cooling/mechanical
Introduction
This experiment uses the computer program TracerDAQ to determine heat loss and record temperature over a period of time. Higher surface areas would result in a high cooling temperatures according to convective cooling. However, standard calculations don’t account for other factors such as gravity. One focus is to determine whether or not changing the surface area subject to gravity affects the cooling rate of the object. Another focus is comparing heat loss rates with different materials.
The program uses the same thermocouple to acquire results for the experiments. Information then goes through an amplifier and A / D board to constantly record the temperature.
Theory
The purpose of the experiment was to determine whether or not the orientation or position of an object in respect to gravity will affect the rate of cooling. In a Control Volume system, the formula for heat loss is:
Qdot = m * Cp * DT/dt
In relation, the formula for convective cooling is:
Qdot = -h * A * (T - Ta)
Where h is the heat transfer coefficient. If both equations were to equal together, the resulting equation will be:
dT / (T−T∞) = − dt / τ
Where τ = mCp / hA. The equation can then be integrated and rewritten as:
(T−T∞ ) / (Ti − T∞) = e ^ (-t / τ)
Where Ti is the initial temperature at t = 0.
Furthermore, we can declare that an object has a uniform heat distribution if Bi (Biot Number) is less than .1. The equation for the Bi is:
Bi = - hL∗ / k
Because our objects is spheres and cubes, L∗ = D / 6. Once h is determined, we can calculate the Biot number value and verify the uniform heat distribution throughout the objects.
Experimental Procedure
Header Size: 8 | |||||||
Version: 2 | |||||||
Sampling Interval: 4 | |||||||
Sampling Rate: 0.25 | |||||||
Sample Count: 675 | |||||||
Device Serial Number: 0 | |||||||
Culture Info: en-US | |||||||
Sample Number | Date/Time | CHANNEL0 | CHANNEL1 | CHANNEL2 | CHANNEL3 | Events | |
09:31.3 | 96.78052 | 100.049 | 93.51766 | 92.7237 | DAQ Start | LOG Start | |
09:35.3 | 94.6349 | 94.97813 | 90.32169 | 90.18092 | |||
09:39.3 | 93.60907 | 92.20478 | 88.24907 | 89.70265 | |||
09:43.3 | 92.83234 | 90.62181 | 86.27366 | 89.06199 | |||
09:47.3 | 92.18414 | 89.4566 | 84.56087 | 88.533 | |||
09:51.3 | 91.79549 | 88.86477 | 83.20285 | 87.94211 | |||
09:55.3 | 91.49573 | 88.31786 | 82.09596 | 87.68462 | |||
09:59.3 | 91.06771 | 87.97991 | 81.15548 | 87.6514 | |||
10:03.3 | 90.54916 | 87.70117 | 79.92236 | 87.63866 | |||
10 | 10:07.3 | 90.07372 | 87.452 | 79.10197 | 87.55497 | ||
11 | 10:11.3 | 89.66562 | 87.16432 | 78.33322 | 87.48182 | ||
12 | 10:15.3 | 89.33918 | 86.90532 | 77.6238 | 87.455 | ||
13 | 10:19.3 | 89.12218 | 86.7028 | 76.7456 | 87.35918 | ||
14 | 10:23.3 | 88.83614 | 86.4519 | 76.02013 | 87.23562 | ||
15 | 10:27.3 | 88.62991 | 86.23685 | 75.48945 | 87.07291 | ||
16 | 10:31.3 | 88.36901 | 86.02271 | 74.77069 | 86.8427 | ||
17 | 10:35.3 | 88.06332 | 85.81754 | 74.18481 | 86.66035 | ||
18 | 10:39.3 | 87.81767 | 85.59622 | 73.48264 | 86.46247 | ||
19 | 10:43.3 | 87.5909 | 85.35168 | 72.69301 | 86.26788 | ||
20 | 10:47.3 | 87.36056 | 85.22088 | 72.17264 | 86.09603 | ||
21 | 10:51.3 | 87.06657 | 85.14114 | 71.58565 | 85.7243 | ||
22 | 10:55.3 | 86.85239 | 85.19849 | 71.01501 | 85.60702 | ||
23 | 10:59.3 | 86.63201 | 85.41711 | 70.53521 | 85.33817 | ||
24 | 11:03.3 | 86.41067 | 85.61329 | 70.01872 | 85.00777 | ||
25 | 11:07.3 | 86.14546 | 85.72079 | 69.58221 | 84.99308 | ||
26 | 11:11.3 | 85.9134 | 85.7602 | 69.19401 | 84.96369 | ||
27 | 11:15.3 | 85.70378 | 85.75663 | 68.83501 | 84.74257 | ||
28 | 11:19.3 | 85.4897 | 85.74233 | 68.3944 | 84.4259 | ||
