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DZIENNE I NOCNE ZMIANY TEMPERATURY |
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1. |
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Celem cwiczenia było znlezienie 5 dowolnych miejscowości z całego świata (każda na innym kontynencie) i |
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zbadanie dla nich zmian temperatury w zależności od wybranego dla nich materiału. |
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2.Tabela 1 |
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Lp |
Kontynent |
Miejscowość |
Średnia temp.w nocy |
Średnia temp.w dzień |
Materiał |
Głębokość tłumienia |
Opóźnienie |
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1 |
Europa |
Wiedeń |
4 |
12,6 |
Papier |
0,062060005572102 |
221642,877043222 |
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2 |
Afryka |
Kair |
21 |
27,3 |
Żelazo |
0,791861737 |
4,82371916 |
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3 |
Azja |
Laos |
11,4 |
27 |
Beton |
0,137975138800791 |
99693,0193647337 |
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4 |
Ameryka Pł. |
Waszyngton |
9 |
19 |
Korek |
0,070358762 |
54,28916799 |
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5 |
Australia |
Sydney |
16,5 |
23,6 |
Piasek |
0,07831 |
175589,89 |
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3.Tabela2 |
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Materiał |
a[m2/s] |
v[m/s] |
A[1/m] |
ω[1/s] |
xe[m] |
t[h] |
Tav[oC] |
T0[oC] |
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Papier |
1,4E-07 |
4,51244663199472E-06 |
16,1158808285526 |
7,27220521664304E-05 |
0,062050595349917 |
60,5489806302859 |
8,05797677530237 |
4,54202322469763 |
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Żelazo |
2,23E-07 |
5,69508869695881E-06 |
12,7692571680691 |
7,27220521664304E-05 |
0,078313091109216 |
47,975379885084 |
6,38466494506062 |
20,9153350549394 |
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Beton |
6,92E-07 |
1,00323138008308E-05 |
7,24878164799912 |
7,27220521664304E-05 |
0,137954217489229 |
27,2343996749006 |
3,62442718502564 |
23,3755728149744 |
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Korek |
4,49E-07 |
8,08111396067736E-06 |
8,99901331923982 |
7,27220521664304E-05 |
0,111123293690655 |
33,8101956048824 |
4,49954302064599 |
14,500456979354 |
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Piasek |
2,23E-07 |
5,69508869695881E-06 |
12,7692571680691 |
7,27220521664304E-05 |
0,078313091109216 |
47,975379885084 |
6,38466494506062 |
17,2153350549394 |
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Miejscowość |
Materiał |
x0 |
xk |
doba |
omega |
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Wiedeń |
Papier |
0 |
0,5 |
86400 |
7,27220521664304E-05 |
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Lp. |
x |
T |
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1 |
0 |
12,6 |
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2 |
0,005 |
12,2347672110843 |
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3 |
0,01 |
11,8738558450867 |
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4 |
0,015 |
11,520946666405 |
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5 |
0,02 |
11,1790767110408 |
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6 |
0,025 |
10,8506987152548 |
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7 |
0,03 |
10,5377386990087 |
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8 |
0,035 |
10,2416512889492 |
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9 |
0,04 |
9,963472454579 |
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10 |
0,045 |
9,70386941082689 |
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11 |
0,05 |
9,46318751090918 |
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12 |
0,055 |
9,24149401564772 |
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13 |
0,06 |
9,03861867977365 |
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14 |
0,065 |
8,85419114273377 |
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15 |
0,07 |
8,68767515165846 |
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16 |
0,075 |
8,53839967798602 |
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17 |
