Fundamentals Of Fluid Mechanics, 6th Edition By Munson Answers.pdf

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nswers to ASelected Even-Numbered Homework Problems Chapter 1 1.2 1a2 L3; 1b2 LT ⫺2; 1c2 FL⫺1 T 2; L4; ML2T ⫺2 1.6 1a2 L2T ⫺2; 1b2 M 2L⫺3 T ⫺3; 1c2 M 0L0T 0 1.8 LT ⫺1, F 0L 0T 0, LT ⫺1 1.10 Yes 1.12 1Ⲑ 2, ⫺1Ⲑ 2 1.14 No, no 1.16 1a2 4.66 ⫻ 104 ft; 1b2 5.18 ⫻ 10⫺2 lbⲐ ft3; 1c2 3.12 ⫻ 10⫺3 slugsⲐft3; 1d2 2.36 ⫻ 10⫺2 ft ⭈ lbⲐs; 1e2 5.17 ⫻ 10⫺6 ftⲐ s 1.20 1a2 7.57 ⫻ 10⫺2 m3 Ⲑs; 1b2 4540 liters Ⲑmin; 1c2 2.67 ft3Ⲑs 1.24 1a2 0.240 mi3; 1b2 4.41 ⫻ 105 lb 1.26 30.6 kg; 37.3 N 1.28 1150 kg Ⲑm3; 11.3 kN Ⲑm3 1.32 9770 N Ⲑm3; 996 kg Ⲑm3; 0.996 1.34 0.335; 3290 N Ⲑm3 1.36 4.76 kg 1.38 1a2 0.0214 kg Ⲑm3; 1b2 ␳MarsⲐ ␳earth ⫽ 1.75% 1.40 1.26 m3 1.42 668 lb 1.46 0.6 N ⭈ s Ⲑm2, 1.3 ⫻ 10⫺2 lb ⭈ s Ⲑft2 1.48 31.0% 1.50 5 ⫻ 10⫺5 N ⭈ s Ⲑm2; 10.4 ⫻ 10⫺7 lb ⭈ s Ⲑft2 1.52 0.116 lb ⭈ sⲐft2; larger 1.54 15,000 1water2; 752 1air2 1.56 C ⫽ 1.43 ⫻ 10⫺6 kgⲐ1m ⭈ s ⭈ K1Ⲑ22; S ⫽ 107 K 1.58 D ⫽ 1.767 ⫻ 10⫺6 N ⭈ sⲐm2; B ⫽ 1.870 ⫻ 103 K; 5.76 ⫻ 10⫺4 N ⭈ sⲐ m2 1.60 V1ⲐV ⫽ 2cⲐ 11 ⫹ c2 1.62 11.7 ⫻ 10⫺4 ft 1.64 0.0883 mⲐs 1.66 1a2 C1 ⫽ 153 s⫺1; C2 ⫽ 4350 ft⫺2s⫺1 1b2 5.72 ⫻ 10⫺5 lbⲐft2 1y ⫽ 02; 6.94 ⫻ 10⫺5 lbⲐft2 1 y ⫽ 0.05 ft2 1.68 0.944 ft ⭈ lb; 17.8 ft ⭈ lb Ⲑs 1.70 ᐀ ⫽ 2pR3i /mw1R0 ⫺ Ri 2 1.76 4.14 ⫻ 103 psi 1.78 1a2 343 mⲐ s; 1b2 1010 m Ⲑs; 1c2 446 m Ⲑs 1.80 170 psi 1.82 4.25 ⫻ 10⫺3 slugsⲐft3; 305 ⬚F 1.88 3000 m 1.90 13 kPa 1abs2

1.92 1.94 1.96 1.98 1.100 1.102

5.81 kPa 1abs2; 0.842 psi 1abs2 0.0600 N Ⲑm 12.2 Pa 1a2 0.126 ⲐD; 0.126 in. 3.00 mm 0.186 in.; 4.65 in.