29 | 11:23.3 | 85.29172 | 85.659 | 68.04731 | 84.17824 | ||
30 | 11:27.3 | 84.99876 | 85.52818 | 67.53757 | 84.13721 | ||
31 | 11:31.3 | 84.75246 | 85.37231 | 67.1774 | 83.995 | ||
32 | 11:35.3 | 84.51332 | 85.2451 | 66.73699 | 83.85192 | ||
33 | 11:39.3 | 84.27509 | 85.15105 | 66.15961 | 83.67447 | ||
34 | 11:43.3 | 84.06102 | 84.88319 | 65.71819 | 83.47552 | ||
35 | 11:47.3 | 83.76729 | 84.67449 | 65.35937 | 83.20464 | ||
36 | 11:51.3 | 83.52728 | 84.48908 | 65.10248 | 82.99497 | ||
37 | 11:55.3 | 83.29447 | 84.27863 | 64.75425 | 82.82873 | ||
38 | 11:59.3 | 83.11451 | 84.12101 | 64.43887 | 82.71987 | ||
39 | 12:03.3 | 82.86647 | 83.98129 | 64.1367 | 82.51904 | ||
40 | 12:07.3 | 82.63998 | 83.77535 | 63.89379 | 82.24045 | ||
41 | 12:11.3 | 82.452 | 83.62225 | 63.71695 | 82.15943 | ||
42 | 12:15.3 | 82.21745 | 83.44138 | 63.42717 | 81.94128 | ||
43 | 12:19.3 | 82.02049 | 83.24616 | 63.18642 | 81.7608 | ||
44 | 12:23.3 | 81.82269 | 83.12084 | 62.99748 | 81.64114 | ||
45 | 12:27.3 | 81.59171 | 82.93011 | 62.74711 | 81.52288 | ||
46 | 12:31.3 | 81.36881 | 82.74744 | 62.47626 | 81.3241 | ||
47 | 12:35.3 | 81.12356 | 82.57108 | 62.18496 | 81.21159 | ||
48 | 12:39.3 | 80.93559 | 82.42961 | 61.97586 | 80.91329 | ||
49 | 12:43.3 | 80.70552 | 82.20577 | 61.59228 | 80.56462 | ||
50 | 12:47.3 | 80.49879 | 82.0366 | 61.29559 | 80.34274 | ||
51 | 12:51.3 | 80.26427 | 81.77515 | 61.05618 | 80.1401 | ||
52 | 12:55.3 | 79.99755 | 81.54242 | 60.83226 | 79.94426 | ||
53 | 12:59.3 | 79.84184 | 81.38129 | 60.80926 | 79.92944 | ||
54 | 13:03.3 | 79.61274 | 81.18795 | 60.70876 | 79.79608 | ||
55 | 13:07.3 | 79.44632 | 81.08235 | 60.53854 | 79.63815 | ||
56 | 13:11.3 | 79.19394 | 80.84338 | 60.45759 | 79.53356 | ||
57 | 13:15.3 | 79.01323 | 80.6438 | 60.4109 | 79.36979 | ||
58 | 13:19.3 | 78.83872 | 80.49345 | 60.21655 | 79.18687 | ||
59 | 13:23.3 | 78.60426 | 80.26163 | 60.08523 | 79.01376 | ||
60 | 13:27.3 | 78.42533 | 80.10951 | 60.05045 | 78.8985 | ||
61 | 13:31.3 | 78.18642 | 79.77033 | 59.90885 | 78.67418 | ||
62 | 13:35.3 | 77.95553 | 79.64053 | 59.76619 | 78.4108 | ||
63 | 13:39.3 | 77.7739 | 79.45798 | 59.66805 | 78.21107 | ||
64 | 13:43.3 | 77.56808 | 79.23961 | 59.54933 | 78.04997 | ||
65 | 13:47.3 | 77.38017 | 79.12418 | 59.45456 | 77.87901 | ||
66 | 13:51.3 | 77.14214 | 78.96664 | 59.25029 | 77.71775 | ||
67 | 13:55.3 | 77.00974 | 78.84854 | 59.14788 | 77.62776 | ||
68 | 13:59.3 | 76.79408 | 78.66956 | 59.10593 | 77.25733 | ||
69 | 14:03.3 | 76.54626 | 78.48253 | 58.92477 | 77.02163 | ||
70 | 14:07.3 | 76.40044 | 78.35729 | 58.90444 | 77.03089 | ||
71 | 14:11.3 | 76.22775 | 78.13896 | 58.90794 | 76.89283 | ||
72 | 14:15.3 | 76.03897 | 77.98597 | 58.81735 | 76.74303 | ||
73 | 14:19.3 | 75.89498 | 77.90994 | 58.78095 | 76.66393 | ||
74 | 14:23.3 | 75.68291 | 77.75243 | 58.67304 | 76.49734 | ||
75 | 14:27.3 | 75.50577 | 77.59051 | 58.53546 | 76.35252 | ||
76 | 14:31.3 | 75.29727 | 77.35426 | 58.30859 | 76.15686 | ||
77 | 14:35.3 | 75.09595 | 77.17976 | 58.11938 | 75.96037 | ||
78 | 14:39.3 | 74.90089 | 77.00798 | 58.01838 | 75.70258 | ||
79 | 14:43.3 | 74.72016 | 76.87465 | 58.00211 | 75.61635 | ||
80 | 14:47.3 | 74.51349 | 76.68139 | 57.81973 | 75.49608 | ||
81 | 14:51.3 | 74.30051 | 76.47199 | 57.68422 | 75.33747 | ||
82 | 14:55.3 | 74.12066 | 76.25457 | 57.68851 | 75.17566 | ||
83 | 14:59.3 | 73.88535 | 76.05056 | 57.49128 | 74.99371 | ||
84 | 15:03.3 | 73.70818 | 75.94318 | 57.349 | 74.88164 | ||
85 | 15:07.3 | 73.53549 | 75.73024 | 57.30186 | 74.66155 | ||
86 | 15:11.3 | 73.40131 | 75.52538 | 57.24888 | 74.42078 | ||
87 | 15:15.3 | 73.22774 | 75.29724 | 57.16151 | 74.10333 | ||