0,08 |
8,40558701730207 |
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18 |
0,085 |
8,28837798476486 |
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19 |
0,09 |
8,1858543365596 |
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20 |
0,095 |
8,09705856164267 |
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21 |
0,1 |
8,02101119807099 |
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22 |
0,105 |
7,95672583490247 |
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23 |
0,11 |
7,90322196442109 |
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24 |
0,115 |
7,85953585067187 |
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25 |
0,12 |
7,82472957935152 |
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26 |
0,125 |
7,79789845132314 |
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27 |
0,13 |
7,77817687771567 |
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28 |
0,135 |
7,76474292900909 |
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29 |
0,14 |
7,75682168394921 |
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30 |
0,145 |
7,7536875168066 |
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31 |
0,15 |
7,75466545359683 |
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32 |
0,155 |
7,75913171959233 |
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33 |
0,16 |
7,76651359193677 |
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34 |
0,165 |
7,77628866255854 |
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35 |
0,17 |
7,7879836079872 |
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36 |
0,175 |
7,80117255420517 |
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37 |
0,18 |
7,81547511640152 |
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38 |
0,185 |
7,8305541855012 |
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39 |
0,19 |
7,8461135256798 |
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40 |
0,195 |
7,86189523978056 |
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41 |
0,2 |
7,87767715266175 |
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42 |
0,205 |
7,89327015603925 |
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43 |
0,21 |
7,90851555236623 |
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44 |
0,215 |
7,92328242971547 |
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45 |
0,22 |
7,93746509450063 |
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46 |
0,225 |
7,95098058418529 |
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47 |
0,23 |
7,96376627787383 |
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48 |
0,235 |
7,97577761884181 |
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49 |
0,24 |
7,98698595963026 |
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50 |
0,245 |
7,9973765372783 |
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51 |
0,25 |
8,00694658358219 |
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52 |
0,255 |
8,01570357292348 |
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53 |
0,26 |
8,02366360818222 |
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54 |
0,265 |
8,03084994352034 |
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55 |
0,27 |
8,03729164136094 |
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56 |
0,275 |
8,04302235967989 |
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57 |
0,28 |
8,0480792647426 |
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58 |
0,285 |
8,05250206364064 |
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59 |
0,29 |
8,05633215038771 |
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60 |
0,295 |
8,05961185890272 |
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61 |
0,3 |
8,06238381592055 |
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62 |
0,305 |
8,06469038670934 |
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63 |
0,31 |
8,06657320642159 |
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64 |
0,315 |
8,06807278994767 |
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65 |
0,32 |
8,06922821326151 |
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66 |
0,325 |
8,07007685943507 |
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67 |
