Leva C-5, C-5, C-6, C-6

29
θ θrad β βrad C L 0 0 30 0 30 0 1 0.017453293 30 0.523598776 30 0 2 0.034906585 30 0.523598776 30 0 3 0.052359878 30 0.523598776 30 0 4 0.06981317 30 0.523598776 30 0 5 0.087266463 30 0.523598776 30 0 6 0.104719755 30 0.523598776 30 0 7 0.122173048 30 0.523598776 30 0 8 0.13962634 30 0.523598776 30 0 9 0.157079633 30 0.523598776 30 0 10 0.174532925 30 0.523598776 30 0 11 0.191986218 30 0.523598776 30 0 12 0.20943951 30 0.523598776 30 0 13 0.226892803 30 0.523598776 30 0 14 0.244346095 30 0.523598776 30 0 15 0.261799388 30 0.523598776 30 0 16 0.27925268 30 0.523598776 30 0 17 0.296705973 30 0.523598776 30 0 18 0.314159265 30 0.523598776 30 0 19 0.331612558 30 0.523598776 30 0 20 0.34906585 30 0.523598776 30 0 21 0.366519143 30 0.523598776 30 0 22 0.383972435 30 0.523598776 30 0 23 0.401425728 30 0.523598776 30 0 24 0.41887902 30 0.523598776 30 0 25 0.436332313 30 0.523598776 30 0 26 0.453785606 30 0.523598776 30 0 27 0.471238898 30 0.523598776 30 0 28 0.488692191 30 0.523598776 30 0 29 0.506145483 30 0.523598776 30 0 30 0.523598776 60 1.047197551 30 1.5 31 0.541052068 60 1.047197551 30 1.5 32 0.558505361 60 1.047197551 30 1.5 33 0.575958653 60 1.047197551 30 1.5 34 0.593411946 60 1.047197551 30 1.5 35 0.610865238 60 1.047197551 30 1.5 36 0.628318531 60 1.047197551 30 1.5 37 0.645771823 60 1.047197551 30 1.5 38 0.663225116 60 1.047197551 30 1.5 39 0.680678408 60 1.047197551 30 1.5 40 0.698131701 60 1.047197551 30 1.5 41 0.715584993 60 1.047197551 30 1.5 42 0.733038286 60 1.047197551 30 1.5 43 0.750491578 60 1.047197551 30 1.5

description

Datos para hacer una leva

Transcript of Leva C-5, C-5, C-6, C-6

θ θrad β βrad C L S=f(θ)0 0 30 0 30 0 01 0.017453293 30 0.523598776 30 0 02 0.034906585 30 0.523598776 30 0 03 0.052359878 30 0.523598776 30 0 04 0.06981317 30 0.523598776 30 0 05 0.087266463 30 0.523598776 30 0 06 0.104719755 30 0.523598776 30 0 07 0.122173048 30 0.523598776 30 0 08 0.13962634 30 0.523598776 30 0 09 0.157079633 30 0.523598776 30 0 010 0.174532925 30 0.523598776 30 0 011 0.191986218 30 0.523598776 30 0 012 0.20943951 30 0.523598776 30 0 013 0.226892803 30 0.523598776 30 0 014 0.244346095 30 0.523598776 30 0 015 0.261799388 30 0.523598776 30 0 016 0.27925268 30 0.523598776 30 0 017 0.296705973 30 0.523598776 30 0 018 0.314159265 30 0.523598776 30 0 019 0.331612558 30 0.523598776 30 0 020 0.34906585 30 0.523598776 30 0 021 0.366519143 30 0.523598776 30 0 022 0.383972435 30 0.523598776 30 0 023 0.401425728 30 0.523598776 30 0 024 0.41887902 30 0.523598776 30 0 025 0.436332313 30 0.523598776 30 0 026 0.453785606 30 0.523598776 30 0 027 0.471238898 30 0.523598776 30 0 028 0.488692191 30 0.523598776 30 0 029 0.506145483 30 0.523598776 30 0 030 0.523598776 60 1.047197551 30 1.5 031 0.541052068 60 1.047197551 30 1.5 0.02532 0.558505361 60 1.047197551 30 1.5 0.0533 0.575958653 60 1.047197551 30 1.5 0.07534 0.593411946 60 1.047197551 30 1.5 0.135 0.610865238 60 1.047197551 30 1.5 0.12536 0.628318531 60 1.047197551 30 1.5 0.1537 0.645771823 60 1.047197551 30 1.5 0.17538 0.663225116 60 1.047197551 30 1.5 0.239 0.680678408 60 1.047197551 30 1.5 0.22540 0.698131701 60 1.047197551 30 1.5 0.2541 0.715584993 60 1.047197551 30 1.5 0.27542 0.733038286 60 1.047197551 30 1.5 0.343 0.750491578 60 1.047197551 30 1.5 0.325