Chapter 2 2.2 59.2 kPa 2.4 1a2 16.0 kPa; 9.31 kPa; 1b2 no 2.6 50.5 M Pa; 7320 psi 2.8 0.0797 psi 2.12 10.2 psia 2.14 1a2 58.8 kPa; 1b2 442 mm Hg 2.16 1a2 1240 lb Ⲑft2 1abs2; 1b2 1040 lb Ⲑft2 1abs2; 1c2 1270 lb Ⲑft2 1abs2 2.18 12.1 kPa; 0.195 kg Ⲑm3 2.20 29.43 in. Hg 2.22 60 kPa 2.24 ⫺187 lb Ⲑft2 2.26 1a2 0.759 m; 0.759 m 1without vapor pressure2; 1b2 10.1 m; 10.3 m 1without vapor pressure2; 1c2 12.3 m; 13.0 m 1without vapor pressure2 2.28 4.67 psi 2.30 ⫺3.32 kPa 2.32 0.224 psi 2.34 h ⫽ 1 p1 ⫺ p22Ⲑ1␥2 ⫺ ␥12 2.36 0.040 m 2.38 94.9 kPa 2.40 0.449 m 2.42 3.99 psi 2.44 27.8 deg 2.46 0.304 ft 1down2 2.48 / ⫽ 3d ⫹ 11.31 ⫺ 1d 2 ⫹ 18.61d ⫹ 1282 1Ⲑ2 4 Ⲑ2 2.50 p1psi2 ⫽ 0.416 u 2.52 889 N 2.54 92.4 kN; 0.0723 m along gate below centroid 2.56 639 kN; 0.990 m above bottom 2.58 107 kPa 2.64 33,900 lb 2.66 1a2 16.2 m; 1b2 No 2.68 5.24 ft

ANS-1

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ANS-2 2.70 2.72 2.74 2.76 2.78 2.84 2.86 2.88 2.90 2.92 2.94 2.98 2.100 2.104 2.106 2.108 2.110 2.112 2.114 2.116 2.118 2.120

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Answers to Selected Even-Numbered Homework Problems

3.55 m 1a2 2.11 m; 1b2 941 kN 78.5 kN; 2.03 m below free surface 102 ft ⭈ lb 48.2 ft; 61.1 ft; 71.8 ft; 81.1 ft; 89.1 ft 20,200 lb 7.77 ⫻ 109 lb acting 406 ft up from base of dam 64.4 kN 60.8 kN; 0.100 m below center of tank end wall 337 lb, 882 lb 485 kN 1a2 786,000 lb; 1b2 315,000 lb 54,600 lb 2480 kg 681 lb up; 6.22 ft to right of A 89.5 ⫺8.63 ftⲐs2 1a2 68.9 lb Ⲑft2; 1b2 57.4 lb 37.4 deg h ⫽ a/Ⲑg 5.76 ft 28.8 kPa

Chapter 3 3.2 13.7 m Ⲑs 3.4 1a2 ⫺19411 ⫹ x2 ⫹ 62.4 lb Ⲑft3; 1b2 41.2 psi 3.6 ⫺30.0 kPa Ⲑm 3.8 ⫺0.838 psi Ⲑft; 0.0292 psi Ⲑft 3.10 1a2 ⫺2ra 2V02 [1 ⫺ 1a Ⲑx22]Ⲑx3 1b2 p0 ⫹ rV02 [1aⲐx2 2 ⫺ 1a Ⲑx24 Ⲑ2] 3.14 12.0 kPa; ⫺20.1 kPa 3.16 1a2 4.97 lb Ⲑft3; 1b2 0.681 lb Ⲑft3 3.22 3.21 N Ⲑm2 3.24 4.50 kPa 3.26 30 deg 3.28 0.14 in. 3.30 194 mph 3.32 3.26 m 3.36 Tank 1a2 3.38 1248 lb Ⲑft2 3.40 h ⫽ 0 3.44 43.0 psi 3.46 10.7 s 3.48 1a2 0.223 ft; 1b2 9.22 lb Ⲑft2 3.50 3.19 ft 3.52 0.0156 D2Ⲑ[10.124 ⫺ D4]1Ⲑ 2 m3 Ⲑs when D ⬃ m 3.54 2.35 m; 11.9 m 3.56 2.54 ⫻ 10⫺4 m3 Ⲑs 3.58 h ⲐH ⫽ 1 Ⲑ[1 ⫹ 1d ⲐD24] 3.60 1a2 3.98 ft; 1b2 36.0 ft Ⲑs, ⫺510 lb Ⲑft2 3.62 86.3 Pa 3.64 1.31 ft 3.66 ⫺8.11 psi 3.68 1a2 0.0696 m3 Ⲑs; 1b2 0.574 m 3.70 HⲐH0 ⫽ 1Ⲑ11 ⫹ cxⲐL21Ⲑ2, where c ⫽ 2gH2O dmaxⲐrV02

