perhitungan ayunan puntir auto saved)

37
pjng tali waktu (s) Ti Ti^2 Ki 150 128.94 6.447 41.563809 0.00325555221371 140 123.47 6.1735 38.11210225 0.00355039849317 130 118.94 5.947 35.366809 0.00382599262489 120 113.29 5.6645 32.08656025 0.00421712858423 110 111.94 5.597 31.326409 0.00431945935457 100 112.81 5.6405 31.81524025 0.00425309220791 90 102.59 5.1295 26.31177025 0.00514268516008 80 97.21 4.8605 23.62446025 0.00572767161527 0.03429198025382 K rata2 0.0042864975317 ∆K 0.00028765709993 Kes Relatif (%) 6.71077260478342 L (X) T^2 (Y) 150 41.563809 140 38.11210225 130 35.366809 120 32.08656025 110 31.326409 100 31.81524025 90 26.31177025 80 23.62446025

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Page 1: Perhitungan Ayunan Puntir Auto Saved)

pjng tali waktu (s) Ti Ti^2 Ki Krata2150 128.94 6.447 41.563809 0.00325555221371 0.0042864975140 123.47 6.1735 38.11210225 0.00355039849317 0.0042864975130 118.94 5.947 35.366809 0.00382599262489 0.0042864975120 113.29 5.6645 32.08656025 0.00421712858423 0.0042864975110 111.94 5.597 31.326409 0.00431945935457 0.0042864975100 112.81 5.6405 31.81524025 0.00425309220791 0.0042864975

90 102.59 5.1295 26.31177025 0.00514268516008 0.004286497580 97.21 4.8605 23.62446025 0.00572767161527 0.0042864975

∑ 0.03429198025382

K rata2 0.0042864975317 ∆K0.00028765709993

Kes Relatif (%) 929916840540.446.71077260478343

L (X) T^2 (Y)150 41.563809140 38.11210225130 35.366809120 32.08656025110 31.326409100 31.81524025

90 26.3117702580 23.62446025

Page 2: Perhitungan Ayunan Puntir Auto Saved)

Ki-Krata2 (Ki-Krata2)^2 Ic-0.001030945286 1.0628481833E-06 8.274660714E-08 0.003431-0.000736099007 5.4184174785E-07-0.000460504875 2.1206474E-07

-6.936891577E-05 4.8120464746E-093.296185457E-05 1.0864838564E-09 0.003431

-3.340529209E-05 1.1159135397E-090.0008561876601 7.3305730927E-070.0014411741153 2.0769828305E-06

4.6338092548E-06

0.00325555221370.00355039849320.00382599262490.00421712858420.00431945935460.00425309220790.00514268516010.0057276716153

Page 3: Perhitungan Ayunan Puntir Auto Saved)

FILAMEN suhu naikY X y kuadrat x kuadrat

rt r0 T T0 rt-r0 R0 (T - T0)35.1 38 6 28 -2.9 -836 8.41 69889635.2 38 7 28 -2.8 -798 7.84 63680435.3 38 8 28 -2.7 -760 7.29 57760035.5 38 9 28 -2.5 -722 6.25 52128435.7 38 10 28 -2.3 -684 5.29 46785635.9 38 11 28 -2.1 -646 4.41 417316

36 38 12 28 -2 -608 4 36966436.1 38 13 28 -1.9 -570 3.61 32490036.4 38 14 28 -1.6 -532 2.56 28302436.6 38 15 28 -1.4 -494 1.96 24403636.4 38 16 28 -1.6 -456 2.56 20793636.3 38 17 28 -1.7 -418 2.89 17472436.9 38 18 28 -1.1 -380 1.21 14440036.8 38 19 28 -1.2 -342 1.44 11696436.7 38 20 28 -1.3 -304 1.69 9241637.4 38 21 28 -0.6 -266 0.36 7075637.3 38 22 28 -0.7 -228 0.49 5198436.9 38 23 28 -1.1 -190 1.21 3610036.9 38 24 28 -1.1 -152 1.21 2310436.9 38 25 28 -1.1 -114 1.21 1299637.2 38 26 28 -0.8 -76 0.64 577637.8 38 27 28 -0.2 -38 0.04 1444

-34.7 -9614 66.57 5479980

Y X y kuadrat x kuadratrt r0 T T0 rt-r0 R0 (T - T0)

1926 921 6 28 0.737741 0.130952380952381 0.544261 0.0171491872 921 7 28 0.709303 0.107142857142857 0.50311 0.011481795 921 8 28 0.6673 0.0892857142857143 0.44529 0.0079721745 921 9 28 0.63905 0.0753968253968254 0.408385 0.0056851692 921 10 28 0.608207 0.0642857142857143 0.369915 0.004133

Page 4: Perhitungan Ayunan Puntir Auto Saved)

1621 921 11 28 0.565338 0.0551948051948052 0.319608 0.0030461566 921 12 28 0.53082 0.0476190476190476 0.28177 0.0022681489 921 13 28 0.4804 0.0412087912087912 0.230784 0.0016981395 921 14 28 0.41519 0.0357142857142857 0.172382 0.0012761342 921 15 28 0.376456 0.030952380952381 0.141719 0.0009581279 921 16 28 0.328374 0.0267857142857143 0.107829 0.0007171251 921 17 28 0.306238 0.023109243697479 0.093782 0.0005341216 921 18 28 0.277862 0.0198412698412698 0.077207 0.0003941172 921 19 28 0.241007 0.0169172932330827 0.058084 0.0002861137 921 20 28 0.210688 0.0142857142857143 0.04439 0.0002041155 921 21 28 0.226396 0.0119047619047619 0.051255 0.0001421051 921 22 28 0.132037 0.00974025974025974 0.017434 9.487E-051041 921 23 28 0.122477 0.0077639751552795 0.015001 6.028E-051019 921 24 28 0.101117 0.00595238095238095 0.010225 3.543E-051006 921 25 28 0.088277 0.00428571428571429 0.007793 1.837E-05

973 921 26 28 0.054924 0.00274725274725275 0.003017 7.547E-06942 921 27 28 0.022545 0.00132275132275132 0.000508 1.75E-06

7.841747 0.822409134204463 3.903749 0.058159

Page 5: Perhitungan Ayunan Puntir Auto Saved)

x.y m b

2424.4 0.00287527118190733 -0.320779 0.003469 0.004323 7.3033397E-072234.4 0.003509 0.004323 6.6377419E-07

2052 0.003553 0.004323 5.942309E-07 sm1805 0.003463 0.004323 7.4113406E-07

1573.2 0.003363 0.004323 9.233715E-071356.6 0.003251 0.004323 1.150731E-06

1216 0.003289 0.004323 1.0692007E-061083 0.003333 0.004323 9.8042074E-07

851.2 0.003008 0.004323 1.7317942E-06691.6 0.002834 0.004323 2.2185722E-06729.6 0.003509 0.004323 6.6377419E-07710.6 0.004067 0.004323 6.5797209E-08

418 0.002895 0.004323 2.0413508E-06410.4 0.003509 0.004323 6.6377419E-07395.2 0.004276 0.004323 2.2259074E-09159.6 0.002256 0.004323 4.2760293E-06159.6 0.00307 0.004323 1.5708107E-06

209 0.005789 0.004323 2.1490926E-06167.2 0.007237 0.004323 8.4875895E-06125.4 0.009649 0.004323 2.8362308E-05

60.8 0.010526 0.004323 3.8474982E-057.6 0.005263 0.004323 8.8296577E-07

18840.4 9.8444264E-050.004323 0.00046160895

0.00138482685

32.03026

x.y m b

0.096609 5.96930858032419 0.133297 5.633655 12.99908 54.24943917510.075997 6.620158 12.99908 40.6906104367