44 0.767944871 60 1.047197551 30 1.5 0.3545 0.785398163 60 1.047197551 30 1.5 0.37546 0.802851456 60 1.047197551 30 1.5 0.447 0.820304748 60 1.047197551 30 1.5 0.42548 0.837758041 60 1.047197551 30 1.5 0.4549 0.855211333 60 1.047197551 30 1.5 0.47550 0.872664626 60 1.047197551 30 1.5 0.551 0.890117919 60 1.047197551 30 1.5 0.52552 0.907571211 60 1.047197551 30 1.5 0.5553 0.925024504 60 1.047197551 30 1.5 0.57554 0.942477796 60 1.047197551 30 1.5 0.655 0.959931089 60 1.047197551 30 1.5 0.62556 0.977384381 60 1.047197551 30 1.5 0.6557 0.994837674 60 1.047197551 30 1.5 0.67558 1.012290966 60 1.047197551 30 1.5 0.759 1.029744259 60 1.047197551 30 1.5 0.72560 1.047197551 60 1.047197551 30 1.5 0.7561 1.064650844 60 1.047197551 30 1.5 0.77562 1.082104136 60 1.047197551 30 1.5 0.863 1.099557429 60 1.047197551 30 1.5 0.82564 1.117010721 60 1.047197551 30 1.5 0.8565 1.134464014 60 1.047197551 30 1.5 0.87566 1.151917306 60 1.047197551 30 1.5 0.967 1.169370599 60 1.047197551 30 1.5 0.92568 1.186823891 60 1.047197551 30 1.5 0.9569 1.204277184 60 1.047197551 30 1.5 0.97570 1.221730476 60 1.047197551 30 1.5 171 1.239183769 60 1.047197551 30 1.5 1.02572 1.256637061 60 1.047197551 30 1.5 1.0573 1.274090354 60 1.047197551 30 1.5 1.07574 1.291543646 60 1.047197551 30 1.5 1.175 1.308996939 60 1.047197551 30 1.5 1.12576 1.326450232 60 1.047197551 30 1.5 1.1577 1.343903524 60 1.047197551 30 1.5 1.17578 1.361356817 60 1.047197551 30 1.5 1.279 1.378810109 60 1.047197551 30 1.5 1.22580 1.396263402 60 1.047197551 30 1.5 1.2581 1.413716694 60 1.047197551 30 1.5 1.27582 1.431169987 60 1.047197551 30 1.5 1.383 1.448623279 60 1.047197551 30 1.5 1.32584 1.466076572 60 1.047197551 30 1.5 1.3585 1.483529864 60 1.047197551 30 1.5 1.37586 1.500983157 60 1.047197551 30 1.5 1.487 1.518436449 60 1.047197551 30 1.5 1.42588 1.535889742 60 1.047197551 30 1.5 1.45

89 1.553343034 60 1.047197551 30 1.5 1.47590 1.570796327 30 0.523598776 30 1.5 1.591 1.588249619 30 0.523598776 30 1.5 1.592 1.605702912 30 0.523598776 30 1.5 1.593 1.623156204 30 0.523598776 30 1.5 1.594 1.640609497 30 0.523598776 30 1.5 1.595 1.658062789 30 0.523598776 30 1.5 1.596 1.675516082 30 0.523598776 30 1.5 1.597 1.692969374 30 0.523598776 30 1.5 1.598 1.710422667 30 0.523598776 30 1.5 1.599 1.727875959 30 0.523598776 30 1.5 1.5100 1.745329252 30 0.523598776 30 1.5 1.5101 1.762782545 30 0.523598776 30 1.5 1.5102 1.780235837 30 0.523598776 30 1.5 1.5103 1.79768913 30 0.523598776 30 1.5 1.5104 1.815142422 30 0.523598776 30 1.5 1.5105 1.832595715 30 0.523598776 30 1.5 1.5106 1.850049007 30 0.523598776 30 1.5 1.5107 1.8675023 30 0.523598776 30 1.5 1.5108 1.884955592 30 0.523598776 30 1.5 1.5109 1.902408885 30 0.523598776 30 1.5 1.5110 1.919862177 30 0.523598776 30 1.5 1.5111 1.93731547 30 0.523598776 30 1.5 1.5112 1.954768762 30 0.523598776 30 1.5 1.5113 1.972222055 30 0.523598776 30 1.5 1.5114 1.989675347 30 0.523598776 30 1.5 1.5115 2.00712864 30 0.523598776 30 1.5 1.5116 2.024581932 30 0.523598776 30 1.5 1.5117 2.042035225 30 0.523598776 30 1.5 1.5118 2.059488517 30 0.523598776 30 1.5 1.5119 2.07694181 30 0.523598776 30 1.5 1.5120 2.094395102 60 1.047197551 30 3 1.5121 2.111848395 60 1.047197551 30 3 1.55122 2.129301687 60 1.047197551 30 3 1.6123 2.14675498 60 1.047197551 30 3 1.65124 2.164208272 60 1.047197551 30 3 1.7125 2.181661565 60 1.047197551 30 3 1.75126 2.199114858 60 1.047197551 30 3 1.8127 2.21656815 60 1.047197551 30 3 1.85128 2.234021443 60 1.047197551 30 3 1.9129 2.251474735 60 1.047197551 30 3 1.95130 2.268928028 60 1.047197551 30 3 2131 2.28638132 60 1.047197551 30 3 2.05132 2.303834613 60 1.047197551 30 3 2.1133 2.321287905 60 1.047197551 30 3 2.15