88 | 15:19.3 | 73.07654 | 75.20421 | 57.09986 | 74.15248 | ||
89 | 15:23.3 | 72.88058 | 75.11116 | 57.07156 | 74.06434 | ||
90 | 15:27.3 | 72.71503 | 74.92506 | 56.93347 | 73.92963 | ||
91 | 15:31.3 | 72.55309 | 74.78999 | 56.89076 | 73.81168 | ||
92 | 15:35.3 | 72.34729 | 74.66738 | 56.83233 | 73.65184 | ||
93 | 15:39.3 | 72.22383 | 74.57974 | 56.76387 | 73.53467 | ||
94 | 15:43.3 | 72.01352 | 74.34888 | 56.56971 | 73.37883 | ||
95 | 15:47.3 | 71.84707 | 74.21286 | 56.41681 | 73.24968 | ||
96 | 15:51.3 | 71.65464 | 74.03388 | 56.3093 | 73.05631 | ||
97 | 15:55.3 | 71.44881 | 73.8943 | 56.23629 | 72.85634 | ||
98 | 15:59.3 | 71.3119 | 73.75204 | 56.16328 | 72.68384 | ||
99 | 16:03.3 | 71.08994 | 73.57128 | 56.00758 | 72.40351 | ||
100 | 16:07.3 | 70.92259 | 73.44333 | 55.96633 | 72.30428 | ||
101 | 16:11.3 | 70.7812 | 73.30825 | 55.89517 | 72.2252 | ||
102 | 16:15.3 | 70.63177 | 73.17317 | 55.86355 | 72.14861 | ||
103 | 16:19.3 | 70.47337 | 73.02733 | 55.81197 | 72.00843 | ||
104 | 16:23.3 | 70.28185 | 72.85462 | 55.72943 | 71.85652 | ||
105 | 16:27.3 | 70.17625 | 72.76429 | 55.70649 | 71.74408 | ||
106 | 16:31.3 | 70.00175 | 72.59517 | 55.52849 | 71.5779 | ||
107 | 16:35.3 | 69.85944 | 72.48064 | 55.48987 | 71.46106 | ||
108 | 16:39.3 | 69.62758 | 72.28824 | 55.3357 | 71.26788 | ||
109 | 16:43.3 | 69.45299 | 72.04482 | 55.22701 | 70.99847 | ||
110 | 16:47.3 | 69.31516 | 71.79246 | 55.12554 | 70.80374 | ||
111 | 16:51.3 | 69.15403 | 71.58486 | 55.02913 | 70.76694 | ||
112 | 16:55.3 | 69.00185 | 71.46227 | 54.9878 | 70.64148 | ||
113 | 16:59.3 | 68.81385 | 71.33787 | 54.90849 | 70.31168 | ||
114 | 17:03.3 | 68.62672 | 71.21972 | 54.74219 | 70.10229 | ||
115 | 17:07.3 | 68.45213 | 71.02995 | 54.63855 | 70.07272 | ||
116 | 17:11.3 | 68.29368 | 70.93333 | 54.50861 | 69.94643 | ||
117 | 17:15.3 | 68.11014 | 70.8134 | 54.43536 | 69.89617 | ||
118 | 17:19.3 | 67.9687 | 70.63174 | 54.40701 | 69.80578 | ||
119 | 17:23.3 | 67.86664 | 70.46619 | 54.36313 | 69.66928 | ||
120 | 17:27.3 | 67.7198 | 70.28989 | 54.25546 | 69.54952 | ||
121 | 17:31.3 | 67.59716 | 70.22636 | 54.15552 | 69.47166 | ||
122 | 17:35.3 | 67.42345 | 70.12522 | 54.12017 | 69.3048 | ||
123 | 17:39.3 | 67.29987 | 70.0214 | 54.05558 | 69.1296 | ||
124 | 17:43.3 | 67.15122 | 69.82626 | 53.89762 | 68.92145 | ||
125 | 17:47.3 | 66.93002 | 69.60159 | 53.71633 | 68.80219 | ||
126 | 17:51.3 | 66.73476 | 69.39034 | 53.72227 | 68.69044 | ||
127 | 17:55.3 | 66.56008 | 69.23007 | 53.64528 | 68.56519 | ||
128 | 17:59.3 | 66.44725 | 69.13162 | 53.49256 | 68.45443 | ||
129 | 18:03.3 | 66.28961 | 69.01881 | 53.36631 | 68.31313 | ||
130 | 18:07.3 | 66.09164 | 68.86752 | 53.32909 | 68.15259 | ||
131 | 18:11.3 | 65.97163 | 68.7413 | 53.28167 | 68.06948 | ||
132 | 18:15.3 | 65.79604 | 68.56137 | 53.20392 | 67.94088 | ||
133 | 18:19.3 | 65.67691 | 68.43333 | 53.10802 | 67.80215 | ||
134 | 18:23.3 | 65.53985 | 68.29277 | 53.06913 | 67.6533 | ||
135 | 18:27.3 | 65.41534 | 68.18983 | 53.03388 | 67.5803 | ||
136 | 18:31.3 | 65.324 | 68.07616 | 52.96925 | 67.49888 | ||
137 | 18:35.3 | 65.17079 | 67.95528 | 52.90788 | 67.39624 | ||
138 | 18:39.3 | 65.04983 | 67.89262 | 52.86465 | 67.18414 | ||
139 | 18:43.3 | 64.92351 | 67.79772 | 52.77483 | 66.9106 | ||
140 | 18:47.3 | 64.75148 | 67.67503 | 52.63725 | 66.83301 | ||
141 | 18:51.3 | 64.56599 | 67.51386 | 52.52827 | 66.71677 | ||
142 | 18:55.3 | 64.45127 | 67.35537 | 52.46598 | 66.57352 | ||
143 | 18:59.3 | 64.29979 | 67.15385 | 52.39746 | 66.48569 | ||
144 | 19:03.3 | 64.10711 | 67.00519 | 52.27362 | 66.25715 | ||
145 | 19:07.3 | 63.94668 | 66.91026 | 52.19478 | 65.98972 | ||
146 | 19:11.3 | 63.78176 | 66.8001 | 52.14111 | 65.99478 | ||