0.05958 7.473763 12.99908 30.52909536640.048182 8.475818 12.99908 20.45986869830.039099 9.46099 12.99908 12.5180592998

Page 6: Perhitungan Ayunan Puntir Auto Saved)

0.031204 10.2426 12.99908 7.598148179160.025277 11.14722 12.99908 3.429386827920.019797 11.65771 12.99908 1.799274645630.014828 11.62531 12.99908 1.887234648320.011652 12.16243 12.99908 0.699972032980.008796 12.25929 12.99908 0.547288914010.007077 13.25177 12.99908 0.063855753250.005513 14.00425 12.99908 1.010364936480.004077 14.24619 12.99908 1.55528492739

0.00301 14.74819 12.99908 3.059403314770.002695 19.01723 12.99908 36.21815671120.001286 13.55583 12.99908 0.309977249670.000951 15.77504 12.99908 7.705980305870.000602 16.98766 12.99908 15.90875825030.000378 20.59804 12.99908 57.74423885830.000151 19.99235 12.99908 48.9059050599

2.982E-05 17.0442 12.99908 16.36302133970.456791 363.253324931

12.99908 0.886714502012.66014350603

20.4641

Page 7: Perhitungan Ayunan Puntir Auto Saved)

0.0633851

0.0074869

Page 8: Perhitungan Ayunan Puntir Auto Saved)

FILAMEN suhu naikY X y kuadrat x kuadrat x.y m

rt r0 T T0 rt-r0 R0 (T - T0)48.2 38 83 28 10.2 2090 104.04 4368100 21318 0.00463947.5 38 82 28 9.5 2052 90.25 4210704 1949447.4 38 81 28 9.4 2014 88.36 4056196 18931.647.2 38 80 28 9.2 1976 84.64 3904576 18179.246.9 38 79 28 8.9 1938 79.21 3755844 17248.246.7 38 78 28 8.7 1900 75.69 3610000 1653046.6 38 77 28 8.6 1862 73.96 3467044 16013.246.4 38 76 28 8.4 1824 70.56 3326976 15321.646.3 38 75 28 8.3 1786 68.89 3189796 14823.846.2 38 74 28 8.2 1748 67.24 3055504 14333.6

46 38 73 28 8 1710 64 2924100 1368045.8 38 72 28 7.8 1672 60.84 2795584 13041.645.5 38 71 28 7.5 1634 56.25 2669956 1225545.3 38 70 28 7.3 1596 53.29 2547216 11650.845.1 38 69 28 7.1 1558 50.41 2427364 11061.844.9 38 68 28 6.9 1520 47.61 2310400 1048844.9 38 67 28 6.9 1482 47.61 2196324 10225.844.7 38 66 28 6.7 1444 44.89 2085136 9674.844.4 38 65 28 6.4 1406 40.96 1976836 8998.444.2 38 64 28 6.2 1368 38.44 1871424 8481.6

44 38 63 28 6 1330 36 1768900 798043.8 38 62 28 5.8 1292 33.64 1669264 7493.643.5 38 61 28 5.5 1254 30.25 1572516 689743.2 38 60 28 5.2 1216 27.04 1478656 6323.2

43 38 59 28 5 1178 25 1387684 589042.8 38 58 28 4.8 1140 23.04 1299600 547242.7 38 57 28 4.7 1102 22.09 1214404 5179.442.4 38 56 28 4.4 1064 19.36 1132096 4681.642.3 38 55 28 4.3 1026 18.49 1052676 4411.842.2 38 54 28 4.2 988 17.64 976144 4149.6

42 38 53 28 4 950 16 902500 380041.8 38 52 28 3.8 912 14.44 831744 3465.641.7 38 51 28 3.7 874 13.69 763876 3233.841.6 38 50 28 3.6 836 12.96 698896 3009.641.5 38 49 28 3.5 798 12.25 636804 279341.2 38 48 28 3.2 760 10.24 577600 243240.9 38 47 28 2.9 722 8.41 521284 2093.840.8 38 46 28 2.8 684 7.84 467856 1915.240.7 38 45 28 2.7 646 7.29 417316 1744.240.7 38 44 28 2.7 608 7.29 369664 1641.640.7 38 43 28 2.7 570 7.29 324900 153940.6 38 42 28 2.6 532 6.76 283024 1383.240.5 38 41 28 2.5 494 6.25 244036 123539.8 38 40 28 1.8 456 3.24 207936 820.8

Page 9: Perhitungan Ayunan Puntir Auto Saved)

39.8 38 39 28 1.8 418 3.24 174724 752.439.4 38 38 28 1.4 380 1.96 144400 53239.3 38 37 28 1.3 342 1.69 116964 444.639.3 38 36 28 1.3 304 1.69 92416 395.239.3 38 35 28 1.3 266 1.69 70756 345.839.2 38 34 28 1.2 228 1.44 51984 273.639.1 38 33 28 1.1 190 1.21 36100 209

39 38 32 28 1 152 1 23104 15238.8 38 31 28 0.8 114 0.64 12996 91.238.6 38 30 28 0.6 76 0.36 5776 45.638.4 38 29 28 0.4 38 0.16 1444 15.2

264.8 58520 1708.72 82279120 374592.6

Y X y kuadrat x kuadrat x.y mrt r0 T T0 rt-r0 R0 (T - T0)

118 780 83 28 -1.888609 -0.023666 3.566845 0.00056 0.044696 81.27062126 780 82 28 -1.823012 -0.023519 3.323373 0.000553 0.042876137 780 81 28 -1.739313 -0.023369 3.02521 0.000546 0.040645144 780 80 28 -1.689481 -0.023214 2.854345 0.000539 0.03922153 780 79 28 -1.628856 -0.023056 2.653172 0.000532 0.037555164 780 78 28 -1.559427 -0.022894 2.431814 0.000524 0.035701172 780 77 28 -1.511799 -0.022727 2.285538 0.000517 0.034359182 780 76 28 -1.455287 -0.022556 2.117861 0.000509 0.032826190 780 75 28 -1.41227 -0.022381 1.994506 0.000501 0.031608199 780 74 28 -1.365989 -0.022201 1.865926 0.000493 0.030326208 780 73 28 -1.321756 -0.022016 1.747039 0.000485 0.029099216 780 72 28 -1.284016 -0.021825 1.648696 0.000476 0.028024225 780 71 28 -1.243194 -0.02163 1.54553 0.000468 0.02689235 780 70 28 -1.199708 -0.021429 1.4393 0.000459 0.025708248 780 69 28 -1.145865 -0.021222 1.313007 0.00045 0.024317257 780 68 28 -1.110218 -0.021008 1.232584 0.000441 0.023324266 780 67 28 -1.075798 -0.020789 1.15734 0.000432 0.022365275 780 66 28 -1.042523 -0.020563 1.086854 0.000423 0.021437286 780 65 28 -1.003302 -0.02033 1.006615 0.000413 0.020397294 780 64 28 -0.975714 -0.020089 0.952018 0.000404 0.019601304 780 63 28 -0.942266 -0.019841 0.887866 0.000394 0.018696313 780 62 28 -0.913091 -0.019585 0.833735 0.000384 0.017883322 780 61 28 -0.884742 -0.019321 0.782769 0.000373 0.017094332 780 60 28 -0.854159 -0.019048 0.729588 0.000363 0.01627343 780 59 28 -0.821563 -0.018765 0.674967 0.000352 0.015417