134 2.338741198 60 1.047197551 30 3 2.2135 2.35619449 60 1.047197551 30 3 2.25136 2.373647783 60 1.047197551 30 3 2.3137 2.391101075 60 1.047197551 30 3 2.35138 2.408554368 60 1.047197551 30 3 2.4139 2.42600766 60 1.047197551 30 3 2.45140 2.443460953 60 1.047197551 30 3 2.5141 2.460914245 60 1.047197551 30 3 2.55142 2.478367538 60 1.047197551 30 3 2.6143 2.49582083 60 1.047197551 30 3 2.65144 2.513274123 60 1.047197551 30 3 2.7145 2.530727415 60 1.047197551 30 3 2.75146 2.548180708 60 1.047197551 30 3 2.8147 2.565634 60 1.047197551 30 3 2.85148 2.583087293 60 1.047197551 30 3 2.9149 2.600540585 60 1.047197551 30 3 2.95150 2.617993878 60 1.047197551 30 3 3151 2.635447171 60 1.047197551 30 3 3.05152 2.652900463 60 1.047197551 30 3 3.1153 2.670353756 60 1.047197551 30 3 3.15154 2.687807048 60 1.047197551 30 3 3.2155 2.705260341 60 1.047197551 30 3 3.25156 2.722713633 60 1.047197551 30 3 3.3157 2.740166926 60 1.047197551 30 3 3.35158 2.757620218 60 1.047197551 30 3 3.4159 2.775073511 60 1.047197551 30 3 3.45160 2.792526803 60 1.047197551 30 3 3.5161 2.809980096 60 1.047197551 30 3 3.55162 2.827433388 60 1.047197551 30 3 3.6163 2.844886681 60 1.047197551 30 3 3.65164 2.862339973 60 1.047197551 30 3 3.7165 2.879793266 60 1.047197551 30 3 3.75166 2.897246558 60 1.047197551 30 3 3.8167 2.914699851 60 1.047197551 30 3 3.85168 2.932153143 60 1.047197551 30 3 3.9169 2.949606436 60 1.047197551 30 3 3.95170 2.967059728 60 1.047197551 30 3 4171 2.984513021 60 1.047197551 30 3 4.05172 3.001966313 60 1.047197551 30 3 4.1173 3.019419606 60 1.047197551 30 3 4.15174 3.036872898 60 1.047197551 30 3 4.2175 3.054326191 60 1.047197551 30 3 4.25176 3.071779484 60 1.047197551 30 3 4.3177 3.089232776 60 1.047197551 30 3 4.35178 3.106686069 60 1.047197551 30 3 4.4

179 3.124139361 60 1.047197551 30 3 4.45180 3.141592654 30 0.523598776 30 3 4.5181 3.159045946 30 0.523598776 30 3 4.5182 3.176499239 30 0.523598776 30 3 4.5183 3.193952531 30 0.523598776 30 3 4.5184 3.211405824 30 0.523598776 30 3 4.5185 3.228859116 30 0.523598776 30 3 4.5186 3.246312409 30 0.523598776 30 3 4.5187 3.263765701 30 0.523598776 30 3 4.5188 3.281218994 30 0.523598776 30 3 4.5189 3.298672286 30 0.523598776 30 3 4.5190 3.316125579 30 0.523598776 30 3 4.5191 3.333578871 30 0.523598776 30 3 4.5192 3.351032164 30 0.523598776 30 3 4.5193 3.368485456 30 0.523598776 30 3 4.5194 3.385938749 30 0.523598776 30 3 4.5195 3.403392041 30 0.523598776 30 3 4.5196 3.420845334 30 0.523598776 30 3 4.5197 3.438298626 30 0.523598776 30 3 4.5198 3.455751919 30 0.523598776 30 3 4.5199 3.473205211 30 0.523598776 30 3 4.5200 3.490658504 30 0.523598776 30 3 4.5201 3.508111797 30 0.523598776 30 3 4.5202 3.525565089 30 0.523598776 30 3 4.5203 3.543018382 30 0.523598776 30 3 4.5204 3.560471674 30 0.523598776 30 3 4.5205 3.577924967 30 0.523598776 30 3 4.5206 3.595378259 30 0.523598776 30 3 4.5207 3.612831552 30 0.523598776 30 3 4.5208 3.630284844 30 0.523598776 30 3 4.5209 3.647738137 30 0.523598776 30 3 4.5210 3.665191429 60 1.047197551 30 3 4.5211 3.682644722 60 1.047197551 30 3 4.4999086649212 3.700098014 60 1.047197551 30 3 4.49927052213 3.717551307 60 1.047197551 30 3 4.4975447465214 3.735004599 60 1.047197551 30 3 4.4942024418215 3.752457892 60 1.047197551 30 3 4.4887324146216 3.769911184 60 1.047197551 30 3 4.4806467851217 3.787364477 60 1.047197551 30 3 4.4694863307218 3.804817769 60 1.047197551 30 3 4.4548255172219 3.822271062 60 1.047197551 30 3 4.4362771611220 3.839724354 60 1.047197551 30 3 4.4134966716221 3.857177647 60 1.047197551 30 3 4.386185826222 3.874630939 60 1.047197551 30 3 4.3540960372223 3.892084232 60 1.047197551 30 3 4.3170310772