0,33 |
8,07065422273897 |
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68 |
0,335 |
8,0709937645306 |
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69 |
0,34 |
8,07112681494805 |
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70 |
0,345 |
8,07108251476977 |
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71 |
0,35 |
8,07088779215814 |
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72 |
0,355 |
8,07056736937333 |
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73 |
0,36 |
8,0701437949161 |
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74 |
0,365 |
8,06963749692968 |
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75 |
0,37 |
8,06906685405643 |
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76 |
0,375 |
8,06844828030257 |
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77 |
0,38 |
8,06779632080909 |
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78 |
0,385 |
8,0671237557582 |
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79 |
0,39 |
8,06644170995947 |
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80 |
0,395 |
8,06575976595739 |
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81 |
0,4 |
8,06508607878115 |
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82 |
0,405 |
8,0644274907173 |
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83 |
0,41 |
8,06378964472691 |
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84 |
0,415 |
8,06317709535017 |
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85 |
0,42 |
8,0625934161437 |
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86 |
0,425 |
8,06204130287934 |
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87 |
0,43 |
8,06152267189914 |
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88 |
0,435 |
8,06103875316892 |
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89 |
0,44 |
8,06059017770478 |
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90 |
0,445 |
8,0601770591626 |
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91 |
0,45 |
8,05979906948188 |
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92 |
0,455 |
8,05945550856256 |
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93 |
0,46 |
8,05914536802828 |
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94 |
0,465 |
8,05886738919223 |
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95 |
0,47 |
8,05862011539411 |
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96 |
0,475 |
8,058401938919 |
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97 |
0,48 |
8,05821114274233 |
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98 |
0,485 |
8,05804593737112 |
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99 |
0,49 |
8,05790449306975 |
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100 |
0,495 |
8,05778496777141 |
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101 |
0,5 |
8,05768553098279 |
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Miejscowość |
Materiał |
x0 |
xk |
doba |
omega |
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Kair |
Żelazo |
0 |
1,1 |
86400 |
7,27220521664304E-05 |
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Lp |
x |
T |
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1 |
0 |
27,3 |
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2 |
0,011 |
24,380195481563 |
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3 |
0,022 |
21,5584568012763 |
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4 |
0,033 |
18,9075187383639 |
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5 |
0,044 |
16,4764458506802 |
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6 |
0,055 |
14,2947473060517 |
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7 |
0,066 |
12,3761544538052 |
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8 |
0,077 |
10,7220142098281 |
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9 |
0,088 |
9,32427599458121 |
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10 |
0,099 |
8,16806935177291 |
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11 |
0,11 |
7,23388411370746 |
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12 |
0,121 |
6,49937570114969 |
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13 |