Page 10: Perhitungan Ayunan Puntir Auto Saved)

355 780 58 28 -0.787176 -0.018473 0.619646 0.000341 0.014541368 780 57 28 -0.751211 -0.01817 0.564318 0.00033 0.01365380 780 56 28 -0.719123 -0.017857 0.517137 0.000319 0.012841390 780 55 28 -0.693147 -0.017532 0.480453 0.000307 0.012153400 780 54 28 -0.667829 -0.017196 0.445996 0.000296 0.011484411 780 53 28 -0.640701 -0.016846 0.410497 0.000284 0.010793434 780 52 28 -0.586249 -0.016484 0.343688 0.000272 0.009663462 780 51 28 -0.523729 -0.016106 0.274292 0.000259 0.008435472 780 50 28 -0.502315 -0.015714 0.25232 0.000247 0.007894485 780 49 28 -0.475145 -0.015306 0.225763 0.000234 0.007273495 780 48 28 -0.454736 -0.014881 0.206785 0.000221 0.006767506 780 47 28 -0.432757 -0.014438 0.187279 0.000208 0.006248525 780 46 28 -0.395896 -0.013975 0.156733 0.000195 0.005533554 780 45 28 -0.342129 -0.013492 0.117052 0.000182 0.004616568 780 44 28 -0.317173 -0.012987 0.100598 0.000169 0.004119586 780 43 28 -0.285974 -0.012458 0.081781 0.000155 0.003563603 780 42 28 -0.257377 -0.011905 0.066243 0.000142 0.003064650 780 41 28 -0.182322 -0.011324 0.033241 0.000128 0.002065661 780 40 28 -0.16554 -0.010714 0.027404 0.000115 0.001774668 780 39 28 -0.155006 -0.010073 0.024027 0.000101 0.001561690 780 38 28 -0.122602 -0.009398 0.015031 8.833E-05 0.001152698 780 37 28 -0.111075 -0.008687 0.012338 7.547E-05 0.000965698 780 36 28 -0.111075 -0.007937 0.012338 6.299E-05 0.000882706 780 35 28 -0.099679 -0.007143 0.009936 5.102E-05 0.000712714 780 34 28 -0.088411 -0.006303 0.007816 3.972E-05 0.000557729 780 33 28 -0.06762 -0.005411 0.004572 2.928E-05 0.000366738 780 32 28 -0.05535 -0.004464 0.003064 1.993E-05 0.000247745 780 31 28 -0.04591 -0.003456 0.002108 1.195E-05 0.000159759 780 30 28 -0.027292 -0.002381 0.000745 5.669E-06 6.498E-05766 780 29 28 -0.018112 -0.001232 0.000328 1.517E-06 2.231E-05

-41.97462 -0.889388 48.36003 0.016483 0.849498

Page 11: Perhitungan Ayunan Puntir Auto Saved)

b

-0.121414 0.00488 0.004735 2.120497E-080.00463 0.004735 1.105314E-08

0.004667 0.004735 4.547455E-090.004656 0.004735 6.224117E-090.004592 0.004735 2.027783E-080.004579 0.004735 2.427867E-080.004619 0.004735 1.347316E-080.004605 0.004735 1.677034E-080.004647 0.004735 7.657489E-090.004691 0.004735 1.908642E-090.004678 0.004735 3.181067E-090.004665 0.004735 4.85694E-09

0.00459 0.004735 2.096711E-080.004574 0.004735 2.586587E-080.004557 0.004735 3.155562E-080.004539 0.004735 3.813812E-080.004656 0.004735 6.224117E-09

0.00464 0.004735 9.001137E-090.004552 0.004735 3.343163E-080.004532 0.004735 4.104667E-080.004511 0.004735 4.994569E-080.004489 0.004735 6.031908E-080.004386 0.004735 1.216605E-070.004276 0.004735 2.101743E-070.004244 0.004735 2.403758E-070.004211 0.004735 2.748246E-070.004265 0.004735 2.207033E-070.004135 0.004735 3.593105E-070.004191 0.004735 2.956427E-070.004251 0.004735 2.340154E-070.004211 0.004735 2.748246E-070.004167 0.004735 3.22734E-070.004233 0.004735 2.513557E-070.004306 0.004735 1.836495E-070.004386 0.004735 1.216605E-070.004211 0.004735 2.748246E-070.004017 0.004735 5.157294E-070.004094 0.004735 4.111327E-07

0.00418 0.004735 3.082437E-070.004441 0.004735 8.642074E-080.004737 0.004735 4.320513E-120.004887 0.004735 2.324238E-080.005061 0.004735 1.062533E-070.003947 0.004735 6.19991E-07

Page 12: Perhitungan Ayunan Puntir Auto Saved)

0.004306 0.004735 1.836495E-070.003684 0.004735 1.103662E-060.003801 0.004735 8.715976E-070.004276 0.004735 2.101743E-070.004887 0.004735 2.324238E-080.005263 0.004735 2.792006E-070.005789 0.004735 1.112414E-060.006579 0.004735 3.401014E-060.007018 0.004735 5.211086E-060.007895 0.004735 9.985431E-060.010526 0.004735 3.354208E-05

apha rata 6.183225E-050.004735 0.0001442877

0.0004328631

9.142233

b

0.551028 79.80233 40.01913 1582.703058577.51177 40.01913 1405.698310674.42947 40.01913 1184.071680872.77763 40.01913 1073.119329470.64764 40.01913 938.1056265468.11579 40.01913 789.4226538466.51918 40.01913 702.2525907864.51773 40.01913 600.1817633263.10142 40.01913 532.7922093

61.5289 40.01913 462.6703560160.03709 40.01913 400.7187579358.83126 40.01913 353.8962194357.47602 40.01913 304.7430074955.98639 40.01913 254.95357249

53.9954 40.01913 195.3362966152.84637 40.01913 164.5381458551.74862 40.01913 137.5810983750.69953 40.01913 114.0710364349.35162 40.01913 87.09538160348.56888 40.01913 73.09832161247.49022 40.01913 55.81719770446.62134 40.01913 43.58920067845.79212 40.01913 33.32745801244.84334 40.01913 23.27308231743.78138 40.01913 14.15456921

Page 13: Perhitungan Ayunan Puntir Auto Saved)

42.61247 40.01913 6.725418812341.34251 40.01913 1.751337817840.27087 40.01913 0.063374410339.53506 40.01913 0.234319112138.83685 40.01913 1.397786031438.03199 40.01913 3.9486965415

35.5658 40.01913 19.83215294332.51674 40.01913 56.285783325

31.9655 40.01913 64.86096902231.04281 40.01913 80.57428589630.55827 40.01913 89.50781225329.97413 40.01913 100.9018811428.32853 40.01913 136.6699627925.35781 40.01913 214.9540950324.42228 40.01913 243.2615436822.95419 40.01913 291.2120552621.61964 40.01913 338.54093328

16.1004 40.01913 572.1056766415.45041 40.01913 603.6219608115.38784 40.01913 606.7001239413.04489 40.01913 727.6095983912.78595 40.01913 741.64614813.99543 40.01913 677.232944613.95502 40.01913 679.3378872814.02787 40.01913 675.5453211512.49621 40.01913 757.5109008212.39842 40.01913 762.9033615513.28321 40.01913 714.80940184