147 | 19:15.3 | 63.66346 | 66.68457 | 52.08137 | 65.92729 | ||
148 | 19:19.3 | 63.54424 | 66.51082 | 51.92984 | 65.76866 | ||
149 | 19:23.3 | 63.41516 | 66.39976 | 51.86056 | 65.63699 | ||
150 | 19:27.3 | 63.32554 | 66.28515 | 51.84168 | 65.64307 | ||
151 | 19:31.3 | 63.14355 | 66.15884 | 51.80001 | 65.54589 | ||
152 | 19:35.3 | 63.07095 | 66.07735 | 51.73868 | 65.31132 | ||
153 | 19:39.3 | 62.91225 | 65.91341 | 51.63203 | 65.16086 | ||
154 | 19:43.3 | 62.81097 | 65.78265 | 51.61142 | 65.1264 | ||
155 | 19:47.3 | 62.66393 | 65.63932 | 51.53342 | 65.0436 | ||
156 | 19:51.3 | 62.49083 | 65.38129 | 51.35458 | 64.88527 | ||
157 | 19:55.3 | 62.39668 | 65.26212 | 51.23666 | 64.79061 | ||
158 | 19:59.3 | 62.25051 | 65.15553 | 51.1638 | 64.68999 | ||
159 | 20:03.3 | 62.10343 | 65.07307 | 51.03708 | 64.55375 | ||
160 | 20:07.3 | 61.93482 | 64.9566 | 50.9807 | 64.39555 | ||
161 | 20:11.3 | 61.8012 | 64.75231 | 50.93298 | 64.21786 | ||
162 | 20:15.3 | 61.68279 | 64.60177 | 50.87476 | 64.16277 | ||
163 | 20:19.3 | 61.53567 | 64.43507 | 50.76097 | 64.04841 | ||
164 | 20:23.3 | 61.42895 | 64.34727 | 50.70213 | 63.95713 | ||
165 | 20:27.3 | 61.26749 | 64.22182 | 50.57537 | 63.82502 | ||
166 | 20:31.3 | 61.14548 | 64.10889 | 50.45901 | 63.69544 | ||
167 | 20:35.3 | 61.0513 | 63.99241 | 50.48699 | 63.6236 | ||
168 | 20:39.3 | 60.92393 | 63.91805 | 50.49323 | 63.56107 | ||
169 | 20:43.3 | 60.84768 | 63.82126 | 50.45686 | 63.38573 | ||
170 | 20:47.3 | 60.69693 | 63.7137 | 50.34993 | 63.16438 | ||
171 | 20:51.3 | 60.57309 | 63.64825 | 50.26297 | 63.0481 | ||
172 | 20:55.3 | 60.41243 | 63.48688 | 50.19067 | 62.99364 | ||
173 | 20:59.3 | 60.3191 | 63.36586 | 50.16114 | 62.85623 | ||
174 | 21:03.3 | 60.14768 | 63.19732 | 50.09935 | 62.7017 | ||
175 | 21:07.3 | 59.98791 | 62.99738 | 49.93845 | 62.46564 | ||
176 | 21:11.3 | 59.86316 | 62.90774 | 49.87508 | 62.45298 | ||
177 | 21:15.3 | 59.73209 | 62.74902 | 49.73838 | 62.37214 | ||
178 | 21:19.3 | 59.61629 | 62.68179 | 49.73925 | 62.28636 | ||
179 | 21:23.3 | 59.53014 | 62.63876 | 49.77334 | 62.16423 | ||
180 | 21:27.3 | 59.43407 | 62.58228 | 49.69247 | 62.04443 | ||
181 | 21:31.3 | 59.3084 | 62.45765 | 49.57242 | 62.01044 | ||
182 | 21:35.3 | 59.19707 | 62.35812 | 49.47506 | 61.97824 | ||
183 | 21:39.3 | 59.08128 | 62.23349 | 49.40562 | 61.89257 | ||
184 | 21:43.3 | 58.96276 | 62.0981 | 49.37613 | 61.7558 | ||
185 | 21:47.3 | 58.87746 | 61.97792 | 49.28562 | 61.64188 | ||
186 | 21:51.3 | 58.74815 | 61.86134 | 49.17593 | 61.53046 | ||
187 | 21:55.3 | 58.60531 | 61.72496 | 49.10688 | 61.40772 | ||
188 | 21:59.3 | 58.47509 | 61.58862 | 49.0346 | 61.28775 | ||
189 | 22:03.3 | 58.34036 | 61.46842 | 49.00403 | 61.15917 | ||
190 | 22:07.3 | 58.26582 | 61.39757 | 48.95796 | 61.10052 | ||
191 | 22:11.3 | 58.09514 | 61.27646 | 48.79323 | 61.0034 | ||
192 | 22:15.3 | 57.96127 | 61.17506 | 48.72596 | 60.86018 | ||
193 | 22:19.3 | 57.79234 | 61.02342 | 48.68483 | 60.72459 | ||
194 | 22:23.3 | 57.66296 | 60.92562 | 48.61511 | 60.5687 | ||
195 | 22:27.3 | 57.55245 | 60.84668 | 48.51496 | 60.4495 | ||
196 | 22:31.3 | 57.45903 | 60.66456 | 48.4698 | 60.40705 | ||
197 | 22:35.3 | 57.38085 | 60.55508 | 48.45672 | 60.35336 | ||
198 | 22:39.3 | 57.28292 | 60.46896 | 48.41584 | 60.16589 | ||
199 | 22:43.3 | 57.18498 | 60.41513 | 48.32524 | 60.0517 | ||
200 | 22:47.3 | 57.11222 | 60.29669 | 48.26611 | 59.82413 | ||
201 | 22:51.3 | 57.02775 | 60.20606 | 48.25923 | 59.75766 | ||
202 | 22:55.3 | 56.89022 | 60.11542 | 48.22076 | 59.76269 | ||
203 | 22:59.3 | 56.73468 | 59.98883 | 48.12811 | 59.68486 | ||
204 | 23:03.3 | 56.64751 | 59.8973 | 48.07324 | 59.64313 | ||