224 3.909537524 60 1.047197551 30 3 4.274849227225 3.926990817 60 1.047197551 30 3 4.2274648293226 3.94444411 60 1.047197551 30 3 4.174849227227 3.961897402 60 1.047197551 30 3 4.1170310772228 3.979350695 60 1.047197551 30 3 4.0540960372229 3.996803987 60 1.047197551 30 3 3.986185826230 4.01425728 60 1.047197551 30 3 3.9134966716231 4.031710572 60 1.047197551 30 3 3.8362771611232 4.049163865 60 1.047197551 30 3 3.7548255172233 4.066617157 60 1.047197551 30 3 3.6694863307234 4.08407045 60 1.047197551 30 3 3.5806467851235 4.101523742 60 1.047197551 30 3 3.4887324146236 4.118977035 60 1.047197551 30 3 3.3942024418237 4.136430327 60 1.047197551 30 3 3.2975447465238 4.15388362 60 1.047197551 30 3 3.19927052239 4.171336912 60 1.047197551 30 3 3.0999086649240 4.188790205 60 1.047197551 30 3 3241 4.206243497 60 1.047197551 30 3 2.9000913351242 4.22369679 60 1.047197551 30 3 2.80072948243 4.241150082 60 1.047197551 30 3 2.7024552535244 4.258603375 60 1.047197551 30 3 2.6057975582245 4.276056667 60 1.047197551 30 3 2.5112675854246 4.29350996 60 1.047197551 30 3 2.4193532149247 4.310963252 60 1.047197551 30 3 2.3305136693248 4.328416545 60 1.047197551 30 3 2.2451744828249 4.345869837 60 1.047197551 30 3 2.1637228389250 4.36332313 60 1.047197551 30 3 2.0865033284251 4.380776423 60 1.047197551 30 3 2.013814174252 4.398229715 60 1.047197551 30 3 1.9459039628253 4.415683008 60 1.047197551 30 3 1.8829689228254 4.4331363 60 1.047197551 30 3 1.825150773255 4.450589593 60 1.047197551 30 3 1.7725351707256 4.468042885 60 1.047197551 30 3 1.725150773257 4.485496178 60 1.047197551 30 3 1.6829689228258 4.50294947 60 1.047197551 30 3 1.6459039628259 4.520402763 60 1.047197551 30 3 1.613814174260 4.537856055 60 1.047197551 30 3 1.5865033284261 4.555309348 60 1.047197551 30 3 1.5637228389262 4.57276264 60 1.047197551 30 3 1.5451744828263 4.590215933 60 1.047197551 30 3 1.5305136693264 4.607669225 60 1.047197551 30 3 1.5193532149265 4.625122518 60 1.047197551 30 3 1.5112675854266 4.64257581 60 1.047197551 30 3 1.5057975582267 4.660029103 60 1.047197551 30 3 1.5024552535268 4.677482395 60 1.047197551 30 3 1.50072948

269 4.694935688 60 1.047197551 30 3 1.5000913351270 4.71238898 30 0.523598776 30 1.5 1.5271 4.729842273 30 0.523598776 30 1.5 1.5272 4.747295565 30 0.523598776 30 1.5 1.5273 4.764748858 30 0.523598776 30 1.5 1.5274 4.78220215 30 0.523598776 30 1.5 1.5275 4.799655443 30 0.523598776 30 1.5 1.5276 4.817108736 30 0.523598776 30 1.5 1.5277 4.834562028 30 0.523598776 30 1.5 1.5278 4.852015321 30 0.523598776 30 1.5 1.5279 4.869468613 30 0.523598776 30 1.5 1.5280 4.886921906 30 0.523598776 30 1.5 1.5281 4.904375198 30 0.523598776 30 1.5 1.5282 4.921828491 30 0.523598776 30 1.5 1.5283 4.939281783 30 0.523598776 30 1.5 1.5284 4.956735076 30 0.523598776 30 1.5 1.5285 4.974188368 30 0.523598776 30 1.5 1.5286 4.991641661 30 0.523598776 30 1.5 1.5287 5.009094953 30 0.523598776 30 1.5 1.5288 5.026548246 30 0.523598776 30 1.5 1.5289 5.044001538 30 0.523598776 30 1.5 1.5290 5.061454831 30 0.523598776 30 1.5 1.5291 5.078908123 30 0.523598776 30 1.5 1.5292 5.096361416 30 0.523598776 30 1.5 1.5293 5.113814708 30 0.523598776 30 1.5 1.5294 5.131268001 30 0.523598776 30 1.5 1.5295 5.148721293 30 0.523598776 30 1.5 1.5296 5.166174586 30 0.523598776 30 1.5 1.5297 5.183627878 30 0.523598776 30 1.5 1.5298 5.201081171 30 0.523598776 30 1.5 1.5299 5.218534463 30 0.523598776 30 1.5 1.5300 5.235987756 60 1.047197551 30 1.5 1.5301 5.253441049 60 1.047197551 30 1.5 1.4916362216302 5.270894341 60 1.047197551 30 1.5 1.4830901733303 5.288347634 60 1.047197551 30 1.5 1.4741815822304 5.305800926 60 1.047197551 30 1.5 1.4647341473305 5.323254219 60 1.047197551 30 1.5 1.4545774715306 5.340707511 60 1.047197551 30 1.5 1.4435489284307 5.358160804 60 1.047197551 30 1.5 1.4314954436308 5.375614096 60 1.047197551 30 1.5 1.4182751724309 5.393067389 60 1.047197551 30 1.5 1.4037590537310 5.410520681 60 1.047197551 30 1.5 1.3878322239311 5.427973974 60 1.047197551 30 1.5 1.3703952753312 5.445427266 60 1.047197551 30 1.5 1.3513653457313 5.462880559 60 1.047197551 30 1.5 1.3306770257