11.4627 40.01913 815.4695140314.70674 40.01913 640.71686729

apha rata 22153.14303840.01913 2.7311116272

8.1933348815

20.47355

Page 14: Perhitungan Ayunan Puntir Auto Saved)

FILAMEN suhu naikY X y kuadrat x kuadrat x.y m

rt r0 T T0 rt-r0 R0 (T - T0)44.8 38 90 28 6.8 2356 46.24 5550736 16020.8 0.00287744.7 38 89 28 6.7 2318 44.89 5373124 15530.644.5 38 88 28 6.5 2280 42.25 5198400 1482044.4 38 87 28 6.4 2242 40.96 5026564 14348.844.3 38 86 28 6.3 2204 39.69 4857616 13885.244.3 38 85 28 6.3 2166 39.69 4691556 13645.844.3 38 84 28 6.3 2128 39.69 4528384 13406.443.8 38 83 28 5.8 2090 33.64 4368100 1212243.5 38 82 28 5.5 2052 30.25 4210704 1128643.3 38 81 28 5.3 2014 28.09 4056196 10674.243.3 38 80 28 5.3 1976 28.09 3904576 10472.8

43 38 79 28 5 1938 25 3755844 969042.8 38 78 28 4.8 1900 23.04 3610000 912042.7 38 77 28 4.7 1862 22.09 3467044 8751.442.6 38 76 28 4.6 1824 21.16 3326976 8390.442.4 38 75 28 4.4 1786 19.36 3189796 7858.442.3 38 74 28 4.3 1748 18.49 3055504 7516.442.4 38 73 28 4.4 1710 19.36 2924100 752442.2 38 72 28 4.2 1672 17.64 2795584 7022.4

42 38 71 28 4 1634 16 2669956 653641.9 38 70 28 3.9 1596 15.21 2547216 6224.441.8 38 69 28 3.8 1558 14.44 2427364 5920.441.6 38 68 28 3.6 1520 12.96 2310400 547241.1 38 67 28 3.1 1482 9.61 2196324 4594.2

41 38 66 28 3 1444 9 2085136 433240.9 38 65 28 2.9 1406 8.41 1976836 4077.440.8 38 64 28 2.8 1368 7.84 1871424 3830.440.7 38 63 28 2.7 1330 7.29 1768900 359140.7 38 62 28 2.7 1292 7.29 1669264 3488.440.6 38 61 28 2.6 1254 6.76 1572516 3260.440.6 38 60 28 2.6 1216 6.76 1478656 3161.640.5 38 59 28 2.5 1178 6.25 1387684 294540.4 38 58 28 2.4 1140 5.76 1299600 273640.3 38 57 28 2.3 1102 5.29 1214404 2534.640.2 38 56 28 2.2 1064 4.84 1132096 2340.840.2 38 55 28 2.2 1026 4.84 1052676 2257.240.1 38 54 28 2.1 988 4.41 976144 2074.8

40 38 53 28 2 950 4 902500 190039.9 38 52 28 1.9 912 3.61 831744 1732.839.8 38 51 28 1.8 874 3.24 763876 1573.239.7 38 50 28 1.7 836 2.89 698896 1421.239.6 38 49 28 1.6 798 2.56 636804 1276.839.5 38 48 28 1.5 760 2.25 577600 114039.4 38 47 28 1.4 722 1.96 521284 1010.839.3 38 46 28 1.3 684 1.69 467856 889.2

Page 15: Perhitungan Ayunan Puntir Auto Saved)

39.2 38 45 28 1.2 646 1.44 417316 775.239.2 38 44 28 1.2 608 1.44 369664 729.639.1 38 43 28 1.1 570 1.21 324900 627

39 38 42 28 1 532 1 283024 53238.9 38 41 28 0.9 494 0.81 244036 444.638.9 38 40 28 0.9 456 0.81 207936 410.438.8 38 39 28 0.8 418 0.64 174724 334.438.8 38 38 28 0.8 380 0.64 144400 30438.7 38 37 28 0.7 342 0.49 116964 239.438.6 38 36 28 0.6 304 0.36 92416 182.438.5 38 35 28 0.5 266 0.25 70756 13338.4 38 34 28 0.4 228 0.16 51984 91.238.3 38 33 28 0.3 190 0.09 36100 5738.3 38 32 28 0.3 152 0.09 23104 45.638.2 38 31 28 0.2 114 0.04 12996 22.838.2 38 30 28 0.2 76 0.04 5776 15.238.2 38 29 28 0.2 38 0.04 1444 7.6

179.5 74214 764.33 117505500 297357.6

FILAMEN suhu naikY X y kuadrat x kuadrat x.y m

rt r0 T T0 rt-r0 R0 (T - T0)176.8 921 90 28 -1.650441 -0.024603 2.723955 0.00060532 0.040606 74.01602176.7 921 89 28 -1.651007 -0.024478 2.725823 0.00059919 0.040414188.6 921 88 28 -1.585832 -0.024351 2.514862 0.00059295 0.038616189.8 921 87 28 -1.579489 -0.02422 2.494786 0.00058661 0.038255190.9 921 86 28 -1.57371 -0.024086 2.476564 0.00058015 0.037905192.6 921 85 28 -1.564845 -0.02395 2.448738 0.00057358 0.037477193.1 921 84 28 -1.562252 -0.02381 2.440631 0.00056689 0.037196194.2 921 83 28 -1.556571 -0.023666 2.422915 0.00056008 0.036838195.2 921 82 28 -1.551435 -0.023519 2.406952 0.00055315 0.036488196.5 921 81 28 -1.544798 -0.023369 2.3864 0.00054609 0.0361198.7 921 80 28 -1.533664 -0.023214 2.352125 0.0005389 0.035603

217 921 79 28 -1.445563 -0.023056 2.089651 0.00053158 0.033329226 921 78 28 -1.404925 -0.022894 1.973814 0.00052412 0.032164235 921 77 28 -1.365875 -0.022727 1.865613 0.00051653 0.031043244 921 76 28 -1.328292 -0.022556 1.764359 0.00050879 0.029961250 921 75 28 -1.303999 -0.022381 1.700414 0.00050091 0.029185258 921 74 28 -1.2725 -0.022201 1.619257 0.00049287 0.02825264 921 73 28 -1.249511 -0.022016 1.561278 0.00048469 0.027509273 921 72 28 -1.215988 -0.021825 1.478627 0.00047635 0.026539281 921 71 28 -1.187105 -0.02163 1.409219 0.00046785 0.025677285 921 70 28 -1.172971 -0.021429 1.375861 0.00045918 0.025135288 921 69 28 -1.1625 -0.021222 1.351405 0.00045035 0.02467

Page 16: Perhitungan Ayunan Puntir Auto Saved)