3.72 3.74 3.76 3.78 3.80 3.82 3.84 3.86 3.88 3.92 3.94 3.96 3.98 3.102 3.106 3.108 3.110 3.112

0.0132 m3Ⲑs 0.346 ft3Ⲑs, 7.89 ⫻ 10⫺4 slugsⲐs; 0.0254 lbⲐs 4 0.141 ft3Ⲑs, ⫺499 lbⲐft2, ⫺312 lbⲐft2, ⫺312 lbⲐft2 0.37 m 7.53 ft 1.38 ft3Ⲑs 0.351 ft3Ⲑs 36.5 s 404.5 kPa 9.10 ⫻ 10⫺3 m3Ⲑs; 57.9 kPa 2.00 ⫻ 10⫺4 m3Ⲑs; 0.129 m 155 N Ⲑm2 0.174 m3 Ⲑs 6.10 ⫻ 10⫺3 m3Ⲑs 1.016 in. 3.46 Q0 145 ft3Ⲑs

Chapter 4 4.6 5 ftⲐs; 1x2 ⫹ 8x ⫹ 2521Ⲑ2 ftⲐs 4.8 20 ft Ⲑs for any x, y; ⫺90 deg, ⫺45 deg, 0 deg 4.10 y2 ⫽ x ⫹ c 2 4.12 y ⫽ e1x Ⲑ 2⫺x2 ⫺ 1 4.14 1a2 0.712, ⫺8.50; 1b2 1.69 ft Ⲑs 4.18 x Ⲑh ⫽ 1u0Ⲑv02 3 ln1hⲐ1h ⫺ y2 ⫺ y Ⲑh 4 4.20 10 ft Ⲑs, 9 ft Ⲑs, 6 ft Ⲑs, 4 ft Ⲑs 4.22 ax ⫽ 1V0Ⲑ/2 2x; ay ⫽ 1V0Ⲑ/2 2y 4.24 ax ⫽ x; ay ⫽ 8x 2y 214x2y ⫺ 12; az ⫽ ⫺1x ⫹ 4x 2y 22 4.26 1a2 4 ft Ⲑs2, 2 ft Ⲑs2; 1b2 negative 4.28 10 ft Ⲑs; 10 ft Ⲑs2 4.30 ⫺1.65 ⫻ 1011 ftⲐs2; ⫺5.12 ⫻ 109 4.32 V0 11 ⫺ xⲐ/2 3ce⫺ct ⫺ 1V0Ⲑ/211 ⫺ e⫺ct 2 2 4; c ⫽ 0.490 s⫺1 4.34 ⫺33.8 ftⲐs2; 1.05 4.36 1225x ⫹ 1502 mⲐs2; 0; 1225x ⫹ 1502 m Ⲑs2; 150 mⲐs2; 375 m Ⲑs2 4.42 0, K Ⲑr3 4.44 19V02Ⲑ4a2 sin ␪ cos ␪; 19V02Ⲑ4a2 sin2 ␪; 0 deg; 90 deg 4.46 14V02Ⲑa2 sin ␪ cos ␪; 14V02 Ⲑa2 sin2 ␪ 4.48 1a2 0.4 ft Ⲑs2, 0; 1b2 1.28 ft Ⲑs2, 2.88 ftⲐs2; 1c2 1.34 ft Ⲑs2, 2.88 ftⲐs2 4.50 3.13 ⫻ 10⫺5 mⲐs2; 2.00 ⫻ 10⫺3 mⲐs2 4.52 25,600 ftⲐs2; 25.0 ftⲐs2 4.54 40 miⲐhr 4.56 1a2 2.5 ⬚FⲐhr; 1b2 1.25 ⬚FⲐhr; 1c2 ⫺10 ⬚FⲐhr 4.60 5.0 m3Ⲑs 4.62 132 ft3Ⲑs 4.66 2V0hbⲐ3 4.72 7.14 ˆi slug ⭈ ft Ⲑs2 Chapter 5 5.6 3.66 slugs Ⲑs 5.8 1.70 ft Ⲑs 5.10 decrease

