fluid_mechanics
ANS-2 Answers to Selected Even-Numbered Homework Problems 2.70 3.55 m 2.72 1a2 2.11 m; 1b2 941 kN 2.74 78.5 kN; 2.03 m below free surface 2.76 102 ft lb 2.78 48.2 ft; 61.1 ft; 71.8 ft; 81.1 ft; 89.1 ft 2.84 20,200 lb 2.86 7.77 10 9 lb acting 406 ft up from base of dam 2.88 64.4 kN 2.90 60.8 kN; 0.100 m below center of tank end wall 2.92 337 lb, 882 lb 2.94 485 kN 2.98 1a2 786,000 lb; 1b2 315,000 lb 2.100 54,600 lb 2.104 2480 kg 2.106 681 lb up; 6.22 ft to right of A 2.108 89.5 2.110 8.63 fts 2 2.112 1a2 68.9 lbft 2 ; 1b2 57.4 lb 2.114 37.4 deg 2.116 h a/g 2.118 5.76 ft 2.120 28.8 kPa Chapter 3 3.2 13.7 ms 3.4 1a2 19411 x2 62.4 lbft 3 ; 1b2 41.2 psi 3.6 30.0 kPam 3.8 0.838 psift; 0.0292 psift 3.10 1a2 2ra 2 V 2 0 [1 1ax2 2 ] x 3 1b2 p 0 rV 2 0 [1ax2 2 1ax2 4 2] 3.14 12.0 kPa; 20.1 kPa 3.16 1a2 4.97 lbft 3 ; 1b2 0.681 lbft 3 3.22 3.21 Nm 2 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 lbft 2 3.40 h 0 3.44 43.0 psi 3.46 10.7 s 3.48 1a2 0.223 ft; 1b2 9.22 lbft 2 3.50 3.19 ft 3.52 0.0156 D 2 [10.12 4 D 4 12 ] m 3 s when D m 3.54 2.35 m; 11.9 m 3.56 2.54 10 4 m 3 s 3.58 hH 1 [1 1dD2 4 ] 3.60 1a2 3.98 ft; 1b2 36.0 fts, 510 lbft 2 3.62 86.3 Pa 3.64 1.31 ft 3.66 8.11 psi 3.68 1a2 0.0696 m 3 s; 1b2 0.574 m 3.70 HH 0 111 cxL2 12 , where 2 c 2g H2 O d maxrV 0 3.72 0.0132 m 3 s 3.74 0.346 ft 3 s, 7.89 10 4 slugss; 0.0254 lbs 3.76 4 3.78 0.141 ft 3 s, 499 lbft 2 , 312 lbft 2 , 312 lbft 2 3.80 0.37 m 3.82 7.53 ft 3.84 1.38 ft 3 s 3.86 0.351 ft 3 s 3.88 36.5 s 3.92 404.5 kPa 3.94 9.10 10 3 m 3 s; 57.9 kPa 3.96 2.00 10 4 m 3 s; 0.129 m 3.98 155 Nm 2 3.102 0.174 m 3 s 3.106 6.10 10 3 m 3 s 3.108 1.016 in. 3.110 3.46 Q 0 3.112 145 ft 3 s Chapter 4 4.6 5 fts; 1x 2 8x 252 12 fts 4.8 20 fts for any x, y; 90 deg, 45 deg, 0 deg 4.10 y 2 x c 4.12 y e 1x2 2x2 1 4.14 1a2 0.712, 8.50; 1b2 1.69 fts 4.18 xh 1u 0 v 0 23ln1h1h y2 yh 4 4.20 10 fts, 9 fts, 6 fts, 4 fts 4.22 a ; a y 1V 0/2 2 x 1V 0/2 2 x y 4.24 a x x; a y 8x 2 y 2 14x 2 y 12; a z 1x 4x 2 y 2 2 4.26 1a2 4 fts 2 , 2 fts 2 ; 1b2 negative 4.28 10 fts; 10 fts 2 4.30 1.65 10 11 fts 2 ; 5.12 10 9 4.32 V 0 11 x/23ce ct 1V 0/211 e ct 2 2 4; c 0.490 s 1 4.34 33.8 fts 2 ; 1.05 4.36 1225x 1502 ms 2 ; 0; 1225x 1502 ms 2 ; 150 ms 2 ; 375 ms 2 4.42 0, Kr 3 4.44 19V 2 0 4a2 sin cos ; 19V 2 0 4a2 sin 2 ; 0 deg; 90 deg 4.46 14V0 2 a2 sin cos ; 14V 2 0 a2 sin 2 4.48 1a2 0.4 fts 2 , 0; 1b2 1.28 fts 2 , 2.88 fts 2 ; 1c2 1.34 fts 2 , 2.88 fts 2 4.50 3.13 10 5 ms 2 ; 2.00 10 3 ms 2 4.52 25,600 fts 2 ; 25.0 fts 2 4.54 40 mihr 4.56 1a2 2.5 Fhr; 1b2 1.25 Fhr; 1c2 10 Fhr 4.60 5.0 m 3 s 4.62 132 ft 3 s 4.66 2V 0 hb 3 4.72 7.14 î slug ft s 2 Chapter 5 5.6 3.66 slugss 5.8 1.70 fts 5.10 decrease
Answers to Selected Even-Numbered Homework Problems ANS-3 5.12 3.18 ft 5.14 0.0125 lbmft 3 5.16 229 s 5.18 3.63 fts 5.20 1a2 0.711; 1b2 0.791; 1c2 0.837; 1d2 0.866 5.22 485 slugss 5.24 1782 U/d 5.26 12.2 min 5.30 0.51 ftday 5.32 3.52 galflush 1gpf2 5.38 2.66 10 4 m 3 s 5.40 0; 7420 N 5.42 motion to right 1a2, 1b2, 1c2; motion to left 1d2 5.44 70.1 ms; 30,800 N 5.46 72,000 N; 67,400 N 5.48 6650 lb 5.50 28.7 ft 3 s 5.52 1a2 W 1 9.8 lb; 1b2 W 2 14.7 lb 5.54 185 kN; 45.8 kN 5.56 3580 lb 5.58 43 lb 5.60 13.3 lb 5.62 34 5.64 1a2 181 lb; 1b2 146 lb 5.66 3.94 ft 3 s 5.68 2.52 ft 3 s; 61.2 fts 5.70 8220 lb 5.76 1a2 231 N m; 185 rads; 1b2 200 N m; 160 rads; 1c2 116 N m; 92.5 rads 5.78 12.8 MW 5.80 348 kW 5.82 turbine; 36.8 1ft lb2slug or 1.14 1ft lb2lbm 5.90 No 5.92 right to left; 0.32 ft 5.94 2.17 ft 3 s 5.96 right to left; 0.5 m 5.100 0.830 ft 3 s 5.102 30.4 ft 3 s; 36.3 ft 3 s 5.104 9261ft lb2slug; 2001ft lb2slug 5.108 2.22 MW 5.110 1.21 10 6 hp 5.112 930 kW 5.114 303 R; 267 R; 0.88 5.116 1.67 ft 3 s 5.118 16101ft lb2slug; 2.02 hp 5.120 31.1 hp 5.122 1.78 kW 5.124 1a2 56%; 1b2 11.7 lb 5.126 32,200 lb; 8,190 lb 5.128 2.36 ft 5.130 1a2 4.29 ms; 17.2 1b2 558 N ms 5.132 1a2 1.11; 1b2 1.08; 1c2 1.06; 1d2 1.05; 1e2 1.04; 1f2 1.03 5.134 305 1ft lb2lbm; 71% 5.136 84.2% 5.138 5.16 1ft lb2lbm; 86% Chapter 6 6.2 2x, 4xt 2 ; 2y, 4yt 2 ; V 0; a 4î 4ĵ fts 2 ; a 5.66 fts 2 6.4 1a2 0; 1b2 v 1y2 z2î 15z22ĵ 1y22kˆ ; No 6.6 z 3xy 2 ˆk; No 6.8 u 3 2 x2 x3 3 f 1y2 6.10 g # r 0v r 0 r i 6.16 No 6.18 c Au Br 1 sin u C 6.22 v y2 2x f 1x2 6.24 v u 4ru 9r 2 cos u f 1r2 6.26 1a2 c Ar 2 C; 1b2 c A ln r C 2 6.28 1a2 c 2xy; 1b2 q 2x i y i 6.32 1a2 p A p 0 ; 1b2 p B p 0 6.34 f 1532x 3 5xy 2 C 6.36 f A ln r Br cos C; , r AB 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 