0,132 |
5,94082546694742 |
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14 |
0,143 |
5,53429049540685 |
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15 |
0,154 |
5,2564794894544 |
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16 |
0,165 |
5,08539179788971 |
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17 |
0,176 |
5,00075568191729 |
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18 |
0,187 |
4,9842999626805 |
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19 |
0,198 |
5,01989054280859 |
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20 |
0,209 |
5,09356021514066 |
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21 |
0,22 |
5,1934568720046 |
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22 |
0,231 |
5,30973187571209 |
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23 |
0,242 |
5,43438707320727 |
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24 |
0,253 |
5,56109582909559 |
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25 |
0,264 |
5,68501057677972 |
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26 |
0,275 |
5,80256678834179 |
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27 |
0,286 |
5,91129096180067 |
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28 |
0,297 |
6,00961822561341 |
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29 |
0,308 |
6,09672345904525 |
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30 |
0,319 |
6,17236840876923 |
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31 |
0,33 |
6,23676612609843 |
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32 |
0,341 |
6,29046313099519 |
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33 |
0,352 |
6,33423900171057 |
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34 |
0,363 |
6,36902256516856 |
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35 |
0,374 |
6,39582349602459 |
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36 |
0,385 |
6,41567789594672 |
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37 |
0,396 |
6,42960629515779 |
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38 |
0,407 |
6,43858247390653 |
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39 |
0,418 |
6,44351152297222 |
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40 |
0,429 |
6,44521563270101 |
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41 |
0,44 |
6,44442620501727 |
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42 |
0,451 |
6,44178101028987 |
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43 |
0,462 |
6,43782525098389 |
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44 |
0,473 |
6,43301553880044 |
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45 |
0,484 |
6,42772593538131 |
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46 |
0,495 |
6,42225534405732 |
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47 |
0,506 |
6,41683566830078 |
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48 |
0,517 |
6,41164026936627 |
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49 |
0,528 |
6,40679235984684 |
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50 |
0,539 |
6,40237306104031 |
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51 |
0,55 |
6,39842893019041 |
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52 |
0,561 |
6,39497882934195 |
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53 |
0,572 |
6,39202006153684 |
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54 |
0,583 |
6,38953374339021 |
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55 |
0,594 |
6,38748941685145 |
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56 |
0,605 |
6,38584892835539 |
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57 |
0,616 |
6,38456962178065 |
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58 |
0,627 |
6,38360690379248 |
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59 |
0,638 |
6,38291624732086 |
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60 |
0,649 |
6,38245470208658 |
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61 |
0,66 |
6,38218198111293 |
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62 |
0,671 |
6,38206118981545 |
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63 |