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Answers to Selected Even-Numbered Homework Problems

5.12 5.14 5.16 5.18 5.20 5.22 5.24 5.26 5.30 5.32 5.38 5.40 5.42 5.44 5.46 5.48 5.50 5.52 5.54 5.56 5.58 5.60 5.62 5.64 5.66 5.68 5.70 5.76 5.78 5.80 5.82 5.90 5.92 5.94 5.96 5.100 5.102 5.104 5.108 5.110 5.112 5.114 5.116 5.118 5.120 5.122 5.124 5.126 5.128 5.130 5.132 5.134 5.136 5.138

3.18 ft 0.0125 lbm ft3 229 s 3.63 ft s 1a2 0.711; 1b2 0.791; 1c2 0.837; 1d2 0.866 485 slugs s 1782 U/d 12.2 min 0.51 ft day 3.52 gal flush 1gpf2 2.66  104 m3s 0; 7420 N motion to right 1a2, 1b2, 1c2; motion to left 1d2 70.1 m s; 30,800 N 72,000 N; 67,400 N 6650 lb 28.7 ft3 s 1a2 W1  9.8 lb; 1b2 W2  14.7 lb 185 kN; 45.8 kN 3580 lb 43 lb 13.3 lb 34 1a2 181 lb; 1b2 146 lb 3.94 ft3 s 2.52 ft3 s; 61.2 ft s 8220 lb 1a2 231 N  m; 185 rad s; 1b2 200 N  m; 160 rad s; 1c2 116 N  m; 92.5 rad s 12.8 MW 348 kW turbine; 36.8 1ft  lb2 slug or 1.14 1ft  lb2 lbm No right to left; 0.32 ft 2.17 ft3 s right to left; 0.5 m 0.830 ft3 s 30.4 ft3 s; 36.3 ft3s 9261ft  lb2slug; 2001ft  lb2 slug 2.22 MW 1.21  106 hp 930 kW 303 R; 267 R; 0.88 1.67 ft3 s 16101ft  lb2 slug; 2.02 hp 31.1 hp 1.78 kW 1a2 56%; 1b2 11.7 lb 32,200 lb; 8,190 lb 2.36 ft 1a2 4.29 m s; 17.2 1b2 558 N  m s 1a2 1.11; 1b2 1.08; 1c2 1.06; 1d2 1.05; 1e2 1.04; 1f2 1.03 305 1ft  lb2 lbm; 71% 84.2% 5.16 1ft  lb2 lbm; 86%