314 5.480333851 60 1.047197551 30 1.5 1.3082830757315 5.497787144 60 1.047197551 30 1.5 1.2841549431316 5.515240436 60 1.047197551 30 1.5 1.2582830757317 5.532693729 60 1.047197551 30 1.5 1.2306770257318 5.550147021 60 1.047197551 30 1.5 1.2013653457319 5.567600314 60 1.047197551 30 1.5 1.1703952753320 5.585053606 60 1.047197551 30 1.5 1.1378322239321 5.602506899 60 1.047197551 30 1.5 1.1037590537322 5.619960191 60 1.047197551 30 1.5 1.0682751724323 5.637413484 60 1.047197551 30 1.5 1.0314954436324 5.654866776 60 1.047197551 30 1.5 0.9935489284325 5.672320069 60 1.047197551 30 1.5 0.9545774715326 5.689773362 60 1.047197551 30 1.5 0.9147341473327 5.707226654 60 1.047197551 30 1.5 0.8741815822328 5.724679947 60 1.047197551 30 1.5 0.8330901733329 5.742133239 60 1.047197551 30 1.5 0.7916362216330 5.759586532 60 1.047197551 30 1.5 0.75331 5.777039824 60 1.047197551 30 1.5 0.7083637784332 5.794493117 60 1.047197551 30 1.5 0.6669098267333 5.811946409 60 1.047197551 30 1.5 0.6258184178334 5.829399702 60 1.047197551 30 1.5 0.5852658527335 5.846852994 60 1.047197551 30 1.5 0.5454225285336 5.864306287 60 1.047197551 30 1.5 0.5064510716337 5.881759579 60 1.047197551 30 1.5 0.4685045564338 5.899212872 60 1.047197551 30 1.5 0.4317248276339 5.916666164 60 1.047197551 30 1.5 0.3962409463340 5.934119457 60 1.047197551 30 1.5 0.3621677761341 5.951572749 60 1.047197551 30 1.5 0.3296047247342 5.969026042 60 1.047197551 30 1.5 0.2986346543343 5.986479334 60 1.047197551 30 1.5 0.2693229743344 6.003932627 60 1.047197551 30 1.5 0.2417169243345 6.021385919 60 1.047197551 30 1.5 0.2158450569346 6.038839212 60 1.047197551 30 1.5 0.1917169243347 6.056292504 60 1.047197551 30 1.5 0.1693229743348 6.073745797 60 1.047197551 30 1.5 0.1486346543349 6.091199089 60 1.047197551 30 1.5 0.1296047247350 6.108652382 60 1.047197551 30 1.5 0.1121677761351 6.126105675 60 1.047197551 30 1.5 0.0962409463352 6.143558967 60 1.047197551 30 1.5 0.0817248276353 6.16101226 60 1.047197551 30 1.5 0.0685045564354 6.178465552 60 1.047197551 30 1.5 0.0564510716355 6.195918845 60 1.047197551 30 1.5 0.0454225285356 6.213372137 60 1.047197551 30 1.5 0.0352658527357 6.23082543 60 1.047197551 30 1.5 0.0258184178358 6.248278722 60 1.047197551 30 1.5 0.0169098267

359 6.265732015 60 1.047197551 30 1.5 0.0083637784360 6.283185307 60 1.047197551 30 1.5 -3.21698E-16

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40

Column J

V=f'(θ) X=(C+f(θ))COS(θ)-f'(θ)SEN(θ) Y=(C+f(θ))SEN(θ)+f'(θ)COS(θ)0 30 00 29.9954308546917 0.5235721931185050 29.9817248105729 1.046984901075030 29.9588860426372 1.570078687288310 29.9269215077947 2.092694212323760 29.8858409427524 2.614672282429750 29.8356568610482 3.13585389802960 29.7763845492397 3.656080302154420 29.7080420622471 4.175193028801960 29.6306502178541 4.693033951206930 29.5442325903662 5.209445330007910 29.4488155034299 5.724269861296340 29.3444280220142 6.237350724532780 29.2311019435571 6.748531630315950 29.1088717882799 7.257656867990030 28.9777747886721 7.764571353075620 28.8378508781496 8.269120674509970 28.6891426788911 8.77115114168210 28.5316954888546 9.270509831248420 28.3655572679795 9.76704463371470 28.1907786235773 10.26060429977010 28.0074127949161 10.7510384863590 27.8155156370036 11.23819780247740 27.6151456035732 11.72193385467820 27.406363729278 12.2020992922740 27.1892336110995 12.6785478522210 26.963821388975 13.15113440367230 26.730195725651 13.61971499218640 26.4884277857678 14.08414688357670 26.2385912141819 14.54428860739010 25.9807621135332 15

0.007846807 25.7324067992722 15.47074422544530.031301256 25.4672581508165 15.95061886098190.070106376 25.1848346618364 16.43881513248310.12383701 24.8847821567723 16.9343719285663

0.191904473 24.5668834503893 17.43618908654630.273563005 24.2310660807715 17.94304247631180.367917936 23.8774079744113 18.45360065221060.473935496 23.5061409324667 18.96644282191690.590454132 23.1176518595271 19.4800778639150.716197244 22.7124816898698 19.99296411189490.849787162 22.2913220007052 20.50352961521670.989760248 21.8550093367768 21.01019257976441.134582928 21.404517305388 21.5113816930417

1.282668493 20.9409465349378 22.00555604124521.432394488 20.4655126228646 22.49122433421811.582120482 19.9795322300087 22.96696316649151.730206048 19.4844075073455 23.43143405887121.875028727 18.9816090673762 23.8833990449682.015001813 18.472657735772 24.32173459038012.148591732 17.9591053388082 24.74544365856662.274334843 17.4425147983739 25.15366576639812.39085348 16.9244398186515 25.5456849034769

2.496871039 16.406404456722 25.92093522213922.591225971 15.8898828732413 26.27900443905982.672884503 15.3762795588582 26.61963492408722.740951966 14.8669103272165 26.94272248680452.794682599 14.3629843562365 27.24831290582562.833487719 13.8655875460401 27.53659627948022.856942169 13.3756674445398 27.80789930880812.864788976 12.8940199706019 28.06267565419852.856942169 12.4212781401121 28.30149453512492.833487719 11.9579029725664 28.5250277678162.794682599 11.504176725388 28.73403545801252.740951966 11.0601985704495 28.92935058484182.672884503 10.6258827927551 29.11186272704782.591225971 10.2009595553926 29.28250119410392.496871039 9.78497823822798 29.4422178319722.39085348 9.37731332092066 29.5919697763459