0,682 |
6,3820592602082 |
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64 |
0,693 |
6,38214714755944 |
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65 |
0,704 |
6,38229984093329 |
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66 |
0,715 |
6,38249623283772 |
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67 |
0,726 |
6,38271888695536 |
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68 |
0,737 |
6,38295373688218 |
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69 |
0,748 |
6,38318974310076 |
|
|
|
|
|
|
|
70 |
0,759 |
6,3834185301791 |
|
|
|
|
|
|
|
71 |
0,77 |
6,38363402147758 |
|
|
|
|
|
|
|
72 |
0,781 |
6,38383208449985 |
|
|
|
|
|
|
|
73 |
0,792 |
6,38401019644095 |
|
|
|
|
|
|
|
74 |
0,803 |
6,38416713645384 |
|
|
|
|
|
|
|
75 |
0,814 |
6,38430270864239 |
|
|
|
|
|
|
|
76 |
0,825 |
6,38441749775345 |
|
|
|
|
|
|
|
77 |
0,836 |
6,38451265793652 |
|
|
|
|
|
|
|
78 |
0,847 |
6,38458973371525 |
|
|
|
|
|
|
|
79 |
0,858 |
6,38465051142036 |
|
|
|
|
|
|
|
80 |
0,869 |
6,38469689871754 |
|
|
|
|
|
|
|
81 |
0,88 |
6,38473082948026 |
|
|
|
|
|
|
|
82 |
0,891 |
6,38475419106205 |
|
|
|
|
|
|
|
83 |
0,902 |
6,38476877097579 |
|
|
|
|
|
|
|
84 |
0,913 |
6,3847762200554 |
|
|
|
|
|
|
|
85 |
0,924 |
6,38477802932625 |
|
|
|
|
|
|
|
86 |
0,935 |
6,38477551801986 |
|
|
|
|
|
|
|
87 |
0,946 |
6,38476983041448 |
|
|
|
|
|
|
|
88 |
0,957 |
6,38476193944829 |
|
|
|
|
|
|
|
89 |
0,968 |
6,38475265532267 |
|
|
|
|
|
|
|
90 |
0,979 |
6,3847426375783 |
|
|
|
|
|
|
|
91 |
0,99 |
6,38473240937961 |
|
|
|
|
|
|
|
92 |
1,001 |
6,38472237297684 |
|
|
|
|
|
|
|
93 |
1,012 |
6,38471282552716 |
|
|
|
|
|
|
|
94 |
1,023 |
6,38470397464442 |
|
|
|
|
|
|
|
95 |
1,034 |
6,38469595321089 |
|
|
|
|
|
|
|
96 |
1,045 |
6,38468883312373 |
|
|
|
|
|
|
|
97 |
1,056 |
6,3846826377659 |
|
|
|
|
|
|
|
98 |
1,067 |
6,38467735308619 |
|
|
|
|
|
|
|
99 |
1,078 |
6,38467293724917 |
|
|
|
|
|
|
|
100 |
1,089 |
6,38466932887441 |
|
|
|
|
|
|
|
101 |
1,1 |
6,38466645392793 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Miejscowość |
Materiał |
x0 |
xk |
doba |
omega |
|
|
|
|
Laos |
Beton |
0 |
1,3 |
86400 |
7,27220521664304E-05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lp. |
x |
T |
|
|
|
|
|
|
|
1 |
0 |
27 |
|
|
2 |
0,013 |
24,8034413472487 |
|
3 |
0,026 |
22,6418767399577 |
|
4 |
0,039 |
20,5442324638889 |
|
5 |
0,052 |
18,533432899286 |
|
6 |
0,065 |
16,6270609614421 |
|
7 |
0,078 |
14,837991429233 |
|
8 |
0,091 |
13,1749915822601 |
|
9 |
0,104 |
11,643285054025 |
|
10 |
0,117 |
10,2450761060886 |
|
11 |
0,13 |
8,98003264799873 |
|
12 |
0,143 |
7,84572728231841 |
|
13 |
0,156 |
6,83803645631754 |
|
14 |
0,169 |
5,95149846500233 |
|
15 |
0,182 |
5,17963158732592 |
|
16 |
0,195 |
4,51521406160455 |
|
17 |
0,208 |
3,95052792990595 |
|
18 |
0,221 |
3,47756901650238 |
|
19 |
0,234 |
3,08822546377264 |
|
|
|
|
|
|
|
20 |
0,247 |
2,77442734087045 |
|
|
|
|
|
|
|
21 |
0,26 |
2,52826987596227 |
|
|
|
|
|
|
|
22 |
0,273 |
2,34211285099977 |
|
|
|
|
|
|
|
23 |
0,286 |
2,20865864715043 |
|
|
|
|
|
|
|
24 |
0,299 |
2,12101134668547 |
|
|
|
|
|
|
|
25 |
0,312 |
2,07271919005658 |
|
|
|
|
|
|
|
26 |
0,325 |
2,05780256106192 |
|
|
|
|
|
|
|
27 |
0,338 |
2,07076953366525 |
|
|
|
|
|
|
|
28 |
0,351 |
2,10662086576035 |
|
|
|
|
|
|
|
29 |
0,364 |
2,16084617189944 |
|
|
|
|
|
|
|
30 |
0,377 |
2,2294128520638 |
|
|
|
|
|
|
|
31 |
0,39 |
2,30874919973882 |
|
|
|
|
|
|
|
32 |
0,403 |
2,39572296215732 |
|
|
|
|
|
|
|
33 |
0,416 |
2,48761648043733 |
|
|
|
|
|
|
|
34 |
0,429 |
2,58209939890649 |
|
|
|
|
|
|
|
35 |
0,442 |
2,67719980226051 |
|
|
|
|
|
|
|
36 |
0,455 |
2,77127451712128 |
|
|
|
|
|
|
|
37 |
0,468 |
2,86297920154373 |
|
|
|
|
|
|
|
38 |
0,481 |
2,95123874233904 |
|
|
|
|
|
|
|
39 |
0,494 |
3,03521838580693 |
|
|
|
|
|
|
|
40 |
0,507 |
3,1142959425104 |
|
|
|
|
|
|
|
41 |
0,52 |
3,18803533085496 |
|
|
|
|
|
|
|
42 |
0,533 |
3,25616165711593 |
|
|
|
|
|
|
|
43 |
0,546 |
3,31853797077445 |
|
|
|
|
|
|
|
44 |
0,559 |
3,37514378309171 |
|
|
|
|
|
|
|
45 |
0,572 |
3,42605539324829 |
|
|
|
|
|
|
|
46 |
0,585 |
3,47142802954544 |
|
|
|
|
|
|
|
47 |
0,598 |
3,51147978254057 |
|
|
|
|
|
|
|
48 |
0,611 |
3,54647728199906 |
|
|
|
|
|
|
|
49 |
0,624 |