205 | 23:07.3 | 56.51984 | 59.76354 | 47.96669 | 59.52012 | ||
206 | 23:11.3 | 56.37957 | 59.63425 | 47.85132 | 59.38335 | ||
207 | 23:15.3 | 56.26538 | 59.53101 | 47.79196 | 59.28173 | ||
208 | 23:19.3 | 56.17097 | 59.40084 | 47.70291 | 59.16129 | ||
209 | 23:23.3 | 56.04599 | 59.28952 | 47.61375 | 59.02877 | ||
210 | 23:27.3 | 55.93808 | 59.18357 | 47.53428 | 58.95358 | ||
211 | 23:31.3 | 55.85447 | 59.11176 | 47.4707 | 58.90845 | ||
212 | 23:35.3 | 55.74385 | 59.02647 | 47.37635 | 58.78109 | ||
213 | 23:39.3 | 55.67461 | 58.94656 | 47.28731 | 58.69483 | ||
214 | 23:43.3 | 55.58559 | 58.85139 | 47.33109 | 58.53673 | ||
215 | 23:47.3 | 55.46957 | 58.74724 | 47.29535 | 58.4872 | ||
216 | 23:51.3 | 55.38413 | 58.68978 | 47.26399 | 58.44196 | ||
217 | 23:55.3 | 55.26539 | 58.55865 | 47.16436 | 58.30936 | ||
218 | 23:59.3 | 55.12864 | 58.45356 | 47.10746 | 58.19974 | ||
219 | 24:03.3 | 55.05757 | 58.36735 | 47.06821 | 58.11082 | ||
220 | 24:07.3 | 54.9586 | 58.25147 | 46.98507 | 57.98832 | ||
221 | 24:11.3 | 54.83443 | 58.16975 | 46.86186 | 57.93275 | ||
222 | 24:15.3 | 54.67871 | 57.97566 | 46.7198 | 57.7834 | ||
223 | 24:19.3 | 54.61032 | 57.87954 | 46.72417 | 57.66006 | ||
224 | 24:23.3 | 54.50413 | 57.787 | 46.71106 | 57.50669 | ||
225 | 24:27.3 | 54.39974 | 57.64325 | 46.62969 | 57.415 | ||
226 | 24:31.3 | 54.30253 | 57.51027 | 46.56844 | 57.21527 | ||
227 | 24:35.3 | 54.21433 | 57.42852 | 46.5414 | 57.19907 | ||
228 | 24:39.3 | 54.16486 | 57.35664 | 46.4882 | 57.19667 | ||
229 | 24:43.3 | 54.05324 | 57.24434 | 46.35175 | 57.12559 | ||
230 | 24:47.3 | 53.95782 | 57.14009 | 46.29309 | 57.02697 | ||
231 | 24:51.3 | 53.86872 | 57.0682 | 46.32119 | 56.94815 | ||
232 | 24:55.3 | 53.81562 | 57.0197 | 46.31174 | 56.88141 | ||
233 | 24:59.3 | 53.69586 | 56.91991 | 46.1917 | 56.7612 | ||
234 | 25:03.3 | 53.5914 | 56.81295 | 46.08915 | 56.66156 | ||
235 | 25:07.3 | 53.47882 | 56.72395 | 46.06453 | 56.50868 | ||
236 | 25:11.3 | 53.35905 | 56.61966 | 46.00399 | 56.42188 | ||
237 | 25:15.3 | 53.2753 | 56.52257 | 45.9155 | 56.32828 | ||
238 | 25:19.3 | 53.14466 | 56.36161 | 45.78125 | 56.23706 | ||
239 | 25:23.3 | 53.0645 | 56.26542 | 45.77249 | 56.1692 | ||
240 | 25:27.3 | 52.96453 | 56.16471 | 45.74795 | 56.05837 | ||
241 | 25:31.3 | 52.83119 | 56.0541 | 45.68913 | 55.90359 | ||
242 | 25:35.3 | 52.73931 | 55.96508 | 45.62514 | 55.85374 | ||
243 | 25:39.3 | 52.66454 | 55.85718 | 45.53054 | 55.79795 | ||
244 | 25:43.3 | 52.61502 | 55.80326 | 45.53248 | 55.73107 | ||
245 | 25:47.3 | 52.51141 | 55.7511 | 45.49487 | 55.66152 | ||
246 | 25:51.3 | 52.43213 | 55.65487 | 45.41769 | 55.57896 | ||
247 | 25:55.3 | 52.36006 | 55.58203 | 45.36077 | 55.50938 | ||
248 | 25:59.3 | 52.27806 | 55.4831 | 45.3442 | 55.43206 | ||
249 | 26:03.3 | 52.18523 | 55.40304 | 45.26516 | 55.31409 | ||
250 | 26:07.3 | 52.05905 | 55.29777 | 45.13345 | 55.21935 | ||
251 | 26:11.3 | 51.97793 | 55.2339 | 45.09836 | 55.1109 | ||
252 | 26:15.3 | 51.88328 | 55.14214 | 45.07729 | 54.97918 | ||
253 | 26:19.3 | 51.78142 | 55.04407 | 45.02981 | 54.78965 | ||
254 | 26:23.3 | 51.66509 | 54.93158 | 44.93483 | 54.59219 | ||
255 | 26:27.3 | 51.57135 | 54.82721 | 44.8401 | 54.66035 | ||
256 | 26:31.3 | 51.49562 | 54.74263 | 44.79093 | 54.62675 | ||
257 | 26:35.3 | 51.40726 | 54.64724 | 44.7479 | 54.46388 | ||
258 | 26:39.3 | 51.30717 | 54.54916 | 44.62143 | 54.31564 | ||
259 | 26:43.3 | 51.2513 | 54.45739 | 44.5689 | 54.1839 | ||
260 | 26:47.3 | 51.18188 | 54.4061 | 44.57778 | 54.25555 | ||
261 | 26:51.3 | 51.10796 | 54.36743 | 44.60695 | 54.27997 | ||
262 | 26:55.3 | 51.01955 | 54.2783 | 44.56294 | 54.18494 | ||