ANS-3

Chapter 6 6.2 2x, 4xt 2; 2y, 4yt 2; V  0; a  4ˆi  4jˆ ft s 2; a  5.66 ft s2 6.4 1a2 0; 1b2 v  1y2  z2iˆ  15z22jˆ  1y22kˆ ; No ˆ No 6.6 z  3xy 2 k; 3 x3 6.8 u   x2   f 1y2 2 3 r0v # 6.10 g  r0  ri 6.16 No 6.18 c  Au  Br1 sin u  C y2 6.22 v   f 1x2 2x 6.24 vu  4ru  9r 2 cos u  f 1r2 Ar 2 6.26 1a2 c   C; 1b2 c  A ln r  C 2 6.28 1a2 c  2xy; 1b2 q  2xiyi 6.32 1a2 pA  p0; 1b2 pB  p0 6.34 f  1532x3  5xy2  C 6.36 f  A ln r  Br cos ␪  C; ␪  ␲, r  A B 6.38 60.5 psi 6.40 1a2 Yes; 1b2 Yes, f  21x  y2  C; 1c2 0 6.42 1a2 f  U 10.866x  0.500y2; c  U10.866y  0p 0.500x2; 1b2  g 0y u 1 6.46 1a2 c  m a  b; 1b2 ␪  1.33 rad 2p 6 6.50  0 6.52 1.80 ft m 6.54 y  u, H  0.0250 ft 2pU 6.58 80 mph; 53.3 mph; 40 mph m 6.60 h2  2pA 6.62 1b2 VA  0, VB  68.2 mph 6.64 uA  U  1 H2 ␲ 6.68 Fx  978 lb ft 6.70 1a2  0; 1b2  4␲Ua 6.72 1a2 Fy  34,900 lb; 1b2 Fy  105,000 lb 6.76 0ps 0u  4rU2 sin ␪ cos ␪; ␪ falls in range of 90° 6.80 ␴xx  5.98 kPa, ␴yy  6.02 kPa, ␶xy  45.0 Pa 6.82 1a2 0v 0y  2x; 1b2 a  2x3ˆi ; 1c2 0p 0x  2m  2rx3 6.84 q/  2.3  105 m2 s, t  2.25 Nm2 0p 3mV 6.86   rg 0y h2 6.88 4.98 gal min 6.90 q  1rgh3 sin a2 3m 6.92 u  3 1U1  U2 2 b4y  U2 6.94 yb  1⁄3 6.96 0.355 N  m 6.100 1a2 Re  640 2100; 1b2 180 kPa; 1c2 60.0 N m2

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Answers to Selected Even-Numbered Homework Problems

6.102 vu  R2 vr 6.104 V  1.10  102 ms r i2 rv c1  2 d 6.106 vu  2 2 11  ri ro 2 r ¢p  33.1 lb ft2 per ft 6.108 / 6.110 1a2 42.6%; 1b2 21.7% Chapter 7 7.6 1a2 103 m s; 1b2 444 m s 7.8 k  r  3 pi terms 7.10 1a2 p is halved; 1b2 p is doubled 7.12 pD1 1V2  1D2 D1, D1V2 7.14 p1D5 32  1Q D3 2 7.16 p 1D2 22  1Q D3 2 7.18 h/  f1s/2gr2 7.20 h D  1 D22 7.22 p 1 D2 1for a given velocity2 7.24 d D  1VD ,  V 2D2 7.26 1a2 VD 2rᐃ  f1bd, dD2; 1b2 V  22ᐃb prdD2 7.30 p1 V 22  0.505 1D d23.99 7.32 1a2 H b  f1hb, /b2; 1b2 Hb  0.0833 1hb2 1.00 7.34 1a2 n  1 2; 1b2 Yes 7.38 Colder 7.40 0.963 ft s 7.42 9.49 m s 7.44 sm s  4.44  103 7.46 1170 km hr 7.48 187 mph 7.50 hd  f1Hd, gsgf , mf g12  1gf d 32 22 7.52 1a2 400 km hr; 1b2 170 N 7.54 26.4 lb 7.56 1a2 dm Dm  d D, m pm   p, gmdm3m2 m2  gd 32 2, Vc D   mVcm Dm m; 1b2 VcmVc  0.707 7.58 1a2 drV2D2  f1dD2; 1b2 31.1 lb 7.60 1a2 12 m s; 1b2 900 N 7.62 0.0647 to 0.0971 7.68 1a2 400 N; 1b2 7222 W 7.70 1a2 V/2 Q  f1/i/, Q2 /5g, rQ/m2 ; no 1b2 0.410 gpm; 2.46 in. 7.72 1a2 nD V  1VD n2; 1b2 Yes; 1c2 7.54 ft s 7.74 1a2 Vm Um  VU, Vm Dm nsm  VDns, Vm 2 gm Dm  V2 g D, 1r  rs 2 m rm  1r  rs 2 r; 1b2 no 7.76 1a2 prV 2  f1//i 2 ; 1b2 0.333 ft; 1c2 p  1V Vm22 pm, No 7.78 1rvh2m2 0u* 0t*  0 2u*  0y*2 7.80 0vz*  0t*  p1rR3 1/2m2  0 2 vz*  0r*2  11r*2 0vz*  0r* Chapter 8 8.2 1.0 ft 8.4 blue and yellow streams; green

