theoretical height to which the […]

Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition, Solution Manual, Chapter 4 Solution Manual Chapter 4: Energy Pay attention to the inferred number of significant figures in your answers! Conversion factors: 1.00 J = 0.738 ft lbf; 1.00 kg […]

Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition 3.17. An electric cart can accelerate from 0 to 60. mph in 15 s. The Olympic champion sprinter Usain Bolt2 can run 100.0 m in 9.69 s. Which would win a […]

Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition Solution Manual, Chapter 3: Force and Motion 3.1. Suppose the mass in Example 3.2 is 50.0 slugs. What would its weight be in lbf (pounds force)? Need: Wt of 50.0 slugs […]

Solution Manual, Chapter 2, Elements of Engineering Analysis, Exploring Engineering, Kosky, Balmer, Keat & Wise. Copyright, Elsevier, 2014 52 2.38. A machinist has a sophisticated micrometer that can measure the diameter of a drill bit to 1/10,000 of an inch. […]

Solution Manual, Chapter 2, Elements of Engineering Analysis, Exploring Engineering, Kosky, Balmer, Keat & Wise. Copyright, Elsevier, 2014 41 30. An unnamed country has the population of passenger cars on its roads as determined by 250 kg mass differences shown […]

Solution Manual, Chapter 2, Elements of Engineering Analysis, Exploring Engineering, Kosky, Balmer, Keat & Wise. Copyright, Elsevier, 2014 21 750 800 400 450 500 550 600 650 700 1500 2500 3500 4500 5500 Wt of car in lbf Range in […]

Solution Manual, Chapter 2, Elements of Engineering Analysis, Exploring Engineering, Kosky, Balmer, Keat & Wise. Solution Manual Chapter 2: Elements of Engineering Analysis 1. Sketch the isometric plate below and add the following dimensions: Height = 5 cm, Length = […]

Copyright, Elsevier, 2015 14 1-10) You are attending a regional conference along with five other students from your institution. The night before the group is scheduled to return to campus, one of the students is arrested for public intoxication and […]

Kosky, Balmer, Keat and Wise: Exploring Engineering, Fourth Edition, Solution Manual, Chapter 1 Solution Manual Chapter 1: What Engineers Do 1-1) Draw a conceptual sketch of your computer. Identify the keyboard, screen, power source, and information storage devices using arrows […]

16.1. functions ionapproximator ioninterpolat theare)( 2 1 ),( where ),( )( 2 1 )( 2 1 )( 2 1 ])()()[( 2 1 ),( ),(for form original theinto results thesengsubstitutiBack ,, and element, theofarea theis wherewhere )( 2 1 ,)( 2 […]

15.11.* 625.0 6.1 1 16 9 45 48 1 1 45 48 1 1 )5.4)(5.0(32)5.1(45 )5.1(45 )5)(1(32)2(45 )2(45 54.0 85.1 1 16 9 45 68 1 1 45 68 1 1 )5.8)(75.0(16)5.1(45 )5.1(45 )310)(1(16)2(45 )2(45 37 11 16/9 When 13690 […]

15.1.     +−+ −  − −++ −  −= − − −  =       −  =       + =+      […]

14.1. ( ) ( ) 0 11 22 1 0 1 2 111 22 1 0 11 12 1 1 22 11 2 1 0 11 12 11 :constant and)( of case special For the 1.–7 Table conversion use and […]

13.15. nintegratio of functionarbitrary thedropped have wewhere,2 gIntegratin 2 1 0 )1(2 1 21)21)(1(4 0)0,( )1(421)1(421 2)( 12–13 ExerciseFrom )1(4)1(4 43 )1(4)1(4)1(4 2 )1(4)1(4 2 0and0with,),(,),(,0 :s Potentialq Boussines– FormicAxisymmetr )1(4 2 :ation Represent PapkovichGeneral 2 2 2 2 2 […]

13.1. satisfied. be willequations sNavier’0)( and0 Since 0 )4(228 )(222 )(,4 2 3 222 3 222 == =   = +=+=   −   = +=+=   +   = ++==+= uu ee z w […]

12.1. ( ) ( ) ijoijkk ijoijokkijij okkkkokkkk ijoijkkij T ij M ijij ijkkij M ij ijo T ij TTee TTTTee E TTe E TT E e TT EE eee EE e TTe −+−+=      −−−− […]