263 | 26:59.3 | 50.96275 | 54.22161 | 44.51031 | 54.09793 | ||
264 | 27:03.3 | 50.87347 | 54.12621 | 44.38818 | 53.97286 | ||
265 | 27:07.3 | 50.78054 | 54.02447 | 44.36787 | 53.89772 | ||
266 | 27:11.3 | 50.6795 | 53.91913 | 44.33175 | 53.83636 | ||
267 | 27:15.3 | 50.61185 | 53.85702 | 44.2879 | 53.77001 | ||
268 | 27:19.3 | 50.50448 | 53.75616 | 44.15761 | 53.67231 | ||
269 | 27:23.3 | 50.41245 | 53.64901 | 44.10837 | 53.59893 | ||
270 | 27:27.3 | 50.33575 | 53.57607 | 44.07046 | 53.47884 | ||
271 | 27:31.3 | 50.19765 | 53.41034 | 43.91804 | 53.32141 | ||
272 | 27:35.3 | 50.09929 | 53.31848 | 43.86966 | 53.24712 | ||
273 | 27:39.3 | 50.01085 | 53.21582 | 43.84943 | 53.18147 | ||
274 | 27:43.3 | 49.91518 | 53.08341 | 43.80104 | 53.12703 | ||
275 | 27:47.3 | 49.8755 | 53.02398 | 43.77131 | 53.10992 | ||
276 | 27:51.3 | 49.80783 | 52.96097 | 43.76885 | 53.03492 | ||
277 | 27:55.3 | 49.73292 | 52.8826 | 43.68437 | 52.91306 | ||
278 | 27:59.3 | 49.66795 | 52.8601 | 43.66695 | 52.85792 | ||
279 | 28:03.3 | 49.58851 | 52.80424 | 43.64231 | 52.81123 | ||
280 | 28:07.3 | 49.52985 | 52.743 | 43.60632 | 52.76551 | ||
281 | 28:11.3 | 49.40343 | 52.60064 | 43.51645 | 52.66078 | ||
282 | 28:15.3 | 49.33392 | 52.54478 | 43.46274 | 52.59073 | ||
283 | 28:19.3 | 49.23095 | 52.43394 | 43.38243 | 52.4954 | ||
284 | 28:23.3 | 49.15421 | 52.35554 | 43.32872 | 52.40543 | ||
285 | 28:27.3 | 49.08558 | 52.26452 | 43.27676 | 52.37427 | ||
286 | 28:31.3 | 49.02327 | 52.21225 | 43.16578 | 52.2886 | ||
287 | 28:35.3 | 48.86336 | 52.04908 | 43.09405 | 52.11774 | ||
288 | 28:39.3 | 48.77484 | 51.99231 | 43.10119 | 52.05721 | ||
289 | 28:43.3 | 48.75049 | 51.95088 | 43.05643 | 52.02882 | ||
290 | 28:47.3 | 48.68095 | 51.8878 | 43.01863 | 51.94753 | ||
291 | 28:51.3 | 48.60958 | 51.78593 | 43.00718 | 51.79768 | ||
292 | 28:55.3 | 48.54094 | 51.73908 | 42.9403 | 51.68342 | ||
293 | 28:59.3 | 48.50936 | 51.70305 | 42.93352 | 51.70708 | ||
294 | 29:03.3 | 48.42895 | 51.59846 | 42.90788 | 51.66367 | ||
295 | 29:07.3 | 48.35035 | 51.51644 | 42.88593 | 51.62044 | ||
296 | 29:11.3 | 48.28621 | 51.46144 | 42.86302 | 51.50518 | ||
297 | 29:15.3 | 48.20668 | 51.37039 | 42.78015 | 51.34134 | ||
298 | 29:19.3 | 48.09189 | 51.23328 | 42.65652 | 51.26746 | ||
299 | 29:23.3 | 48.02955 | 51.12238 | 42.61164 | 51.19124 | ||
300 | 29:27.3 | 47.92196 | 51.01953 | 42.55051 | 51.07995 | ||
301 | 29:31.3 | 47.84062 | 50.97264 | 42.51611 | 51.0279 | ||
302 | 29:35.3 | 47.74842 | 50.8626 | 42.47201 | 50.87606 | ||
303 | 29:39.3 | 47.69962 | 50.74624 | 42.41643 | 50.84916 | ||
304 | 29:43.3 | 47.61734 | 50.66956 | 42.30075 | 50.8404 | ||
305 | 29:47.3 | 47.57124 | 50.63799 | 42.24083 | 50.80317 | ||
306 | 29:51.3 | 47.4908 | 50.60643 | 42.23828 | 50.73209 | ||
307 | 29:55.3 | 47.47457 | 50.5713 | 42.2412 | 50.69157 | ||
308 | 29:59.3 | 47.40133 | 50.50994 | 42.1653 | 50.62646 | ||
309 | 30:03.3 | 47.32628 | 50.41071 | 42.145 | 50.56828 | ||
310 | 30:07.3 | 47.24763 | 50.3638 | 42.12038 | 50.52757 | ||
311 | 30:11.3 | 47.16894 | 50.26995 | 42.05143 | 50.43108 | ||
312 | 30:15.3 | 47.08755 | 50.23656 | 42.04171 | 50.34683 | ||
313 | 30:19.3 | 47.02425 | 50.15535 | 41.97726 | 50.2808 | ||
314 | 30:23.3 | 46.90483 | 50.03981 | 41.87463 | 50.16071 | ||
315 | 30:27.3 | 46.82523 | 49.94865 | 41.7818 | 50.08068 | ||
316 | 30:31.3 | 46.7583 | 49.88908 | 41.78277 | 50.0373 | ||
317 | 30:35.3 | 46.68231 | 49.80514 | 41.71819 | 49.97202 | ||
318 | 30:39.3 | 46.59181 | 49.67513 | 41.65616 | 49.86926 | ||
319 | 30:43.3 | 46.51492 | 49.59298 | 41.59519 | 49.79013 | ||
320 | 30:47.3 | 46.4534 | 49.54425 | 41.5237 | 49.72239 | ||
321 | 30:51.3 | 46.35568 | 49.45758 | 41.49541 | 49.65107 | ||