8.6 8.8 8.10 8.12 8.14 8.16 8.18 8.20 8.22 8.24 8.26 8.28 8.30 8.32 8.38 8.42 8.44 8.46 8.48 8.50 8.52 8.54 8.58 8.60 8.62 8.64 8.66 8.68 8.70 8.72 8.74 8.76 8.78 8.80 8.82 8.84 8.86 8.90 8.94 8.98 8.100 8.102 8.104 8.108 8.110 8.112 8.116 8.118 8.120 8.122 8.124

17.7 ft 0.0883 m 1a2 8.93  104; 1b2 8.93  108 Vmax  2 m s, V  1 m s, Q  1.3  103 m3s 0.15 lbft2, 0.06 lb ft2, 0 lb ft2 from 1b2 to 1a2 0.354 D 3.43 m, 166 kPa 1a2 12.42 kPa; 1b2 15.85 kPa 2.01 ft s D 18.5 m 8.88  108 m3 s 26,300, turbulent 0.00243 ft 0.65 Pa m 0.02 ft ft water out if V  5 ms; air in if V  0.5 ms 1b2 smaller pipe 1a2 34.5 lbft2; 1a2 908 lb ft2 21.0 8.15 ft 1a2 23.8 ft 133 kPa; 39.7 kPa from losses and 93.0 kPa from change in kinetic energy 13.0 0.223 lb ft2 9 disagree aspect ratio equal to 4 0.188 m 0.899 lbft2 1a2 135 ft; 1b2 137 ft No 50.0 m 0.325 psi 16.5 ft 379 kW 0.06 ft3 s 5.73 fts 0.442 ft 0.535 ft 0.031 m by 0.053 m 0.0746 cfs; 0.339 cfs 0.662 ft 0.0284 m3 s; 0.0143 m3s; 0.0141 m3s 24.9 psi 64.8 kPa 0.528 ft3 s 0.115 ft3 s 0.0936 ft3 s

Chapter 9 9.2 1.1 9.4 3.45 kN, 0.560 kN; 3.47 kN, 0.427 kN

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Answers to Selected Even-Numbered Homework Problems

9.6 9.12 9.14 9.16 9.22 9.30 9.36 9.38 9.40 9.42 9.44 9.46 9.48 9.50 9.52 9.54 9.58 9.60 9.62 9.64 9.66 9.68 9.72 9.76 9.78 9.80 9.86 9.90 9.92 9.94 9.96 9.98 9.104 9.106 9.110

Fig. 9.6c 1.12 m, 7.92  103 m 6.65  106 m2 s 7.54  103 ft s; 0.471 ft s; 2.62  105 ft s 1a2 27.6 ft s; 1b2 20.5 mph d  4.121nxU, w  4U 132 Larger by a factor of 4 48.8 lb 10,300 lb 1.4, upright 85.4 kW 2 0.0296 N 12.9 hp 1.06 ms 16.8 ft s 1.10  107 m s, 1.20  107 m s 162 ft ⴢ lb 8,950 N ⴢ m 0.350 hp greater 58.4 hp 180 N 7220 ms2 9.65 lb ft2 0.841 ft s2 41.6 ft s 1a2 0.0166 hp; 1b2 32.4 hp 11.2 ft 0.288 405 lb 1.72 Usea level 19.1 5.72% increase 28.4%

Chapter 10 10.2 25 ms2 10.4 1a2 supercritical; 1b2 supercritical; 1c2 subcritical 10.8 5.66 ft 10.12 8.30 fts 10.14 616 kmhr 10.16 2.45 m; 0.388 m 10.18 1.13 ft; 5.82 ft 10.20 1.77 ft; 1.97 ft 10.24 1.83 ft 10.26 0.694 ft 10.30 0.429 ft 10.34 7.07  105 10.36 0.0126 10.38 5.14 N m2 10.40 0.0169 10.42 9.25 ft3 s 10.44 Yes 10.46 Yes 10.48 40.9 m3 s

10.50 10.54 10.56 10.58 10.60 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 10.78 10.80 10.82 10.84 10.88 10.90 10.92 10.94 10.96 10.98 10.100 10.102 10.104 10.106 10.110