11.16*. :cases isotropic and corthotropifor PlotsMATLAB 0, 1 case, isotropic For the 0 )( cos )( cos )]()sin)(coscos(sin )()sin)(coscosRe[(sin2 0 sincos sincos sincos sincos )( sin )]()sin(cos)()sinRe[(cos2 sincos cos1 sincos cos1 )( sin )sin)(cossin(cos sin)( )]()cos(sin)()cosRe[(sin2 ))((2 )(, ))((2 )( […]

11.1. exist moduli elastict independen 21only that implies thus and symmetric ismatrix stiffness canisotropi 66 general the thusand s,Hooke‘ From      =   ij kl kl ij ijkl kl ij ee C e == = […]

10.14. 4       = aez 2 2 4 4             z z z z i 1 2 1   + −+   […]

10.1. 22 4 224 2 2 2 2 2 2 16 4 2 1 , 2 1 lines previous Solving )( 2 1 ,)( 2 1 , zz zzzzzzzzzzyx y i xzy i xz zz i y z zy z […]

9.20.* : PlotMATLAB 3 16 1 2 tanh,10,1010 a b For 2 tanh 11024 3 16 :form ldimensiona–Non 2 tanh 11024 3 16 : (9.5.12) relation From 3 4 4 4 3 3 5,3,1 5 4 5 3 4 5,3,1 […]

9.1. 654321 2 2 222222 1111 22 11 2 3 2 2 2 2 2 2 2 2 2 2 2 2 1,2,3,4 1,2 form general the yieldsresults theseCombining )( ˆ 0)( ˆ 0 )( ),( ),( ˆ )( ),( […]

8.39. )cos31( 2 cos 2 )cos1( 2 sin 2 )cos1( sin )cos1( cos + −+ −= ) 2 sin 3 5 2 3 sin() 2 cos5 2 3 cos( 1 4 3 :coordinateangular theChanging ) 2 sin 3 1 2 […]

8.22. p rr rr A r A p r A uEEE p r A r A Brr r A p r A E B E ruru rr r r A p r A E up r A r A p […]

8.1. 033 042240 042240 4 4 04 22 22 4 40 =++ ++= AAA yAyxAxA 024824 =++= AAA 8.2. 1 4 3 ,0, 2 2 3 0 inspecitonBy 4 3 4 2 2 2 2 2 32 2 4  […]

7.1. xyxyxyxyxy xyy yxx yxyxyxyxy yxyxyxyxx yxyx yxyx yxyx yxyx yyxy xyxx E ee E e E e EE EE e ee ee ee ee eee eee  + =  == −− + = −− + = + −+ […]

6.1. xx xx x x x x e Ee Edxdydz dU U dxdydz E dxdydz E d dxdydz x u ddudxdydzF x dxdydz x u d dxdydzduFdydzdu dydzdx x u d x dudxdydz x dxdydz x u ddudydz dxdydzduFdydzdudydzdx x […]

5.1. x y T l h h x 30o l x a b (a) x w (b) 0),0(),0( 40sin),(,40cos),( 0)0,()0,( == −== == yvyu pbxTpbxT xTxT o y o x yx 0),(),( 0),0(),0( == == ywTywT yTyT yx yx p […]

4.1.                     = +++++= +++++= +++++= +++++= +++++= +++++= +++++= +++++= +++++= +++++= +++++= +++++= 313131233112313331223111 233123232312233323222311 123112231212123312221211 333133233312333333223311 223122232212223322222211 113111231112113311221111 […]

3.1. −=+−= −++−= = +=−+= = == −== −==           = cossin)(cossincossin )sin(coscossincossin cossincossin2cossin : plane obliqueon Stresses cos sin )cos,sin(, 000 00 00 22 2222 XYYX YX S YnT XnT […]

2.1.                 −− −− −− =−=                 ++ =+= +=== […]

1.1. (scalar)5401 (matrix) 402 000 201 (scalar)7400000201 (vector) 2 4 3 (matrix) 350 10180 461 110 240 111 110 240 111 (scalar)251104160111 (scalar)6141 (a) 332211 332313 322212 312111 333323321331322322221221311321121111 332211 333332323131232322222121131312121111 332211 =++=++=        […]

CHAPTER 21 21.1 Consider the (highly artificial) absorption coefficient of Problem 11.22. Find narrow band averages for the absorption coefficient and the transmissivity using Monte Carlo integration (use mcint.f90 or write your own code). Compare with answers from Problem 11.22. […]