2.274334843 8.97717274421919 29.7327024251012.148591732 8.58360864769749 29.86533289640142.015001813 8.19553034762932 29.99073422957421.875028727 7.81171938608405 30.10972057261511.730206048 7.43084645203871 30.22303358324171.582120482 7.05148994778669 30.33133025004341.432394488 6.6721559495897 30.43517231679681.282668493 6.29129929072802 30.53501746680341.134582928 5.9073454781641 30.63121239556150.989760248 5.5187131412013 30.7239878696520.849787162 5.12383670198586 30.81345583787340.716197244 4.72118895359956 30.89960862788720.590454132 4.30930323188846 30.98232022844840.473935496 3.88679487207232 31.06134962419470.367917936 3.45238165051475 31.13634611747070.273563005 3.00490292567713 31.20685654026540.191904473 2.54333721003755 31.27233422952060.12383701 2.06681792637733 31.3321496112895

0.070106376 1.5746471270128 31.38560221390350.031301256 1.06630698291855 31.43193390784

0.007846807 0.541468880841964 31.47034315071030 1.92881870865708E-15 31.50 -0.54975080277443 31.49520239742630 -1.09933414612877 31.48081105110150 -1.64858262165272 31.45683034476910 -2.19732892293995 31.42326758318450 -2.74540589655123 31.380132989890 -3.29264659293108 31.32743970410060 -3.83888431726214 31.26520377670160 -4.38395268024206 31.19344416535950 -4.92768564876728 31.11218272874680 -5.46991759650831 31.02144421988460 -6.01048335436116 30.92125627860140 -6.54921826075941 30.81164942311490 -7.08595821183174 30.69265704073490 -7.62053971138954 30.56431537769390 -8.15279992072941 30.42666352810570 -8.68257670823547 30.2797434220570 -9.20970869876621 30.12359981283560 -9.73403532281084 29.95828026329730 -10.2553968654004 29.78383513137850 -10.7736345147586 29.60031755475610 -11.288590410677 29.40778343466190 -11.8001076926012 29.20629141885380 -12.3080305474121 28.99590288375190 -12.8122042568877 28.77668191574190 -13.312475244832 28.54869529165450 -13.8086911238559 28.31201245842380 -14.3007007417957 28.06670551193360 -14.7883542277556 27.81284917505620 -15.2715030377596 27.5505207748910 -15.75 27.2798002192098

0.015693614 -16.2629033159541 27.03554552853410.062602513 -16.7985386913175 26.76514556117490.140212753 -17.355417767038 26.46755813722830.24767402 -17.9317461082164 26.1419934957258

0.383808946 -18.5254497370878 25.78793363854230.547126009 -19.1342052622882 25.4051478218570.735835872 -19.7554731445878 24.99370391247470.947870991 -20.3865335970526 24.55397538714181.180908265 -21.0245245829096 24.08664381753061.432394488 -21.6664813477234 23.59269675084881.699574325 -22.3093769042039 23.07342096506131.979520497 -22.9501628783014 22.53039114744792.269165856 -23.5858101243022 21.9654541146297

2.565336986 -24.2133485244089 21.3807087602242.864788976 -24.8299054046196 20.77848198191273.164240965 -25.4327420233314 20.1613009019363.460412095 -26.019287621596 19.53186175290983.750057454 -26.5871705638304 18.8929958535254.030003627 -27.1342461444111 18.24763314531464.297183463 -27.6586206882424 17.598763801554.548669686 -28.1586716312725 16.94939845182754.78170696 -28.6330633291623 16.3025275905217

4.993742079 -29.0807584079305 15.66108075361065.182451942 -29.5010245384335 15.02788605614715.345769005 -29.8934365859382 14.40563068171155.481903931 -30.2578741557904 13.79682290551675.589365199 -30.5945146252067 13.20375621454485.666975439 -30.9038218185023 12.62847606143395.713884338 -31.186530547606 12.0727497541435.729577951 -31.4436273005406 11.53803994120395.713884338 -31.676327416777 11.02548210320355.666975439 -31.8860491391526 10.53586640573495.589365199 -32.0743849766565 10.0696242081995.481903931 -32.2430708501573 9.626819457410355.345769005 -32.3939535235511 9.20714512590035.182451942 -32.5289568453936 8.809924783124844.993742079 -32.6500473405494 8.434119314511654.78170696 -32.7591996975383 8.07833872948783

4.548669686 -32.8583626950318 7.740858926397324.297183463 -32.9494261004045 7.419643210613424.030003627 -33.0341890545679 7.112368293229683.750057454 -33.1143304308183 6.81645443248213.460412095 -33.1913816215368 6.529099319479443.164240965 -33.2667021658447 6.247315254788912.864788976 -33.3414585843551 5.967969113757572.565336986 -33.4166067347409 5.68782455686552.269165856 -33.4928779447437 5.403585907528051.979520497 -33.5707691183905 5.111943094096461.699574325 -33.6505369474883 4.80961703574021.432394488 -33.7321962949264 4.49340484369161.180908265 -33.8155227499354 4.160224210130330.947870991 -33.9000592892547 3.807156366782780.735835872 -33.9851269131638 3.431487013982810.547126009 -34.0698390625349 3.030744648226150.383808946 -34.1531195634264 2.602735751766850.24767402 -34.2337237901741 2.14557635104709

0.140212753 -34.3102626873017 1.65771950110170.062602513 -34.3812292456358 1.1379783098158