291 921 68 28 -1.152137 -0.021008 1.327419 0.00044135 0.024205293 921 67 28 -1.145287 -0.020789 1.311683 0.00043218 0.023809303 921 66 28 -1.111727 -0.020563 1.235937 0.00042283 0.02286307 921 65 28 -1.098612 -0.02033 1.206949 0.0004133 0.022334311 921 64 28 -1.085667 -0.020089 1.178673 0.00040358 0.02181317 921 63 28 -1.066558 -0.019841 1.137547 0.00039368 0.021162321 921 62 28 -1.054019 -0.019585 1.110956 0.00038358 0.020643330 921 61 28 -1.026367 -0.019321 1.05343 0.00037329 0.01983345 921 60 28 -0.981916 -0.019048 0.964158 0.00036281 0.018703354 921 59 28 -0.956163 -0.018765 0.914248 0.00035213 0.017943368 921 58 28 -0.917377 -0.018473 0.841581 0.00034125 0.016947374 921 57 28 -0.901204 -0.01817 0.812169 0.00033016 0.016375386 921 56 28 -0.869623 -0.017857 0.756244 0.00031888 0.015529395 921 55 28 -0.846574 -0.017532 0.716688 0.00030739 0.014843409 921 54 28 -0.811745 -0.017196 0.65893 0.00029569 0.013959421 921 53 28 -0.782827 -0.016846 0.612818 0.0002838 0.013188444 921 52 28 -0.729635 -0.016484 0.532368 0.00027171 0.012027456 921 51 28 -0.702967 -0.016106 0.494163 0.00025942 0.011322469 921 50 28 -0.674857 -0.015714 0.455432 0.00024694 0.010605484 921 49 28 -0.643375 -0.015306 0.413932 0.00023428 0.009848497 921 48 28 -0.61687 -0.014881 0.380529 0.00022144 0.00918512 921 47 28 -0.587135 -0.014438 0.344728 0.00020845 0.008477529 921 46 28 -0.554472 -0.013975 0.307439 0.0001953 0.007749541 921 45 28 -0.532041 -0.013492 0.283067 0.00018204 0.007178557 921 44 28 -0.502895 -0.012987 0.252903 0.00016866 0.006531572 921 43 28 -0.476321 -0.012458 0.226882 0.00015521 0.005934594 921 42 28 -0.438581 -0.011905 0.192353 0.00014172 0.005221618 921 41 28 -0.398972 -0.011324 0.159178 0.00012823 0.004518638 921 40 28 -0.367122 -0.010714 0.134778 0.0001148 0.003933654 921 39 28 -0.342353 -0.010073 0.117205 0.00010147 0.003449674 921 38 28 -0.31223 -0.009398 0.097488 8.8332E-05 0.002934695 921 37 28 -0.281548 -0.008687 0.079269 7.5468E-05 0.002446719 921 36 28 -0.247599 -0.007937 0.061305 6.2988E-05 0.001965738 921 35 28 -0.221516 -0.007143 0.049069 5.102E-05 0.001582764 921 34 28 -0.186892 -0.006303 0.034929 3.9722E-05 0.001178788 921 33 28 -0.155962 -0.005411 0.024324 2.9282E-05 0.000844812 921 32 28 -0.12596 -0.004464 0.015866 1.993E-05 0.000562839 921 31 28 -0.093249 -0.003456 0.008695 1.1945E-05 0.000322868 921 30 28 -0.059268 -0.002381 0.003513 5.6689E-06 0.000141896 921 29 28 -0.02752 -0.001232 0.000757 1.5167E-06 3.389E-05

-56.55042 -1.058886 66.09285 0.0205876 1.151082

Page 17: Perhitungan Ayunan Puntir Auto Saved)

b

-0.548969 0.002886 0.002299 3.45338E-070.00289 0.002299 3.502622E-07

0.002851 0.002299 3.050176E-070.002855 0.002299 3.09137E-070.002858 0.002299 3.134275E-070.002909 0.002299 3.720927E-070.002961 0.002299 4.381554E-070.002775 0.002299 2.270774E-07

0.00268 0.002299 1.457091E-070.002632 0.002299 1.108795E-070.002682 0.002299 1.471436E-07

0.00258 0.002299 7.917816E-080.002526 0.002299 5.185757E-080.002524 0.002299 5.088379E-080.002522 0.002299 4.987924E-080.002464 0.002299 2.722916E-08

0.00246 0.002299 2.603738E-080.002573 0.002299 7.535365E-080.002512 0.002299 4.552612E-080.002448 0.002299 2.231654E-080.002444 0.002299 2.102958E-080.002439 0.002299 1.972092E-080.002368 0.002299 4.875927E-090.002092 0.002299 4.277672E-080.002078 0.002299 4.885465E-080.002063 0.002299 5.569803E-080.002047 0.002299 6.340807E-08

0.00203 0.002299 7.210193E-080.00209 0.002299 4.360159E-08

0.002073 0.002299 5.072764E-080.002138 0.002299 2.573949E-080.002122 0.002299 3.110007E-080.002105 0.002299 3.737651E-080.002087 0.002299 4.472331E-080.002068 0.002299 5.332591E-080.002144 0.002299 2.382198E-080.002126 0.002299 2.995916E-080.002105 0.002299 3.737651E-080.002083 0.002299 4.633682E-080.002059 0.002299 5.716721E-080.002033 0.002299 7.027822E-080.002005 0.002299 8.618962E-080.001974 0.002299 1.055659E-070.001939 0.002299 1.292654E-070.001901 0.002299 1.584107E-07

Page 18: Perhitungan Ayunan Puntir Auto Saved)

0.001858 0.002299 1.944881E-070.001974 0.002299 1.055659E-07

0.00193 0.002299 1.359903E-070.00188 0.002299 1.754722E-07

0.001822 0.002299 2.272723E-070.001974 0.002299 1.055659E-070.001914 0.002299 1.480076E-070.002105 0.002299 3.737651E-080.002047 0.002299 6.340807E-080.001974 0.002299 1.055659E-07

0.00188 0.002299 1.754722E-070.001754 0.002299 2.961615E-070.001579 0.002299 5.178901E-070.001974 0.002299 1.055659E-070.001754 0.002299 2.961615E-070.002632 0.002299 1.108795E-070.005263 0.002299 8.788644E-06

0apha rata 1.644142E-050.002299 6.593392E-05

0.00019780188.60534

b

0.352002 67.08244 48.80507 334.0621867167.44768 48.80507 347.5470541665.12482 48.80507 266.3343236865.21416 48.80507 269.2583770265.33611 48.80507 273.2753746665.33912 48.80507 273.3749717965.61458 48.80507 282.5596166565.77222 48.80507 287.8842644465.96473 48.80507 294.4541140266.10568 48.80507 299.3111335166.06552 48.80507 297.9232521162.69774 48.80507 193.0062924961.36713 48.80507 157.8052951160.09848 48.80507 127.54113462

58.8876 48.80507 101.6575273958.26379 48.80507 89.46743206357.31785 48.80507 72.46739879456.75556 48.80507 63.21037734655.71437 48.80507 47.7384604954.88292 48.80507 36.94026106454.73864 48.80507 35.20727772854.77925 48.80507 35.690820919

Page 19: Perhitungan Ayunan Puntir Auto Saved)

54.84171 48.80507 36.44105087155.09126 48.80507 39.51623534454.06505 48.80507 27.66741834454.03985 48.80507 27.402920133

54.0421 48.80507 27.42647259253.75454 48.80507 24.49723908853.81697 48.80507 25.11911980153.12229 48.80507 18.63838559951.55057 48.80507 7.537782064550.95424 48.80507 4.618946360149.66068 48.80507 0.732072554149.59731 48.80507 0.627646256648.69887 48.80507 0.011278125148.28609 48.80507 0.269340020247.20609 48.80507 2.556740166746.46862 48.80507 5.458975765744.26455 48.80507 20.61628354

43.6451 48.80507 26.62531325742.94546 48.80507 34.33497498342.03384 48.80507 45.84950237141.45366 48.80507 54.04312864140.66685 48.80507 66.23054607239.67552 48.80507 83.34857666539.43361 48.80507 87.824239649