466 RADIATIVE HEAT TRANSFER 20.8 The new planet in an adjacent solar system recently found by Penn State (and other) researchers has been determined to have an atmosphere consisting of nitrogen with 1% by volume NO. The planet’s surface has […]

CHAPTER 20 20.1 A long, cylindrical furnace bounded by a cold, black wall of 1 m radius contains pure CO2that is isothermal at 1700 K and at a pressure of patm. Using the mean-beam-length method, determine the nondimensional wall heat […]

CHAPTER 19 19.1 A semi-infinite, gray, isotropically scattering medium, originally at zero temperature, is subjected to colli- mated irradiation with a constant flux qonormal to its nonreflecting surface. Set up the integral relationships governing steady-state temperature and radiative heat flux […]

CHAPTER 17 17.1 Consider a gray, isothermal and isotropically-scattering medium contained between large, isothermal, gray plates at temperatures T1and T2, and emittances ǫ1and ǫ2, respectively. Determine the radiative flux between the plates using the S2-approximation. dq dτ=(1 −ω)(4πIb−G), dG dτ=−1 […]

CHAPTER 16 417 16.9 Two infinitely long concentric cylinders of radii R1and R2with emittances ǫ1and ǫ2both have the same constant surface temperature Tw. The medium between the cylinders has a constant absorption coefficient κ and does not scatter; uniform heat […]

CHAPTER 16 16.1 Consider a gray medium at radiative equilibrium contained within a long black cylinder with a surface temperature of T(r=R,z)=Tw(z). Find the relevant boundary conditions for the P1-approximation directly from equation (16.23), i.e., in a manner similar to […]

CHAPTER 15 391 Tmax =2172 K, Q′′′ qwall =|Ψ(0)|˙ κ=−5 2×106W/m3 5 m−1=5×105W/m2. 392 RADIATIVE HEAT TRANSFER 15.12 Do Problem 15.10 using the Milne-Eddington approximation. Solution For radiative equilibrium we have ∇·q=dq dz =˙ Q′′′,or dq dτ=˙ Q κ, and, […]

CHAPTER 15 15.1 Derive the jump boundary condition for the diffusion approximation, equation (15.26), for the case of concen- tric cylinders. Assume the heat transfer to be one-dimensional (only radial, no azimuthal or axial dependence). Hint: Introduce a local Cartesian […]

CHAPTER 14 14.1 The gap between two parallel black plates at T1and T2, respectively, is filled with a particle-laden gas. Radiative equilibrium prevails, the particle loading is a fixed volume fraction, with particles manufactured from two different materials (one a […]

350 RADIATIVE HEAT TRANSFER 12.13 A semi-infinite space is filled with black spheres. At any given distance, z, away from the plate the particle number density is identical, namely NT=6.3662 ×108m−3. However, the radius of the suspended spheres diminishes monotonically […]

CHAPTER 12 12.1 A mass of m(kg) of coal is ground into particles of equal size a(µm), which may be assumed to be “large” and black. Determine the optical thickness of the resulting spherical particle cloud, assuming that the particles […]

324 RADIATIVE HEAT TRANSFER 11.32 In a combustor the air-fuel ratio is controlled by measuring the total band absorptance of the fuel (methane) for its 3.3µm band. The mixtures inlet conditions are 1 atm total pressure, temperature is 400 K, […]

CHAPTER 11 309 11.20 Consider the spectral absorption coefficient for a narrow band range of ∆ηas given by the sketch. Carefully sketch the corresponding k-distribution. Determine the mean narrow band emissivity of a layer of thickness Lfrom this k-distribution. Solution […]

CHAPTER 11 11.1 Estimate the eigenfrequency for vibration, νe, for a CO molecule. Solution According to equation (11.25) the energy associated with a vibrational transition is, for a harmonic oscillator, ∆ǫij =ǫj−ǫi=hνe(vj−vi)=hνe∆v, where ∆vis the change in vibrational quantum number. […]

278 RADIATIVE HEAT TRANSFER 10.8 Repeat Problem 10.6, but assume that the temperature is uniform at 2000 K. Also, there is no heat production, meaning that the sphere cools down. How long will it take for the sphere to cool […]

CHAPTER 10 10.1 A semi-infinite medium 0 ≤z<∞consists of a gray, absorbing-emitting gas that does not scatter, bounded by vacuum at the interface z=0. The gas is isothermal at 1000 K, and the absorption coefficient is κ=1 m−1. The interface […]