3,57672304962444 |
|
|
|
|
|
|
|
50 |
0,637 |
3,60254444413065 |
|
|
|
|
|
|
|
51 |
0,65 |
3,62428410381522 |
|
|
|
|
|
|
|
52 |
0,663 |
3,64229178387913 |
|
|
|
|
|
|
|
53 |
0,676 |
3,65691748084658 |
|
|
|
|
|
|
|
54 |
0,689 |
3,66850573412498 |
|
|
|
|
|
|
|
55 |
0,702 |
3,67739099460794 |
|
|
|
|
|
|
|
56 |
0,715 |
3,68389395188884 |
|
|
|
|
|
|
|
57 |
0,728 |
3,6883187147845 |
|
|
|
|
|
|
|
58 |
0,741 |
3,69095074416433 |
|
|
|
|
|
|
|
59 |
0,754 |
3,69205544227054 |
|
|
|
|
|
|
|
60 |
0,767 |
3,6918773085626 |
|
|
|
|
|
|
|
61 |
0,78 |
3,69063957841638 |
|
|
|
|
|
|
|
62 |
0,793 |
3,68854426757603 |
|
|
|
|
|
|
|
63 |
0,806 |
3,68577255194277 |
|
|
|
|
|
|
|
64 |
0,819 |
3,68248541896003 |
|
|
|
|
|
|
|
65 |
0,832 |
3,6788245334138 |
|
|
|
|
|
|
|
66 |
0,845 |
3,67491326682325 |
|
|
|
|
|
|
|
67 |
0,858 |
3,67085784568338 |
|
|
|
|
|
|
|
68 |
0,871 |
3,66674857958491 |
|
|
|
|
|
|
|
69 |
0,884 |
3,6626611356407 |
|
|
|
|
|
|
|
70 |
0,897 |
3,65865783066581 |
|
|
|
|
|
|
|
71 |
0,91 |
3,65478891717621 |
|
|
|
|
|
|
|
72 |
0,923 |
3,65109384348234 |
|
|
|
|
|
|
|
73 |
0,936 |
3,64760247196044 |
|
|
|
|
|
|
|
74 |
0,949 |
3,64433624299474 |
|
|
|
|
|
|
|
75 |
0,962 |
3,64130927510993 |
|
|
|
|
|
|
|
76 |
0,975 |
3,63852939447345 |
|
|
|
|
|
|
|
77 |
0,988 |
3,63599908926001 |
|
|
|
|
|
|
|
78 |
1,001 |
3,63371638635967 |
|
|
|
|
|
|
|
79 |
1,014 |
3,63167564959861 |
|
|
|
|
|
|
|
80 |
1,027 |
3,62986830005294 |
|
|
|
|
|
|
|
81 |
1,04 |
3,62828346019543 |
|
|
|
|
|
|
|
82 |
1,053 |
3,62690852454736 |
|
|
|
|
|
|
|
83 |
1,066 |
3,62572966023654 |
|
|
|
|
|
|
|
84 |
1,079 |
3,62473224141108 |
|
|
|
|
|
|
|
85 |
1,092 |
3,62390122184948 |
|
|
|
|
|
|
|
86 |
1,105 |
3,62322145036071 |
|
|
|
|
|
|
|
87 |
1,118 |
3,62267793370351 |
|
|
|
|
|
|
|
88 |
1,131 |
3,62225605179038 |
|
|
|
|
|
|
|
89 |
1,144 |
3,6219417298939 |
|
|
|
|
|
|
|
90 |
1,157 |
3,62172157245798 |
|
|
|
|
|
|
|
91 |
1,17 |
3,62158296294655 |
|
|
|
|
|
|
|
92 |
1,183 |
3,62151413394955 |
|
|
|
|
|
|
|
93 |
1,196 |
3,6215042115222 |
|
|
|
|
|
|
|
94 |
1,209 |
3,62154323746692 |
|
|
|
|
|
|
|
95 |
1,222 |
3,62162217298665 |
|
|
|
|
|
|
|
96 |
1,235 |
3,62173288685023 |
|
|
|
|
|
|
|
97 |
1,248 |
3,62186813092187 |
|
|
|
|
|
|
|
98 |
1,261 |
3,62202150562042 |
|
|
|
|
|
|
|
99 |
1,274 |
3,62218741759667 |
|
|
|
|
|
|
|
100 |
1,287 |
3,62236103164947 |
|
|
|
|
|
|
|
101 |
1,3 |
3,62253821864743 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Miejscowość |
Materiał |
x0 |
xk |
doba |
omega |
|
|
|
|
Waszyngtn |
Korek |
0 |
1,2 |
86400 |
7,27220521664304E-05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lp. |
x |
T |
|
|
|
|
|
|
|
1 |
0 |
19 |
|
|
2 |
0,012 |
17,4398875748473 |
|
3 |
0,024 |
15,9119072927302 |
|
4 |
0,036 |
14,4418066893925 |
|
5 |
0,048 |
13,049120213343 |
|
6 |
0,06 |
11,7479671269618 |
|
7 |
0,072 |
10,547807788557 |
|
8 |
0,084 |
9,45415056653198 |
|
9 |
0,096 |
8,46920417554217 |
|
10 |
0,108 |
7,59247237918305 |
|
11 |
0,12 |
6,82128980384784 |
|
12 |
0,132 |
6,15129908510934 |
|
13 |
0,144 |
5,57687075321795 |
|
14 |
0,156 |
5,09146818986962 |
|
15 |
0,168 |
4,68796068534895 |
|
16 |
0,18 |
4,35888812330747 |
|
17 |
0,192 |
4,09668114798315 |
|
18 |
0,204 |
3,89384085188648 |
|
19 |
0,216 |
3,74308208506961 |
|
20 |
0,228 |
3,63744445207236 |
|
|
|
|
|
|
|
21 |
0,24 |
3,57037494929351 |
|
|
|
|
|
|
|
22 |
0,252 |
3,53578602145377 |
|
|
|
|
|
|
|
23 |
0,264 |
3,5280925964421 |
|
|
|
|
|
|
|
24 |
0,276 |
3,54223140655826 |
|
|
|
|
|
|
|
25 |
0,288 |
3,57366563244142 |
|
|
|
|
|
|
|
26 |
0,3 |
3,61837762346546 |
|
|
|
|
|
|
|
27 |
0,312 |
3,6728521630976 |
|
|
|
|
|
|
|
28 |
0,324 |
3,73405246616803 |
|
|
|
|
|
|
|
29 |
0,336 |
3,79939082235481 |
|
|
|
|
|
|
|
30 |
0,348 |
3,86669554042712 |
|
|
|
|
|
|
|
31 |
0,36 |
3,93417560384787 |
|
|
|
|
|
|
|
32 |
0,372 |
4,00038422224746 |
|
|
|
|
|
|
|
33 |
0,384 |
4,06418225630977 |
|
|
|
|
|
|
|
34 |
0,396 |
4,12470230637865 |
|
|
|
|
|
|
|
35 |
0,408 |
4,18131408768369 |
|
|
|
|
|
|
|
36 |
0,42 |
4,23359156715302 |
|
|
|
|
|
|
|
37 |
0,432 |
4,28128220764037 |
|
|
|
|
|
|
|
38 |
0,444 |
4,32427855409858 |
|
|
|
|
|
|
|
39 |
0,456 |
4,3625923016451 |
|
|
|
|
|
|
|
40 |
0,468 |
4,39633090632125 |
|
|
|
|
|
|
|
41 |
0,48 |