38.7229 48.80507 101.6501224838.2327 48.80507 111.77490851

36.84078 48.80507 143.144178735.23226 48.80507 184.22112889

34.2647 48.80507 211.4223864733.98628 48.80507 219.5963340133.22126 48.80507 242.8549409132.40933 48.80507 268.8203818331.19743 48.80507 310.0287878431.01227 48.80507 316.5836687129.65357 48.80507 366.7798751228.82177 48.80507 399.3322854228.21497 48.80507 423.9520505226.98014 48.80507 476.32750137

24.8927 48.80507 571.8015723422.34593 48.80507 700.08575901

0apha rata 9902.487017148.80507 1.6181224322

4.85436729659.946441

Page 20: Perhitungan Ayunan Puntir Auto Saved)

FILAMEN suhu naikY X y kuadrat x kuadrat x.y

rt r0 T T0 rt-r0 R0 (T - T0)35.1 38 6 28 -2.9 -22 8.40999999999999 484 63.835.2 38 7 28 -2.8 -21 7.83999999999998 441 58.835.3 38 8 28 -2.7 -20 7.29000000000002 400 5435.5 38 9 28 -2.5 -19 6.25 361 47.535.7 38 10 28 -2.3 -18 5.28999999999999 324 41.435.9 38 11 28 -2.1 -17 4.41000000000001 289 35.7

36 38 12 28 -2 -16 4 256 3236.1 38 13 28 -1.9 -15 3.60999999999999 225 28.536.4 38 14 28 -1.6 -14 2.56 196 22.436.6 38 15 28 -1.4 -13 1.96 169 18.236.4 38 16 28 -1.6 -12 2.56 144 19.236.3 38 17 28 -1.7 -11 2.89000000000001 121 18.736.9 38 18 28 -1.1 -10 1.21 100 1136.8 38 19 28 -1.2 -9 1.44000000000001 81 10.836.7 38 20 28 -1.3 -8 1.68999999999999 64 10.437.4 38 21 28 -0.6 -7 0.36 49 4.237.3 38 22 28 -0.7 -6 0.49 36 4.236.9 38 23 28 -1.1 -5 1.21 25 5.536.9 38 24 28 -1.1 -4 1.21 16 4.436.9 38 25 28 -1.1 -3 1.21 9 3.337.2 38 26 28 -0.8 -2 0.64 4 1.637.8 38 27 28 -0.2 -1 0.04 1 0.2

-34.7 -253 66.57 3795 495.8

FILAMEN suhu naikY X y kuadrat x kuadrat x.y

rt r0 T T0 rt-r0 R0 (T - T0)48.2 38 83 28 10.2 55 104.04 3025 56147.5 38 82 28 9.5 54 90.25 2916 51347.4 38 81 28 9.4 53 88.36 2809 498.247.2 38 80 28 9.2 52 84.6400000000001 2704 478.446.9 38 79 28 8.9 51 79.21 2601 453.946.7 38 78 28 8.7 50 75.6900000000001 2500 43546.6 38 77 28 8.6 49 73.96 2401 421.446.4 38 76 28 8.4 48 70.56 2304 403.246.3 38 75 28 8.3 47 68.89 2209 390.146.2 38 74 28 8.2 46 67.2400000000001 2116 377.2

46 38 73 28 8 45 64 2025 36045.8 38 72 28 7.8 44 60.84 1936 343.245.5 38 71 28 7.5 43 56.25 1849 322.545.3 38 70 28 7.3 42 53.29 1764 306.645.1 38 69 28 7.1 41 50.41 1681 291.144.9 38 68 28 6.9 40 47.61 1600 27644.9 38 67 28 6.9 39 47.61 1521 269.1

Page 21: Perhitungan Ayunan Puntir Auto Saved)

44.7 38 66 28 6.7 38 44.89 1444 254.644.4 38 65 28 6.4 37 40.96 1369 236.844.2 38 64 28 6.2 36 38.44 1296 223.2

44 38 63 28 6 35 36 1225 21043.8 38 62 28 5.8 34 33.64 1156 197.243.5 38 61 28 5.5 33 30.25 1089 181.543.2 38 60 28 5.2 32 27.04 1024 166.4

43 38 59 28 5 31 25 961 15542.8 38 58 28 4.8 30 23.04 900 14442.7 38 57 28 4.7 29 22.09 841 136.342.4 38 56 28 4.4 28 19.36 784 123.242.3 38 55 28 4.3 27 18.49 729 116.142.2 38 54 28 4.2 26 17.64 676 109.2

42 38 53 28 4 25 16 625 10041.8 38 52 28 3.8 24 14.44 576 91.241.7 38 51 28 3.7 23 13.69 529 85.141.6 38 50 28 3.6 22 12.96 484 79.241.5 38 49 28 3.5 21 12.25 441 73.541.2 38 48 28 3.2 20 10.24 400 6440.9 38 47 28 2.9 19 8.40999999999999 361 55.140.8 38 46 28 2.8 18 7.83999999999998 324 50.440.7 38 45 28 2.7 17 7.29000000000002 289 45.940.7 38 44 28 2.7 16 7.29000000000002 256 43.240.7 38 43 28 2.7 15 7.29000000000002 225 40.540.6 38 42 28 2.6 14 6.76000000000001 196 36.440.5 38 41 28 2.5 13 6.25 169 32.539.8 38 40 28 1.8 12 3.23999999999999 144 21.639.8 38 39 28 1.8 11 3.23999999999999 121 19.839.4 38 38 28 1.4 10 1.96 100 1439.3 38 37 28 1.3 9 1.68999999999999 81 11.739.3 38 36 28 1.3 8 1.68999999999999 64 10.439.3 38 35 28 1.3 7 1.68999999999999 49 9.139.2 38 34 28 1.2 6 1.44000000000001 36 7.239.1 38 33 28 1.1 5 1.21 25 5.5

39 38 32 28 1 4 1 16 438.8 38 31 28 0.8 3 0.64 9 2.438.6 38 30 28 0.6 2 0.36 4 1.238.4 38 29 28 0.4 1 0.16 1 0.4

264.8 1540 1708.72 56980 9857.7

FILAMEN suhu naikY X y kuadrat x kuadrat x.y

rt r0 T T0 rt-r0 R0 (T - T0)44.8 38 90 28 6.8 62 46.24 3844 421.644.7 38 89 28 6.7 61 44.89 3721 408.744.5 38 88 28 6.5 60 42.25 3600 39044.4 38 87 28 6.4 59 40.96 3481 377.644.3 38 86 28 6.3 58 39.69 3364 365.4

Page 22: Perhitungan Ayunan Puntir Auto Saved)

44.3 38 85 28 6.3 57 39.69 3249 359.144.3 38 84 28 6.3 56 39.69 3136 352.843.8 38 83 28 5.8 55 33.64 3025 31943.5 38 82 28 5.5 54 30.25 2916 29743.3 38 81 28 5.3 53 28.09 2809 280.943.3 38 80 28 5.3 52 28.09 2704 275.6

43 38 79 28 5 51 25 2601 25542.8 38 78 28 4.8 50 23.04 2500 24042.7 38 77 28 4.7 49 22.09 2401 230.342.6 38 76 28 4.6 48 21.16 2304 220.842.4 38 75 28 4.4 47 19.36 2209 206.842.3 38 74 28 4.3 46 18.49 2116 197.842.4 38 73 28 4.4 45 19.36 2025 19842.2 38 72 28 4.2 44 17.64 1936 184.8

42 38 71 28 4 43 16 1849 17241.9 38 70 28 3.9 42 15.21 1764 163.841.8 38 69 28 3.8 41 14.44 1681 155.841.6 38 68 28 3.6 40 12.96 1600 14441.1 38 67 28 3.1 39 9.61000000000001 1521 120.9

