We have a cylinder 25 cm in diameter fitted with a rod 5 cm in diameter. diameter and subjected to a pressure of 200 kPa? a) Calculate the effective area of thrust. [Answer:0.049 m2] b) Calculate the effective area of traction. [Answer:0.047 m2] c) Calculate the thrust force of the jack. [Answer:9800N]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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We have a cylinder 25 cm in diameter fitted with a rod 5 cm in diameter.
diameter and subjected to a pressure of 200 kPa?
a) Calculate the effective area of thrust. [Answer:0.049 m2]
b) Calculate the effective area of traction. [Answer:0.047 m2]
c) Calculate the thrust force of the jack. [Answer:9800N]

Piston Rod
Dia., Dia.,
In.
In.
1½
1%
2
2½
3
3%
3½
4
сл
6
7
8
10
12
14
None
5/8
1
None
5/8
1%
5/8
1
None
5/8
1
1%
None 3.14
2.83
2.35
None
1
1%
None
1
1:36
1%
Effec.
Area,
Sq. In.
1
196
1%
1.77
1.46
.985
22 223
2.41
2.10
1.18
4.91
4.60
4.12
3.43
7.07
6.28
4.66
8.30
7.51
60 70
PSI
PSI
2½ 108.2
106
88
59
144
126
71
168
147
83
124 142 159
102
69
188 220
170
141
80
PSI
198
165
90 100 110 120 130
PSI PSI PSI PSI PSI
117 132 146
79
98
89
192 216
168 189
95
106
251 283
227
255
188
212
177 195 212
161
176
108
118
295 344 393 442
276 322
368
414
247 289
330 371
206 240 274
308
241
265 289
210 231 252
118
130
142
565 636 707
628
280
420 466
424 495
377 440 503 565
326 373
581 664 747 830
526 601 676
409 477 545 613
498
913
996
451
751
827
902
6.82
681 750 818
589 648
707
5.89
None 9.62
1 8.84
None 12.57
1178 1296 1415
1532
813
None
1
1997 2179
354 413 472 531
577 674 770 866
530 618 707 795
754 880 1006 1131 1257 1382 1508 1634
11.78 707 825 943 1061
11.09 665 776 887 998 1109 1219 1330
10.16 610 712
915 1016
1118 1220
19.64 1178 1375 1571 1768 1964 2160 2357
18.85 1131 1320 1508 1697 1885 2074 2263
13 18.16 1089 1271 1452 1634 1816
None 28.27 1696 1979 2262 2544 2827
136 26.79 1607 1875
1% 25.90 1552 1811 2069 2328 2586 2845 3104 3362
None 38.49 2309 2694 3079 3464 3849 4234 4619 5004
1% 37.01 2220 2590 2960 3331 3701 4071 4441 4811
None 50.27 3016 3519 4022 4524 5027 5530 6032 6535
19 48.79 2927 3415 3903 4391 4879 5366 5854 6342
1% 47.90 2872 3351 3829 4308 4786 5265 5744 6222
None 78.54 4712 5498 6283 7069
7854
1% 76.14 4568 5329 6091 6852 7614
75.40 4524
3675
3110 3392
2:43 2411 2679 2946 3214
3482
8639 9425 10210
8375 9136 9898
2
5278 6032 6786 7540 8294 9048 9802
None 113.1. 6786 7917 9048 10179 11310 12441 13572 14703
7697 8797 9896 10996 12095 13195 14295
6491 7573 8655 9737 10819 11901 12983 14075
110.0 6598
491
540
589
460
506
552
412 454 495
343
377
411
314
345 377 408
283
312 340
368
235 259 283
306
230
190
128
962
884
313
273
154
778
848
691 754
513 560
638
598
536
445
919
817
606
1079
977
886
766
1058 1155 1251
972
1060
1149
1441
1321
2553
2451
2360
None 153.9 9234 10773 12312 13851 15390 16929 18468 20007
2½ 149.0 8939 10429 11919 13409 14899 16389 17879 19369
146.8 8810 10278 11747 13215 14683 16151 17620 19088
Transcribed Image Text:Piston Rod Dia., Dia., In. In. 1½ 1% 2 2½ 3 3% 3½ 4 сл 6 7 8 10 12 14 None 5/8 1 None 5/8 1% 5/8 1 None 5/8 1 1% None 3.14 2.83 2.35 None 1 1% None 1 1:36 1% Effec. Area, Sq. In. 1 196 1% 1.77 1.46 .985 22 223 2.41 2.10 1.18 4.91 4.60 4.12 3.43 7.07 6.28 4.66 8.30 7.51 60 70 PSI PSI 2½ 108.2 106 88 59 144 126 71 168 147 83 124 142 159 102 69 188 220 170 141 80 PSI 198 165 90 100 110 120 130 PSI PSI PSI PSI PSI 117 132 146 79 98 89 192 216 168 189 95 106 251 283 227 255 188 212 177 195 212 161 176 108 118 295 344 393 442 276 322 368 414 247 289 330 371 206 240 274 308 241 265 289 210 231 252 118 130 142 565 636 707 628 280 420 466 424 495 377 440 503 565 326 373 581 664 747 830 526 601 676 409 477 545 613 498 913 996 451 751 827 902 6.82 681 750 818 589 648 707 5.89 None 9.62 1 8.84 None 12.57 1178 1296 1415 1532 813 None 1 1997 2179 354 413 472 531 577 674 770 866 530 618 707 795 754 880 1006 1131 1257 1382 1508 1634 11.78 707 825 943 1061 11.09 665 776 887 998 1109 1219 1330 10.16 610 712 915 1016 1118 1220 19.64 1178 1375 1571 1768 1964 2160 2357 18.85 1131 1320 1508 1697 1885 2074 2263 13 18.16 1089 1271 1452 1634 1816 None 28.27 1696 1979 2262 2544 2827 136 26.79 1607 1875 1% 25.90 1552 1811 2069 2328 2586 2845 3104 3362 None 38.49 2309 2694 3079 3464 3849 4234 4619 5004 1% 37.01 2220 2590 2960 3331 3701 4071 4441 4811 None 50.27 3016 3519 4022 4524 5027 5530 6032 6535 19 48.79 2927 3415 3903 4391 4879 5366 5854 6342 1% 47.90 2872 3351 3829 4308 4786 5265 5744 6222 None 78.54 4712 5498 6283 7069 7854 1% 76.14 4568 5329 6091 6852 7614 75.40 4524 3675 3110 3392 2:43 2411 2679 2946 3214 3482 8639 9425 10210 8375 9136 9898 2 5278 6032 6786 7540 8294 9048 9802 None 113.1. 6786 7917 9048 10179 11310 12441 13572 14703 7697 8797 9896 10996 12095 13195 14295 6491 7573 8655 9737 10819 11901 12983 14075 110.0 6598 491 540 589 460 506 552 412 454 495 343 377 411 314 345 377 408 283 312 340 368 235 259 283 306 230 190 128 962 884 313 273 154 778 848 691 754 513 560 638 598 536 445 919 817 606 1079 977 886 766 1058 1155 1251 972 1060 1149 1441 1321 2553 2451 2360 None 153.9 9234 10773 12312 13851 15390 16929 18468 20007 2½ 149.0 8939 10429 11919 13409 14899 16389 17879 19369 146.8 8810 10278 11747 13215 14683 16151 17620 19088
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