0.015693614 -34.4450269894634 0.5855441782213540 -34.5 4.22503145705837E-150 -34.4947454828955 -0.602108022086270 -34.4789835321588 -1.204032636236280 -34.4527189490328 -1.805590490381550 -34.4159597339639 -2.406598344172310 -34.3687170841652 -3.00687312479420 -34.3110053902054 -3.606231982734030 -34.2428422316256 -4.20449234747760 -34.1642483715842 -4.801471983122260 -34.0752477505323 -5.396989043887960 -33.9758674789212 -5.99086212950910 -33.8661378289444 -6.582910340490790 -33.7460922253163 -7.172953333212690 -33.6157672350906 -7.760811374863340 -33.4752025565219 -8.346305398188530 -33.3244410069729 -8.929257056036950 -33.163528509872 -9.509488775686470 -32.9925140807247 -10.08682381293440 -32.8114498121828 -10.66108630593570 -32.6203908581764 -11.23210132877190 -32.4193954171138 -11.79969494473560 -32.2085247141535 -12.36369425931290 -31.9878429825542 -12.9239274728490 -31.7574174441092 -13.48022393287990 -31.5173182886697 -14.03241418611510 -31.2676186527644 -14.58033003005410 -31.0083945973213 -15.12380456422320 -30.7397250844987 -15.66267224101430 -30.461691953633 -16.19676891611320 -30.1743798963092 -16.72593189849860 -29.8778764305631 -17.25

-0.01569361 -29.5802763933523 -17.7553144907847-0.06260251 -29.2902149606063 -18.2287381089717-0.14021275 -29.0084407834828 -18.6711171722887-0.24767402 -28.7354874138795 -19.0835821481701-0.38380895 -28.4716594300198 -19.4675263497107-0.54712601 -28.2170218254818 -19.8245814304216-0.73583587 -27.971392879341 -20.1565900569714-0.94787099 -27.7343406741282 -20.465576175858-1.18090826 -27.5051833743817 -20.7537133204569-1.43239449 -27.2829933225054 -21.0232914287176-1.69957432 -27.0666049512577 -21.2766826586142-1.9795205 -26.8546264543635 -21.5163066980896

-2.26916586 -26.6454550993102 -21.7445960685651

-2.56533699 -26.4372960102559 -21.9639619161146-2.86478898 -26.2281841949584 -22.1767607722514-3.16424096 -26.0160095385875 -22.3852627471484-3.4604121 -25.7985444399574 -22.5916215923439

-3.75005745 -25.573473722866 -22.797847037981-4.03000363 -25.3384264175034 -23.0057797719079-4.29718346 -25.0910089748911 -23.2170693851118-4.54866969 -24.8288394515391 -23.4331555606397-4.78170696 -24.5495821823889 -23.6552527321077-4.99374208 -24.2509824479485 -23.8843383838851-5.18245194 -23.9309006365627 -24.1211451089052-5.34576901 -23.587345405087 -24.3661564826239-5.48190393 -23.2185053508698 -24.6196067538149-5.5893652 -22.8227787247819 -24.8814842955044

-5.66697544 -22.3988007388553 -25.1515387032789-5.71388434 -21.9454680525959 -25.4292913742804-5.72957795 -21.4619600587961 -25.7140493492323-5.71388434 -20.9477566321928 -26.0049221525721-5.66697544 -20.4026520519894 -26.3008413228954-5.5893652 -19.8267648614307 -26.600582288068

-5.48190393 -19.2205434835273 -26.9027882070794-5.34576901 -18.5847674708905 -27.2059953744635-5.18245194 -17.9205443286015 -27.5086597632545-4.99374208 -17.2293019112381 -27.8091842692646-4.78170696 -16.5127764576982 -28.1059462131115-4.54866969 -15.7729963894128 -28.3973246569773-4.29718346 -15.012262058007 -28.6817271004751-4.03000363 -14.2331216865816 -28.9576151341202-3.75005745 -13.4383438036962 -29.2235286494739-3.4604121 -12.6308865200245 -29.4781082317234

-3.16424096 -11.8138640437957 -29.7201153928398-2.86478898 -10.9905108718256 -29.9484503409813-2.56533699 -10.1641441275968 -30.1621670239079-2.26916586 -9.33812454594164 -30.3604852301427-1.9795205 -8.51581662499103 -30.542799580766

-1.69957432 -7.70054847986119 -30.7086852962519-1.43239449 -6.89557193883697 -30.8579006758761-1.18090826 -6.10402342147093 -30.9903862810866-0.94787099 -5.32888612904975 -31.1062608680076-0.73583587 -4.57295406140415 -31.2058141670971-0.54712601 -3.83879835026765 -31.2894966590881-0.38380895 -3.12873636866291 -31.3579065449039-0.24767402 -2.4448040385295 -31.4117741525157-0.14021275 -1.78873171553787 -31.4519440649849-0.06260251 -1.16192398136526 -31.4793552905824