41 38 66 28 3 38 9 1444 11440.9 38 65 28 2.9 37 8.40999999999999 1369 107.340.8 38 64 28 2.8 36 7.83999999999998 1296 100.840.7 38 63 28 2.7 35 7.29000000000002 1225 94.540.7 38 62 28 2.7 34 7.29000000000002 1156 91.840.6 38 61 28 2.6 33 6.76000000000001 1089 85.840.6 38 60 28 2.6 32 6.76000000000001 1024 83.240.5 38 59 28 2.5 31 6.25 961 77.540.4 38 58 28 2.4 30 5.75999999999999 900 7240.3 38 57 28 2.3 29 5.28999999999999 841 66.740.2 38 56 28 2.2 28 4.84000000000001 784 61.640.2 38 55 28 2.2 27 4.84000000000001 729 59.440.1 38 54 28 2.1 26 4.41000000000001 676 54.6

40 38 53 28 2 25 4 625 5039.9 38 52 28 1.9 24 3.60999999999999 576 45.639.8 38 51 28 1.8 23 3.23999999999999 529 41.439.7 38 50 28 1.7 22 2.89000000000001 484 37.439.6 38 49 28 1.6 21 2.56 441 33.639.5 38 48 28 1.5 20 2.25 400 3039.4 38 47 28 1.4 19 1.96 361 26.639.3 38 46 28 1.3 18 1.68999999999999 324 23.439.2 38 45 28 1.2 17 1.44000000000001 289 20.439.2 38 44 28 1.2 16 1.44000000000001 256 19.239.1 38 43 28 1.1 15 1.21 225 16.5

39 38 42 28 1 14 1 196 1438.9 38 41 28 0.9 13 0.81 169 11.738.9 38 40 28 0.9 12 0.81 144 10.838.8 38 39 28 0.8 11 0.64 121 8.838.8 38 38 28 0.8 10 0.64 100 8

Page 23: Perhitungan Ayunan Puntir Auto Saved)

38.7 38 37 28 0.7 9 0.49 81 6.338.6 38 36 28 0.6 8 0.36 64 4.838.5 38 35 28 0.5 7 0.25 49 3.538.4 38 34 28 0.4 6 0.16 36 2.438.3 38 33 28 0.3 5 0.09 25 1.538.3 38 32 28 0.3 4 0.09 16 1.238.2 38 31 28 0.2 3 0.04 9 0.638.2 38 30 28 0.2 2 0.04 4 0.438.2 38 29 28 0.2 1 0.04 1 0.2

179.5 1953 764.33 81375 7825.2

Page 24: Perhitungan Ayunan Puntir Auto Saved)

m = 0.1092603049 0.003464apla = 0.0028752712

sy = 0.2517639632sm = 0.0084605634

d alpa = 0.0002226464

k relatif 7.7434923847 0.0045k literatur -36.10508485

m = 0.1762842713 #REF!apla = 0.0046390598 #REF!

sy = 0.2423549404 #REF!sm = 0.0020585919 #REF!

d alpa = 5.417347E-05 #REF!

k relatif 1.1677683417 0.0045 #REF! 0.11k literatur 3.0902171253 #REF!

Page 25: Perhitungan Ayunan Puntir Auto Saved)

m = 0.1093374632 #REF!apla = 0.0028773017 #REF!

sy = 0.3483863448 #REF!sm = 0.0024724112 #REF!

d alpa = 6.506345E-05 #REF!

k relatif 2.2612663345 0.0045 #REF! 0.11

Page 26: Perhitungan Ayunan Puntir Auto Saved)

k literatur -36.05996306 #REF!

Page 27: Perhitungan Ayunan Puntir Auto Saved)
Page 28: Perhitungan Ayunan Puntir Auto Saved)

Y X y kuadrat x kuadrat x.yrt r0 T T0 rt-r0 R0 (T - T0)

1926 921 6 28 0.737741 -22 0.544261 484 -16.230291872 921 7 28 0.709303 -21 0.50311 441 -14.895361795 921 8 28 0.6673 -20 0.44529 400 -13.346011745 921 9 28 0.63905 -19 0.408385 361 -12.141951692 921 10 28 0.608207 -18 0.369915 324 -10.947721621 921 11 28 0.565338 -17 0.319608 289 -9.6107541566 921 12 28 0.53082 -16 0.28177 256 -8.4931171489 921 13 28 0.4804 -15 0.230784 225 -7.2061395 921 14 28 0.41519 -14 0.172382 196 -5.8126551342 921 15 28 0.376456 -13 0.141719 169 -4.8939321279 921 16 28 0.328374 -12 0.107829 144 -3.9404851251 921 17 28 0.306238 -11 0.093782 121 -3.3686231216 921 18 28 0.277862 -10 0.077207 100 -2.778621172 921 19 28 0.241007 -9 0.058084 81 -2.1690621137 921 20 28 0.210688 -8 0.04439 64 -1.6855081155 921 21 28 0.226396 -7 0.051255 49 -1.5847691051 921 22 28 0.132037 -6 0.017434 36 -0.7922241041 921 23 28 0.122477 -5 0.015001 25 -0.6123851019 921 24 28 0.101117 -4 0.010225 16 -0.4044681006 921 25 28 0.088277 -3 0.007793 9 -0.264832

973 921 26 28 0.054924 -2 0.003017 4 -0.109848942 921 27 28 0.022545 -1 0.000508 1 -0.022545

7.841747 -253 3.903749 3795 -121.3111

Y X y kuadrat x kuadrat x.yrt r0 T T0 rt-r0 R0 (T - T0)

118 780 83 28 -1.888609 55 3.566845 3025 -103.8735126 780 82 28 -1.823012 54 3.323373 2916 -98.44265137 780 81 28 -1.739313 53 3.02521 2809 -92.18359144 780 80 28 -1.689481 52 2.854345 2704 -87.85299153 780 79 28 -1.628856 51 2.653172 2601 -83.07166164 780 78 28 -1.559427 50 2.431814 2500 -77.97137172 780 77 28 -1.511799 49 2.285538 2401 -74.07817182 780 76 28 -1.455287 48 2.117861 2304 -69.85379190 780 75 28 -1.41227 47 1.994506 2209 -66.37668199 780 74 28 -1.365989 46 1.865926 2116 -62.8355208 780 73 28 -1.321756 45 1.747039 2025 -59.47901216 780 72 28 -1.284016 44 1.648696 1936 -56.49668225 780 71 28 -1.243194 43 1.54553 1849 -53.45732235 780 70 28 -1.199708 42 1.4393 1764 -50.38775248 780 69 28 -1.145865 41 1.313007 1681 -46.98047257 780 68 28 -1.110218 40 1.232584 1600 -44.40871266 780 67 28 -1.075798 39 1.15734 1521 -41.95611275 780 66 28 -1.042523 38 1.086854 1444 -39.61587

Page 29: Perhitungan Ayunan Puntir Auto Saved)