322 | 30:55.3 | 46.31857 | 49.40702 | 41.45388 | 49.52493 | ||
323 | 30:59.3 | 46.26702 | 49.34024 | 41.45053 | 49.42592 | ||
324 | 31:03.3 | 46.24443 | 49.2888 | 41.45689 | 49.42349 | ||
325 | 31:07.3 | 46.15575 | 49.23373 | 41.35701 | 49.3852 | ||
326 | 31:11.3 | 46.10146 | 49.19671 | 41.33234 | 49.3792 | ||
327 | 31:15.3 | 46.02723 | 49.11633 | 41.3013 | 49.29034 | ||
328 | 31:19.3 | 45.97021 | 49.03234 | 41.24382 | 49.19633 | ||
329 | 31:23.3 | 45.87062 | 48.91673 | 41.16679 | 49.0961 | ||
330 | 31:27.3 | 45.77467 | 48.81466 | 41.10125 | 49.0246 | ||
331 | 31:31.3 | 45.70767 | 48.73788 | 41.10036 | 48.98802 | ||
332 | 31:35.3 | 45.62979 | 48.63308 | 41.03826 | 48.83628 | ||
333 | 31:39.3 | 45.57457 | 48.59063 | 40.99677 | 48.78584 | ||
334 | 31:43.3 | 45.45957 | 48.51925 | 40.91615 | 48.73957 | ||
335 | 31:47.3 | 45.38984 | 48.47949 | 40.93031 | 48.69687 | ||
336 | 31:51.3 | 45.3337 | 48.41173 | 40.88784 | 48.60013 | ||
337 | 31:55.3 | 45.27755 | 48.34217 | 40.82854 | 48.48507 | ||
338 | 31:59.3 | 45.24045 | 48.29972 | 40.80838 | 48.4155 | ||
339 | 32:03.3 | 45.20425 | 48.27808 | 40.79706 | 48.42353 | ||
340 | 32:07.3 | 45.1454 | 48.23652 | 40.76529 | 48.39921 | ||
341 | 32:11.3 | 45.06932 | 48.14163 | 40.70687 | 48.36869 | ||
342 | 32:15.3 | 45.01954 | 48.04136 | 40.65305 | 48.27208 | ||
343 | 32:19.3 | 44.9117 | 47.94733 | 40.5598 | 48.14795 | ||
344 | 32:23.3 | 44.85825 | 47.91389 | 40.566 | 48.09211 | ||
345 | 32:27.3 | 44.77668 | 47.8307 | 40.47007 | 47.97229 | ||
346 | 32:31.3 | 44.73682 | 47.79906 | 40.40993 | 47.89384 | ||
347 | 32:35.3 | 44.68791 | 47.75027 | 40.35157 | 47.8852 | ||
348 | 32:39.3 | 44.57552 | 47.64899 | 40.28573 | 47.82994 | ||
349 | 32:43.3 | 44.50576 | 47.60109 | 40.28493 | 47.73837 | ||
350 | 32:47.3 | 44.41601 | 47.44825 | 40.22796 | 47.58878 | ||
351 | 32:51.3 | 44.40881 | 47.42118 | 40.23709 | 47.59342 | ||
352 | 32:55.3 | 44.35987 | 47.4004 | 40.22035 | 47.59177 | ||
353 | 32:59.3 | 44.28012 | 47.34615 | 40.17781 | 47.51317 | ||
354 | 33:03.3 | 44.20762 | 47.2711 | 40.11135 | 47.46687 | ||
355 | 33:07.3 | 44.20131 | 47.25938 | 40.12315 | 47.49685 | ||
356 | 33:11.3 | 44.15692 | 47.19339 | 40.09577 | 47.44016 | ||
357 | 33:15.3 | 44.10073 | 47.1319 | 40.06298 | 47.34843 | ||
358 | 33:19.3 | 44.00371 | 47.06315 | 40.04249 | 47.2461 | ||
359 | 33:23.3 | 43.95748 | 46.99261 | 39.99639 | 47.18406 | ||
360 | 33:27.3 | 43.89038 | 46.88768 | 39.91031 | 47.13064 | ||
361 | 33:31.3 | 43.82057 | 46.82165 | 39.897 | 47.07382 | ||
362 | 33:35.3 | 43.75256 | 46.78728 | 39.82164 | 47.03711 | ||
363 | 33:39.3 | 43.68909 | 46.69682 | 39.74359 | 46.97765 | ||
364 | 33:43.3 | 43.60201 | 46.58822 | 39.66879 | 46.84883 | ||
365 | 33:47.3 | 43.53036 | 46.50768 | 39.58708 | 46.78926 | ||
366 | 33:51.3 | 43.45508 | 46.42535 | 39.5791 | 46.73416 | ||
367 | 33:55.3 | 43.36982 | 46.36473 | 39.51432 | 46.6703 | ||
368 | 33:59.3 | 43.30363 | 46.31317 | 39.50732 | 46.63452 | ||
369 | 34:03.3 | 43.31546 | 46.29873 | 39.55818 | 46.61292 | ||
370 | 34:07.3 | 43.2429 | 46.22 | 39.49873 | 46.57442 | ||
371 | 34:11.3 | 43.18575 | 46.15846 | 39.48009 | 46.50179 | ||
372 | 34:15.3 | 43.14403 | 46.13223 | 39.4296 | 46.40298 | ||
373 | 34:19.3 | 43.12501 | 46.07344 | 39.42002 | 46.35327 | ||
374 | 34:23.3 | 43.06603 | 45.95214 | 39.37821 | 46.3059 | ||
375 | 34:27.3 | 42.98255 | 45.84984 | 39.3364 | 46.20687 | ||
376 | 34:31.3 | 42.9254 | 45.79643 | 39.29557 | 46.16133 | ||
377 | 34:35.3 | 42.84462 | 45.7086 | 39.22356 | 46.03599 | ||
378 | 34:39.3 | 42.75387 | 45.67147 | 39.1471 | 46.02013 | ||
379 | 34:43.3 | 42.6967 | 45.63617 | 39.1027 | 45.94216 | ||