0y g 6.46 1a2 c m a u ; 1b2 1.33 rad 2p 1 6 b 6.50 0 6.52 1.80 ft 6.54 y m , H 0.0250 ft 2pU u 6.58 80 mph; 53.3 mph; 40 mph 6.60 h 2 m 2pA 6.62 1b2 V A 0, V B 68.2 mph 6.64 u A U 1H2 6.68 F x 978 lbft 6.70 1a2 0; 1b2 4Ua 6.72 1a2 F y 34,900 lb; 1b2 F y 105,000 lb 6.76 0p s0u 4rU 2 sin cos ; falls in range of 90° 6.80 xx 5.98 kPa, yy 6.02 kPa, xy 45.0 Pa 6.82 1a2 0v0y 2x; 1b2 a 2x 3 î; 1c2 0p0x 2m 2rx 3 6.84 q/ 2.3 10 5 m 2 s, t 2.25 Nm 2 0p 6.86 0y 3mV rg h 2 6.88 4.98 galmin 6.90 q 1rgh 3 sin a23m 6.92 u 31U 1 U 2 2b4y U 2 6.94 yb 1 ⁄3 6.96 0.355 N m 6.100 1a2 Re 640 2100; 1b2 180 kPa; 1c2 60.0 Nm 2
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- Page 726 and 727: 702 Appendix A ■ Computational Fl
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- Page 746 and 747: 722 Appendix D ■ Compressible Flo
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- Page 751: Answers to Selected Even-Numbered H
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- Page 759 and 760: Index I-3 guidelines for selection,
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- Page 763 and 764: Index I-7 piezometer tube, 50, 105,
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Answers to Selected Even-Numbered Homework Problems<br />
ANS-3<br />
5.12 3.18 ft<br />
5.14 0.0125 lbmft 3<br />
5.16 229 s<br />
5.18 3.63 fts<br />
5.20 1a2 0.711; 1b2 0.791; 1c2 0.837; 1d2 0.866<br />
5.22 485 slugss<br />
5.24 1782 U/d<br />
5.26 12.2 min<br />
5.30 0.51 ftday<br />
5.32 3.52 galflush 1gpf2<br />
5.38 2.66 10 4 m 3 s<br />
5.40 0; 7420 N<br />
5.42 motion to right 1a2, 1b2, 1c2; motion to left 1d2<br />
5.44 70.1 ms; 30,800 N<br />
5.46 72,000 N; 67,400 N<br />
5.48 6650 lb<br />
5.50 28.7 ft 3 s<br />
5.52 1a2 W 1 9.8 lb; 1b2 W 2 14.7 lb<br />
5.54 185 kN; 45.8 kN<br />
5.56 3580 lb<br />
5.58 43 lb<br />
5.60 13.3 lb<br />
5.62 34 <br />
5.64 1a2 181 lb; 1b2 146 lb<br />
5.66 3.94 ft 3 s<br />
5.68 2.52 ft 3 s; 61.2 fts<br />
5.70 8220 lb<br />
5.76 1a2 231 N m; 185 rads; 1b2 200 N m;<br />
160 rads; 1c2 116 N m; 92.5 rads<br />
5.78 12.8 MW<br />
5.80 348 kW<br />
5.82 turbine; 36.8 1ft lb2slug or 1.14 1ft lb2lbm<br />
5.90 No<br />
5.92 right to left; 0.32 ft<br />