ANS-5

6.22 fts 18.2 m3 s 17.3 m3 s 119 m3 s 1.19 m 0.840 m 2.31 ft Same 2.53 ft; Not possible 8.77 m 0.368 ft 2.21 m 1.64 ft 0.000816 0.000664 0.000269 0.00757 13.7 fts 0.00759 ft3 s 1a2 0.228 ft; 1b2 8.09, 0.223; 1c2 5.15 ft 1.51 m, 12,500 kW upstream 4.36 fts Yes 0.116 m3 s 4.70 ft 0.324 ft hr; 5.53 hr Hr  1.294 ft; Ht  4.39 ft; triangular

Chapter 11 11.4 1a2 71,700 J kg; 1b2 100,000 J kg; 1c2 1.58 kg m3; 1d2 396 J kg ⴢ K 11.10 351 K 11.12 1a2 1520 1ft ⴢ lb2 lbm; 1580 1ft ⴢ lb2 lbm; 1b2 1.52  105 1ft ⴢ lb2lbm; 1.95  105 1ft ⴢ lb2lbm; 1c2 4.56  105 1ft ⴢ lb2lbm; 6.80  105 1ft ⴢ lb2lbm 11.16 Evsteel  2.19  1011 Nm2, cwater  1470 ms, cair  340 ms 11.24 0.625 11.28 1a2 2000 mph; 1b2 2930 ft s; 1c2 893 m s 11.36 1a2 2.34 lbm s; 1b2 2.51 lbm s 11.38 283 m s; 0.89 11.40 269 m s; 0.90 11.46 A2  0.36 m2, p2  23 kPa 1abs2, T2  113 K 11.48 1a2 0.483%; 1b2 1.43%; 1c2 0.445%; 1d2 0.0163% 11.54 increase 11.56 11 psia 11.58 2830 lb ft2 11.60 T1  282 K; p1  95 kPa 1abs2; T01  288 K; p01  101 kPa 1abs2; V1  104 ms; T2  674 K; p2  45 kPa 1abs2; T02  786 K; p02  84.9 kPa 1abs2; V2  520 ms 11.62 404 kPa 1abs2; 81.19 K; 31 m s 11.66 2.29 11.68 1.9; 648 m s 11.70 394 K; 82 kPa 1abs2 11.72 1160 R; 132 psia; 26.1 lbm s

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ANS-6 11.74 11.76

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Answers to Selected Even-Numbered Homework Problems

1.35 m at duct entrance T  130 K; p  6.0 kPa 1abs2; T0  293 K; p0  101 kPa 1abs2; V  571 m s; just upstream of shock T  296 K; p  17 kPa 1abs2; T0  396 K; p0  47.7 kPa 1abs2; V  448 m s; just downstream of shock T  354 K; p  30.8 kPa 1abs2; T0  396 K; p0  46.4 kPa 1abs2; V  299 m s; at duct exit T  351 K; p  26.6 kPa 1abs2; T0  407 K; p0  45.9 kPa 1abs2; V  337 m s

Chapter 12 12.4 pump 12.8 BG, 1ft ⴢ lb2 slug; hp; SI, 1N ⴢ m2 kg or J kg; J s or watt 1W2; EE, 1ft ⴢ lb2 lbm; hp 12.10 10.8 lb ft2; turbine 12.16 turbine and pump 12.18 379 1ft ⴢ lb2 lbm

12.20 12.22 12.24 12.28 12.30 12.34 12.36 12.38 12.42 12.44 12.46 12.48 12.54 12.56 12.62 12.66 12.68 12.70

1b2 891 ft ⴢ lb; 0 rpm 1.84 hp 11.5 m increase to 8.43 ft 1a2 2.07 kW; 1b2 12.6 m 365 gpm 255 gpm; no 1a2 0.0529 m3 s; 1b2 13% 0.0328 m3 s; 8 m Yes 1000 gpm; 800 ft 671 at maximum efficiency mixed-flow 6.4 hp; 163 ft2 s2 0.0109 ft3 s; 0.150 ft ⴢ lb; 0.0409 hp 23,200 kW 41,000 hp Francis; 378 ft3s