-0.01569361 -0.565443620335328 -31.49501982732130 -5.78645612597124E-15 -31.50 0.549750802774419 -31.49520239742630 1.09933414612879 -31.48081105110150 1.64858262165273 -31.45683034476910 2.19732892293994 -31.42326758318450 2.74540589655122 -31.380132989890 3.29264659293107 -31.32743970410060 3.83888431726215 -31.26520377670160 4.38395268024206 -31.19344416535950 4.92768564876727 -31.11218272874680 5.46991759650829 -31.02144421988460 6.01048335436114 -30.92125627860140 6.5492182607594 -30.81164942311490 7.08595821183175 -30.69265704073490 7.62053971138953 -30.56431537769390 8.15279992072942 -30.42666352810570 8.68257670823548 -30.2797434220570 9.20970869876621 -30.12359981283560 9.73403532281084 -29.95828026329730 10.2553968654004 -29.78383513137850 10.7736345147585 -29.60031755475610 11.2885904106769 -29.40778343466190 11.8001076926012 -29.20629141885380 12.3080305474121 -28.99590288375190 12.8122042568877 -28.77668191574190 13.312475244832 -28.54869529165450 13.8086911238559 -28.31201245842380 14.3007007417957 -28.06670551193360 14.7883542277555 -27.81284917505620 15.2715030377596 -27.5505207748910 15.75 -27.2798002192098

-0.00784681 16.2126656690814 -26.9976422190901-0.03130126 16.6569510096594 -26.7157618212894-0.07010638 17.083271730386 -26.4346524122449-0.12383701 17.492190510657 -26.154695595687-0.19190447 17.8844055115862 -25.8761533218799

-0.273563 18.2607372201441 -25.5991617461519-0.36791794 18.6221138294817 -25.3237269363954-0.4739355 18.9695553777501 -25.0497225220888

-0.59045413 19.3041568836758 -24.7768893486607-0.71619724 19.6270707295371 -24.5048371711145-0.84978716 19.9394885508477 -24.2330483902007-0.98976025 20.2426228968741 -23.9608838035174-1.13458293 20.5376889270494 -23.6875903132159

-1.28266849 20.8258864053931 -23.4123105019323-1.43239449 21.1083822482742 -23.1340939596277-1.58212048 21.3862938703785 -22.8519102166295-1.73020605 21.6606735597327 -22.5646631127456-1.87502873 21.9324940953262 -22.2712064092623-2.01500181 22.2026358005258 -21.9703604302924-2.14859173 22.4718752024177 -21.6609295026238-2.27433484 22.7408754417897 -21.3417199492169-2.39085348 23.0101785510786 -21.0115583810156-2.49687104 23.2801996886674 -20.6693100249703-2.59122597 23.5512233878636 -20.3138968232147-2.6728845 23.823401848182 -19.9443150392743

-2.74095197 24.0967552656547 -19.5596521120068-2.7946826 24.3711741682557 -19.1591025066326

-2.83348772 24.6464236926257 -18.7419823246012-2.85694217 24.9221497095541 -18.307742449987-2.86478898 25.1978866785444 -17.8559800293981-2.85694217 25.4730670866643 -17.3864481047504-2.83348772 25.7470323041276 -16.8990632433844-2.7946826 26.0190446690029 -16.393911037534

-2.74095197 26.2883005963876 -15.8712493746982-2.6728845 26.5539444935714 -15.3315094115994

-2.59122597 26.8150832523283 -14.775294216677-2.49687104 27.0708010826707 -14.203375079015-2.39085348 27.3201744492588 -13.6166855147365-2.27433484 27.5622868722081 -13.0163130347569-2.14859173 27.7962433582685 -12.4034887698732-2.01500181 28.0211842361615 -11.7795750800322-1.87502873 28.2362981811409 -11.1460513037858-1.73020605 28.440834228385 -10.5044978310107-1.58212048 28.634112592415 -9.85657870651301-1.43239449 28.8155341300669 -9.20402299382093-1.28266849 28.9845883073147 -8.5486051469463-1.13458293 29.1408595550841 -7.89212465290847-0.98976025 29.2840319257188 -7.23638521912937-0.84978716 29.4138919895561 -6.58317378725477-0.71619724 29.5303299396959 -5.93423965842042-0.59045413 29.6333389020669 -5.29127401440109-0.4739355 29.7230124768514 -4.65589011446113

-0.36791794 29.7995405657818 -4.02960443911758-0.273563 29.8632035673224 -3.41381903955978

-0.19190447 29.9143650478801 -2.80980533530487-0.12383701 29.9534630215368 -2.21868958304113-0.07010638 29.9809999929977 -1.64144021679668-0.03130126 29.9975319381537 -1.07885723389059

-0.00784681 30.0036564135621 -0.5315637729496550 30 -7.34788079488412E-15

-40 -30 -20 -10 0 10 20 30 40

-40

-30

-20

-10

0

10

20

30

40

Column J

0 1 2 3 4 5 6 7-1

0

1

2

3

4

5

S=f(θ)

S=f(θ)

0 50 100 150 200 250 300 350 400

-8

-6

-4

-2

0

2

4

6

8

V=f'(θ)

V=f'(θ)

30,029.9954308546917,0.52357219311850529.9817248105729,1.0469849010750329.9588860426372,1.5700786872883129.9269215077947,2.0926942123237629.8858409427524,2.6146722824297529.8356568610482,3.1358538980296

29.7763845492397,3.6560803021544229.7080420622471,4.1751930288019629.6306502178541,4.6930339512069329.5442325903662,5.2094453300079129.4488155034299,5.7242698612963429.3444280220142,6.2373507245327829.2311019435571,6.7485316303159529.1088717882799,7.2576568679900328.9777747886721,7.7645713530756228.8378508781496,8.2691206745099728.6891426788911,8.7711511416821

28.5316954888546,9.2705098312484228.3655572679795,9.7670446337147

28.1907786235773,10.260604299770128.0074127949161,10.751038486359

27.8155156370036,11.238197802477427.6151456035732,11.7219338546782

27.406363729278,12.20209929227427.1892336110995,12.67854785222126.963821388975,13.151134403672326.730195725651,13.6197149921864

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