286 780 65 28 -1.003302 37 1.006615 1369 -37.12218294 780 64 28 -0.975714 36 0.952018 1296 -35.12571304 780 63 28 -0.942266 35 0.887866 1225 -32.97932313 780 62 28 -0.913091 34 0.833735 1156 -31.04508322 780 61 28 -0.884742 33 0.782769 1089 -29.1965332 780 60 28 -0.854159 32 0.729588 1024 -27.33309343 780 59 28 -0.821563 31 0.674967 961 -25.46847355 780 58 28 -0.787176 30 0.619646 900 -23.61528368 780 57 28 -0.751211 29 0.564318 841 -21.78512380 780 56 28 -0.719123 28 0.517137 784 -20.13543390 780 55 28 -0.693147 27 0.480453 729 -18.71497400 780 54 28 -0.667829 26 0.445996 676 -17.36356411 780 53 28 -0.640701 25 0.410497 625 -16.01752434 780 52 28 -0.586249 24 0.343688 576 -14.06999462 780 51 28 -0.523729 23 0.274292 529 -12.04577472 780 50 28 -0.502315 22 0.25232 484 -11.05093485 780 49 28 -0.475145 21 0.225763 441 -9.978046495 780 48 28 -0.454736 20 0.206785 400 -9.094723506 780 47 28 -0.432757 19 0.187279 361 -8.222388525 780 46 28 -0.395896 18 0.156733 324 -7.126122554 780 45 28 -0.342129 17 0.117052 289 -5.816197568 780 44 28 -0.317173 16 0.100598 256 -5.07476586 780 43 28 -0.285974 15 0.081781 225 -4.289612603 780 42 28 -0.257377 14 0.066243 196 -3.603274650 780 41 28 -0.182322 13 0.033241 169 -2.37018661 780 40 28 -0.16554 12 0.027404 144 -1.986481668 780 39 28 -0.155006 11 0.024027 121 -1.705063690 780 38 28 -0.122602 10 0.015031 100 -1.226023698 780 37 28 -0.111075 9 0.012338 81 -0.999673698 780 36 28 -0.111075 8 0.012338 64 -0.888599706 780 35 28 -0.099679 7 0.009936 49 -0.697751714 780 34 28 -0.088411 6 0.007816 36 -0.530466729 780 33 28 -0.06762 5 0.004572 25 -0.338101738 780 32 28 -0.05535 4 0.003064 16 -0.2214745 780 31 28 -0.04591 3 0.002108 9 -0.137729759 780 30 28 -0.027292 2 0.000745 4 -0.054584766 780 29 28 -0.018112 1 0.000328 1 -0.018112

-41.97462 1540 48.36003 56980 -1646.77

Y X y kuadrat x kuadrat x.yrt r0 T T0 rt-r0 R0 (T - T0)

176.8 921 90 28 -1.650441 62 2.723955 3844 -102.3273176.7 921 89 28 -1.651007 61 2.725823 3721 -100.7114188.6 921 88 28 -1.585832 60 2.514862 3600 -95.1499189.8 921 87 28 -1.579489 59 2.494786 3481 -93.18986190.9 921 86 28 -1.57371 58 2.476564 3364 -91.2752192.6 921 85 28 -1.564845 57 2.448738 3249 -89.19614

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193.1 921 84 28 -1.562252 56 2.440631 3136 -87.4861194.2 921 83 28 -1.556571 55 2.422915 3025 -85.61143195.2 921 82 28 -1.551435 54 2.406952 2916 -83.77751196.5 921 81 28 -1.544798 53 2.3864 2809 -81.87427198.7 921 80 28 -1.533664 52 2.352125 2704 -79.75052

217 921 79 28 -1.445563 51 2.089651 2601 -73.7237226 921 78 28 -1.404925 50 1.973814 2500 -70.24625235 921 77 28 -1.365875 49 1.865613 2401 -66.92785244 921 76 28 -1.328292 48 1.764359 2304 -63.75801250 921 75 28 -1.303999 47 1.700414 2209 -61.28796258 921 74 28 -1.2725 46 1.619257 2116 -58.53502264 921 73 28 -1.249511 45 1.561278 2025 -56.22799273 921 72 28 -1.215988 44 1.478627 1936 -53.50348281 921 71 28 -1.187105 43 1.409219 1849 -51.04553285 921 70 28 -1.172971 42 1.375861 1764 -49.26478288 921 69 28 -1.1625 41 1.351405 1681 -47.66248291 921 68 28 -1.152137 40 1.327419 1600 -46.08547293 921 67 28 -1.145287 39 1.311683 1521 -44.66621303 921 66 28 -1.111727 38 1.235937 1444 -42.24563307 921 65 28 -1.098612 37 1.206949 1369 -40.64865311 921 64 28 -1.085667 36 1.178673 1296 -39.08402317 921 63 28 -1.066558 35 1.137547 1225 -37.32954321 921 62 28 -1.054019 34 1.110956 1156 -35.83664330 921 61 28 -1.026367 33 1.05343 1089 -33.87012345 921 60 28 -0.981916 32 0.964158 1024 -31.4213354 921 59 28 -0.956163 31 0.914248 961 -29.64106368 921 58 28 -0.917377 30 0.841581 900 -27.52131374 921 57 28 -0.901204 29 0.812169 841 -26.13492386 921 56 28 -0.869623 28 0.756244 784 -24.34943395 921 55 28 -0.846574 27 0.716688 729 -22.85751409 921 54 28 -0.811745 26 0.65893 676 -21.10537421 921 53 28 -0.782827 25 0.612818 625 -19.57068444 921 52 28 -0.729635 24 0.532368 576 -17.51125456 921 51 28 -0.702967 23 0.494163 529 -16.16825469 921 50 28 -0.674857 22 0.455432 484 -14.84686484 921 49 28 -0.643375 21 0.413932 441 -13.51088497 921 48 28 -0.61687 20 0.380529 400 -12.3374512 921 47 28 -0.587135 19 0.344728 361 -11.15557529 921 46 28 -0.554472 18 0.307439 324 -9.980489541 921 45 28 -0.532041 17 0.283067 289 -9.044693557 921 44 28 -0.502895 16 0.252903 256 -8.046317572 921 43 28 -0.476321 15 0.226882 225 -7.144816594 921 42 28 -0.438581 14 0.192353 196 -6.14013618 921 41 28 -0.398972 13 0.159178 169 -5.186631638 921 40 28 -0.367122 12 0.134778 144 -4.405461654 921 39 28 -0.342353 11 0.117205 121 -3.76588674 921 38 28 -0.31223 10 0.097488 100 -3.122299695 921 37 28 -0.281548 9 0.079269 81 -2.533934

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719 921 36 28 -0.247599 8 0.061305 64 -1.980789738 921 35 28 -0.221516 7 0.049069 49 -1.550613764 921 34 28 -0.186892 6 0.034929 36 -1.121353788 921 33 28 -0.155962 5 0.024324 25 -0.77981812 921 32 28 -0.12596 4 0.015866 16 -0.503839839 921 31 28 -0.093249 3 0.008695 9 -0.279748868 921 30 28 -0.059268 2 0.003513 4 -0.118537896 921 29 28 -0.02752 1 0.000757 1 -0.02752

-56.55042 1953 66.09285 81375 -2316.164

Page 32: Perhitungan Ayunan Puntir Auto Saved)

m = -0.035156 -0.032037apla = -0.035156

sy = 0.026603sm = 0.000894

d alpa = 0.000894

k relatif -2.542913 0.11k literatur -131.9604

m = -0.034017apla = -0.034017

sy = 0.073654sm = 0.000626

d alpa = 0.000626

k relatif -1.83913 0.11k literatur -130.9249

Page 33: Perhitungan Ayunan Puntir Auto Saved)

m = -0.026936apla = -0.026936

sy = 0.042233sm = 0.0003

d alpa = 0.0003

k relatif -1.112714 0.11k literatur -124.4872