5.94 2.17 ft 3 s<br />
5.96 right to left; 0.5 m<br />
5.100 0.830 ft 3 s<br />
5.102 30.4 ft 3 <br />
s; 36.3 ft 3 s<br />
5.104 9261ft lb2slug; 2001ft lb2slug<br />
5.108 2.22 MW<br />
5.110 1.21 10 6 hp<br />
5.112 930 kW<br />
5.114 303 R; 267 R; 0.88<br />
5.116 1.67 ft 3 s<br />
5.118 16101ft lb2slug; 2.02 hp<br />
5.120 31.1 hp<br />
5.122 1.78 kW<br />
5.124 1a2 56%; 1b2 11.7 lb<br />
5.126 32,200 lb; 8,190 lb<br />
5.128 2.36 ft<br />
5.130 1a2 4.29 ms; 17.2 1b2 558 N ms <br />
5.132 1a2 1.11; 1b2 1.08; 1c2 1.06; 1d2 1.05; 1e2 1.04;<br />
1f2 1.03<br />
5.134 305 1ft lb2lbm; 71%<br />
5.136 84.2%<br />
5.138 5.16 1ft lb2lbm; 86%<br />
Chapter 6<br />
6.2 2x, 4xt 2 ; 2y, 4yt 2 ; V 0; a 4î<br />
4ĵ<br />
fts 2 ;<br />
a 5.66 fts 2<br />
6.4 1a2 0; 1b2 v 1y2 z2î 15z22ĵ 1y22kˆ ;<br />
No<br />
6.6 z 3xy 2 ˆk; No<br />
6.8 u 3 2 x2 x3<br />
3 f 1y2<br />
6.10 g # r 0v<br />
r 0 r i<br />
6.16 No<br />
6.18 c Au Br 1 sin u C<br />
6.22 v y2<br />
2x f 1x2<br />
6.24 v u 4ru 9r 2 cos u f 1r2<br />
6.26 1a2 c Ar 2<br />
C; 1b2 c A ln r C<br />
2<br />
6.28 1a2 c 2xy; 1b2 q 2x i y i<br />
6.32 1a2 p A p 0 ; 1b2 p B p 0<br />
6.34 f 1532x 3 5xy 2 C<br />
6.36 f A ln r Br cos C; , r AB <br />
6.38 60.5 psi<br />
6.40 1a2 Yes; 1b2 Yes, f 21x y2 C; 1c2 0<br />
6.42 1a2 f U 10.866x 0.500y2; c U10.866y <br />
0p<br />
0.500x2; 1b2<br />
0y g<br />
6.46 1a2 c m a u ; 1b2 1.33 rad<br />
2p 1 6 b<br />
6.50 0<br />
6.52 1.80 ft<br />
6.54 y <br />
m , H 0.0250 ft<br />
2pU u<br />
6.58 80 mph; 53.3 mph; 40 mph<br />
6.60 h 2 <br />
m<br />
2pA<br />
6.62 1b2 V A 0, V B 68.2 mph<br />
6.64 u A U 1H2<br />
6.68 F x 978 lbft<br />
6.70 1a2 0; 1b2 4Ua<br />
6.72 1a2 F y 34,900 lb; 1b2 F y 105,000 lb<br />
6.76 0p s0u 4rU 2 sin cos ; falls in range<br />
of 90°<br />
6.80 xx 5.98 kPa, yy 6.02 kPa, xy 45.0 Pa<br />
6.82 1a2 0v0y 2x; 1b2 a 2x 3 î; 1c2 0p0x <br />
2m 2rx 3<br />
6.84 q/ 2.3 10 5 m 2 s, t 2.25 Nm 2<br />
0p<br />
6.86<br />
0y 3mV rg<br />
h 2<br />
6.88 4.98 galmin<br />
6.90 q 1rgh 3 sin a23m<br />
6.92 u 31U 1 U 2 2b4y U 2<br />
6.94 yb 1<br />
⁄3<br />
6.96 0.355 N m<br />
6.100 1a2 Re 640 2100; 1b2 180 kPa; 1c2 60.0 Nm 2
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