4,42567673430415 |
|
|
|
|
|
|
|
42 |
0,492 |
4,45086869301014 |
|
|
|
|
|
|
|
43 |
0,504 |
4,47218624655555 |
|
|
|
|
|
|
|
44 |
0,516 |
4,48993568706847 |
|
|
|
|
|
|
|
45 |
0,528 |
4,50443851107966 |
|
|
|
|
|
|
|
46 |
0,54 |
4,51602173543655 |
|
|
|
|
|
|
|
47 |
0,552 |
4,52500997873768 |
|
|
|
|
|
|
|
48 |
0,564 |
4,53171913112251 |
|
|
|
|
|
|
|
49 |
0,576 |
4,53645143641158 |
|
|
|
|
|
|
|
50 |
0,588 |
4,53949181521221 |
|
|
|
|
|
|
|
51 |
0,6 |
4,54110526491537 |
|
|
|
|
|
|
|
52 |
0,612 |
4,54153518183456 |
|
|
|
|
|
|
|
53 |
0,624 |
4,54100246149181 |
|
|
|
|
|
|
|
54 |
0,636 |
4,53970524473486 |
|
|
|
|
|
|
|
55 |
0,648 |
4,53781918955104 |
|
|
|
|
|
|
|
56 |
0,66 |
4,53549816077281 |
|
|
|
|
|
|
|
57 |
0,672 |
4,53287524206214 |
|
|
|
|
|
|
|
58 |
0,684 |
4,53006398638598 |
|
|
|
|
|
|
|
59 |
0,696 |
4,52715983247758 |
|
|
|
|
|
|
|
60 |
0,708 |
4,52424162538742 |
|
|
|
|
|
|
|
61 |
0,72 |
4,52137318907113 |
|
|
|
|
|
|
|
62 |
0,732 |
4,51860490798354 |
|
|
|
|
|
|
|
63 |
0,744 |
4,51597528281801 |
|
|
|
|
|
|
|
64 |
0,756 |
4,51351243284292 |
|
|
|
|
|
|
|
65 |
0,768 |
4,51123552375644 |
|
|
|
|
|
|
|
66 |
0,78 |
4,50915610563443 |
|
|
|
|
|
|
|
67 |
0,792 |
4,50727935042484 |
|
|
|
|
|
|
|
68 |
0,804 |
4,50560518259367 |
|
|
|
|
|
|
|
69 |
0,816 |
4,5041293000067 |
|
|
|
|
|
|
|
70 |
0,828 |
4,50284408499549 |
|
|
|
|
|
|
|
71 |
0,84 |
4,50173940786521 |
|
|
|
|
|
|
|
72 |
0,852 |
4,5008033269152 |
|
|
|
|
|
|
|
73 |
0,864 |
4,50002269041894 |
|
|
|
|
|
|
|
74 |
0,876 |
4,49938364700443 |
|
|
|
|
|
|
|
75 |
0,888 |
4,49887207154306 |
|
|
|
|
|
|
|
76 |
0,9 |
4,49847391404246 |
|
|
|
|
|
|
|
77 |
0,912 |
4,49817547919561 |
|
|
|
|
|
|
|
78 |
0,924 |
4,49796364420311 |
|
|
|
|
|
|
|
79 |
0,936 |
4,49782602229874 |
|
|
|
|
|
|
|
80 |
0,948 |
4,49775107910165 |
|
|
|
|
|
|
|
81 |
0,96 |
4,49772820852252 |
|
|
|
|
|
|
|
82 |
0,972 |
4,49774777449101 |
|
|
|
|
|
|
|
83 |
0,984 |
4,49780112426995 |
|
|
|
|
|
|
|
84 |
0,996 |
4,49788057859678 |
|
|
|
|
|
|
|
85 |
1,008 |
4,49797940335971 |
|
|
|
|
|
|
|
86 |
1,02 |
4,49809176698849 |
|
|
|
|
|
|
|
87 |
1,032 |
4,49821268722661 |
|
|
|
|
|
|
|
88 |
1,044 |
4,49833797046199 |
|
|
|
|
|
|
|
89 |
1,056 |
4,49846414633169 |
|
|
|
|
|
|
|
90 |
1,068 |
4,49858839988779 |
|
|
|
|
|
|
|
91 |
1,08 |
4,49870850321833 |
|
|
|
|
|
|
|
92 |
1,092 |
4,49882274806059 |
|
|
|
|
|
|
|
93 |
1,104 |
4,49892988062493 |
|
|
|
|
|
|
|
94 |
1,116 |
4,49902903956409 |
|
|
|
|
|
|
|
95 |
1,128 |
4,49911969777572 |
|
|
|
|
|
|
|
96 |
1,14 |
4,49920160851199 |
|
|
|
|
|
|
|
97 |
1,152 |
4,49927475608768 |
|
|
|
|
|
|
|
98 |
1,164 |
4,49933931132571 |
|
|
|
|
|
|
|
99 |
1,176 |
4,49939559175246 |
|
|
|
|
|
|
|
100 |
1,188 |
4,49944402645368 |
|
|
|
|
|
|
|
101 |
1,2 |
4,49948512542146 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Miejscowość |
Materiał |
x0 |
xk |
doba |
omega |
|
|
|
|
Sydney |
Piasek |
0 |
1 |
86400 |
7,27220521664304E-05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lp. |
x |
T |
|
|
|
|
|
|
|
1 |
0 |
23,6 |
|
|
2 |
0,01 |
21,4129341206241 |
|
3 |
0,02 |
19,2874586292572 |
|
4 |
0,03 |
17,270696615892 |
|
5 |
0,04 |
15,3960302333273 |
|
6 |
0,05 |
13,6852395360352 |
|
7 |
0,06 |
12,1504922617092 |
|
8 |
0,07 |
10,7961610404947 |
|
9 |
0,08 |
9,62045476984895 |
|
10 |
0,09 |
8,61685921574193 |
|
11 |
0,1 |
7,77538848963434 |
|
12 |
0,11 |
7,08365410707645 |
|
13 |
0,12 |
6,52776205808512 |
|
14 |
0,13 |
6,09305090501801 |
|
15 |
0,14 |
5,76468555291352 |
|
16 |
0,15 |
5,52812217897914 |
|
17 |
0,16 |
5,36946001542529 |
|
18 |
0,17 |
5,27569539013857 |
|
19 |
0,18 |
5,23489276314625 |
|
20 |
0,19 |
5,23628655750589 |
|
|
|
|
|
|
|
21 |
0,2 |
5,27032645959912 |
|
|
|
|
|
|
|
22 |
0,21 |
5,32867762961398 |
|
|
|
|
|
|
|
23 |
0,22 |
5,40418597860175 |
|
|
|
|
|
|
|
24 |
0,23 |
5,49081738207256 |
|
|
|
|
|
|
|
25 |
0,24 |
5,58357844902643 |
|
|
|
|
|
|
|
26 |
0,25 |
5,67842527754245 |
|
|
|
|
|
|
|
27 |
0,26 |
5,77216552339496 |
|
|
|
|
|
|
|
28 |
0,27 |
5,86235809960213 |
|
|
|
|
|
|
|
29 |
0,28 |
5,94721391963076 |
|
|
|
|
|
|
|
30 |
0,29 |
6,02550029786019 |
|
|
|
|
|
|
|
31 |
0,3 |
6,09645092688062 |
|
|
|
|
|
|
|
32 |
0,31 |
6,15968275849967 |
|
|
|
|
|
|
|
33 |
0,32 |
6,21512061813048 |
|
|
|
|
|
|
|
34 |
0,33 |
6,2629299732815 |
|
|
|
|
|
|
|
35 |
0,34 |
6,30345794800956 |
|
|
|
|
|
|
|
36 |
0,35 |
6,33718241782247 |
|
|
|
|
|
|
|
37 |
0,36 |
6,36466882489929 |
|
|
|
|
|
|
|
38 |
0,37 |
6,38653421307873 |
|
|
|
|
|
|
|
39 |
0,38 |
6,4034178876624 |
|
|
|
|
|
|
|
40 |
0,39 |
6,4159580490287 |
|
|
|
|
|
|
|
41 |
0,4 |
6,42477372432018 |
|
|
|
|
|
|
|
42 |
0,41 |
6,43045132170318 |
|
|
|
|
|
|
|
43 |
0,42 |
6,43353515126925 |
|
|
|
|
|
|
|
44 |
0,43 |
6,43452129063395 |
|
|
|
|
|
|
|
45 |
0,44 |
6,43385421746561 |
|
|
|
|
|
|
|
46 |
0,45 |
6,43192568197981 |
|
|
|
|
|
|
|
47 |
0,46 |
6,42907534691305 |
|
|
|
|
|
|
|
48 |
0,47 |
6,4255927782494 |
|
|
|
|
|
|
|
49 |
0,48 |
6,42172042512812 |
|
|
|
|
|
|
|
50 |
0,49 |
6,41765728046064 |
|
|
|
|
|
|
|
51 |
0,5 |
6,41356296377202 |
|
|
|
|
|
|
|
52 |
0,51 |
6,40956201392112 |
|
|
|
|
|
|
|
53 |
0,52 |
6,40574822118907 |
|
|
|
|
|
|
|
54 |
0,53 |
6,40218886552534 |
|
|
|
|
|
|
|
55 |
0,54 |
6,39892876045748 |
|
|
|
|
|
|
|
56 |
0,55 |
6,39599403039815 |
|
|
|
|
|
|
|
57 |
0,56 |
6,39339557302208 |
|
|
|
|
|
|
|
58 |
0,57 |
6,39113217831694 |
|
|
|
|
|
|
|
59 |
0,58 |
6,3891932921661 |
|
|
|
|
|
|
|
60 |
0,59 |
6,38756142526013 |
|
|
|
|
|
|
|
61 |
0,6 |
6,38621421813409 |
|
|
|
|
|
|
|
62 |
0,61 |
6,38512618056378 |
|
|
|
|
|
|
|
63 |
0,62 |
6,38427012879124 |
|
|
|
|
|
|
|
64 |
0,63 |
6,38361834743272 |
|
|
|
|
|
|
|
65 |
0,64 |
6,38314350477202 |
|
|
|
|
|
|
|
66 |
0,65 |
6,38281935075157 |
|
|
|
|
|
|
|
67 |
0,66 |
6,38262122660349 |
|
|
|
|
|
|
|
68 |
0,67 |
6,38252641394673 |
|
|
|
|
|
|
|
69 |
0,68 |
6,38251434951178 |
|
|
|
|
|
|
|
70 |
0,69 |
6,38256672961532 |
|
|
|
|
|
|
|
71 |
0,7 |
6,38266752623459 |
|
|
|
|
|
|
|
72 |
0,71 |
6,38280293414378 |
|
|
|
|
|
|
|
73 |
0,72 |
6,38296126616731 |
|
|
|
|
|
|
|
74 |
0,73 |
6,38313281124971 |
|
|
|
|
|
|
|
75 |
0,74 |
6,38330966779634 |
|
|
|
|
|
|
|
76 |
0,75 |
6,38348556264166 |
|
|
|
|
|
|
|
77 |
0,76 |
6,38365566408043 |
|
|
|
|
|
|
|
78 |
0,77 |
6,38381639566605 |
|
|
|
|
|
|
|
79 |
0,78 |
6,38396525594762 |
|
|
|
|
|
|
|
80 |
0,79 |
6,38410064798084 |
|
|
|
|
|
|
|
81 |
0,8 |
6,3842217213034 |
|
|
|
|
|
|
|
82 |
0,81 |
6,38432822810105 |
|
|
|
|
|
|
|
83 |
0,82 |
6,38442039449429 |
|
|
|
|
|
|
|
84 |
0,83 |
6,384498807232 |
|
|
|
|
|
|
|
85 |
0,84 |
6,3845643155718 |
|
|
|
|
|
|
|
86 |
0,85 |
6,38461794774026 |
|
|
|
|
|
|
|
87 |
0,86 |
6,38466084108488 |
|
|
|
|
|
|
|
88 |
0,87 |
6,38469418483654 |
|
|
|
|
|
|
|
89 |
0,88 |
6,38471917428315 |
|
|
|
|
|
|
|
90 |
0,89 |
6,38473697509791 |
|
|
|
|
|
|
|
91 |
0,9 |
6,38474869655727 |
|
|
|
|
|
|
|
92 |
0,91 |
6,38475537241381 |
|
|
|
|
|
|
|
93 |
0,92 |
6,3847579482476 |
|
|
|
|
|
|
|
94 |
0,93 |
6,38475727419914 |
|
|
|
|
|
|
|
95 |
0,94 |
6,38475410207929 |
|
|
|
|
|
|
|
96 |
0,95 |
6,38474908595289 |
|
|
|
|
|
|
|
97 |
0,96 |
6,38474278539626 |
|
|
|
|
|
|
|
98 |
0,97 |
6,38473567073248 |
|
|
|
|
|
|
|
99 |
0,98 |
6,38472812964848 |
|
|
|
|
|
|
|
100 |
0,99 |
6,38472047469247 |
|
|
|
|
|
|
|
101 |
1 |
6,38471295123829 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
WNIOSKI |
|
|
|
|
|
|
|
|
|
Z wykresu można odczytać fluktuacje temperatury oraz ich zależność od grubości materiału. |
|
|
|
|
|
|
|
|
|
Na każdym wykresie wraz ze spadkiem temperatury grubość materiału rośnie. |
|
|
|
|
|
|
|
|
|
Funkcja maleje do pewnego momentu a potem sposób jednostajny rośnie i stabilizuje się. |
|
|
|
|
|
|
|
|
|
W związku z zjawiskiem przewodzenia ciepła i tym, że przewodzenie jest zależne od temperatury i właściwości fizycznych tego |
|
|
|
|
|
|
|
|
|
ciała na wykresie temperatura stabilizuje się wraz z grubością badanego materiału. |
|
|
|
|
|
|
|
|
|
Przewodzenie jest wielkością wektorową, a jego prędkość jest wprost proporcjonalna do gradientu temperatury |
|
|
|
|
|
|
|
|
|
wzdłuż kierunku tego przewodzenia (czyli wraz ze wzrostem wartości na osi x). |
|
|
|
|
|
|
|
|
|
Wzdłuż tego kierunku temperatura się stabilizuje. |
|
|
|
|
|
|
|
|
|
Ponad to klimat ma znaczny wpływ na temperaturę badanego ciała, dlatego też inne właściwości przewodzenia |
|
|
|
|
|
|
|
|
|
będzie miało to samo ciało w całkowicie innych miejscach na całej kuli ziemskiej w innych warunkach klimatycznych. |
|
|
|
|
|
|
|
|
|