380 | 34:47.3 | 42.61863 | 45.56915 | 39.05099 | 45.82719 | ||
381 | 34:51.3 | 42.56508 | 45.51482 | 39.0208 | 45.73166 | ||
382 | 34:55.3 | 42.52063 | 45.49855 | 39.02187 | 45.7187 | ||
383 | 34:59.3 | 42.46436 | 45.43607 | 38.98812 | 45.7073 | ||
384 | 35:03.3 | 42.39811 | 45.35368 | 38.96244 | 45.70038 | ||
385 | 35:07.3 | 42.3736 | 45.30026 | 38.91003 | 45.67321 | ||
386 | 35:11.3 | 42.3782 | 45.31209 | 38.92375 | 45.67008 | ||
387 | 35:15.3 | 42.32102 | 45.25594 | 38.8891 | 45.62012 | ||
388 | 35:19.3 | 42.27563 | 45.20522 | 38.84378 | 45.56226 | ||
389 | 35:23.3 | 42.22479 | 45.16266 | 38.82779 | 45.48509 | ||
390 | 35:27.3 | 42.16303 | 45.11645 | 38.7646 | 45.42624 | ||
391 | 35:31.3 | 42.08949 | 45.0458 | 38.73527 | 45.37273 | ||
392 | 35:35.3 | 42.04409 | 44.97243 | 38.6926 | 45.31484 | ||
393 | 35:39.3 | 41.97052 | 44.86823 | 38.65064 | 45.23132 | ||
394 | 35:43.3 | 41.87334 | 44.78396 | 38.59721 | 45.18648 | ||
395 | 35:47.3 | 41.83066 | 44.72417 | 38.57232 | 45.13558 | ||
396 | 35:51.3 | 41.74707 | 44.63535 | 38.48055 | 45.00727 | ||
397 | 35:55.3 | 41.64805 | 44.51119 | 38.39766 | 44.8956 | ||
398 | 35:59.3 | 41.5981 | 44.46226 | 38.33629 | 44.79462 | ||
399 | 36:03.3 | 41.55724 | 44.44958 | 38.34438 | 44.75959 | ||
400 | 36:07.3 | 41.56 | 44.42878 | 38.32955 | 44.76777 | ||
401 | 36:11.3 | 41.50731 | 44.37893 | 38.30375 | 44.73967 | ||
402 | 36:15.3 | 41.4828 | 44.35176 | 38.27271 | 44.70903 | ||
403 | 36:19.3 | 41.42468 | 44.3119 | 38.25057 | 44.63183 | ||
404 | 36:23.3 | 41.39199 | 44.28926 | 38.24443 | 44.58625 | ||
405 | 36:27.3 | 41.36202 | 44.2775 | 38.21428 | 44.61269 | ||
406 | 36:31.3 | 41.31023 | 44.21767 | 38.17158 | 44.53188 | ||
407 | 36:35.3 | 41.22024 | 44.09527 | 38.08943 | 44.40858 | ||
408 | 36:39.3 | 41.18846 | 44.0418 | 38.01832 | 44.23729 | ||
409 | 36:43.3 | 41.10392 | 43.97378 | 37.96027 | 44.12808 | ||
410 | 36:47.3 | 41.02393 | 43.91484 | 37.94594 | 44.1614 | ||
411 | 36:51.3 | 40.96577 | 43.85682 | 37.92992 | 44.17107 | ||
412 | 36:55.3 | 40.90941 | 43.78609 | 37.91736 | 44.12613 | ||
413 | 36:59.3 | 40.84124 | 43.71354 | 37.86741 | 44.06361 | ||
414 | 37:03.3 | 40.81673 | 43.69272 | 37.849 | 44.01728 | ||
415 | 37:07.3 | 40.77129 | 43.60929 | 37.81517 | 44.01992 | ||
416 | 37:11.3 | 40.73765 | 43.59208 | 37.80537 | 44.00585 | ||
417 | 37:15.3 | 40.7186 | 43.58484 | 37.76816 | 43.94183 | ||
418 | 37:19.3 | 40.67496 | 43.54857 | 37.737 | 43.9005 | ||
419 | 37:23.3 | 40.64318 | 43.5205 | 37.72205 | 43.88309 | ||
420 | 37:27.3 | 40.57499 | 43.4688 | 37.69712 | 43.84175 | ||
421 | 37:31.3 | 40.55044 | 43.41347 | 37.67574 | 43.77839 | ||
422 | 37:35.3 | 40.46953 | 43.36087 | 37.64545 | 43.64728 | ||
423 | 37:39.3 | 40.39131 | 43.291 | 37.5642 | 43.5802 | ||
424 | 37:43.3 | 40.34492 | 43.22933 | 37.50807 | 43.54939 | ||
425 | 37:47.3 | 40.28308 | 43.15401 | 37.47234 | 43.49383 | ||
426 | 37:51.3 | 40.23034 | 43.08507 | 37.44382 | 43.46566 | ||
427 | 37:55.3 | 40.1503 | 43.01792 | 37.36887 | 43.40129 | ||
428 | 37:59.3 | 40.08206 | 42.92989 | 37.29204 | 43.32626 | ||
429 | 38:03.3 | 40.04477 | 42.87999 | 37.25737 | 43.27263 | ||
430 | 38:07.3 | 40.02933 | 42.85189 | 37.23875 | 43.17143 | ||
431 | 38:11.3 | 39.97931 | 42.792 | 37.19595 | 43.13179 | ||
432 | 38:15.3 | 39.94386 | 42.78567 | 37.23715 | 43.14783 | ||
433 | 38:19.3 | 39.88655 | 42.74484 | 37.15602 | 43.07383 | ||
434 | 38:23.3 | 39.8693 | 42.72491 | 37.10807 | 43.08459 | ||
435 | 38:27.3 | 39.85112 | 42.69769 | 37.13491 | 43.06531 | ||
436 | 38:31.3 | 39.7856 | 42.63507 | 37.13303 | 43.00265 | ||
437 | 38:35.3 | 39.72556 | 42.58333 | 37.1152 | 42.96387 | ||
438 | 38:39.3 | 39.65731 | 42.51343 | 37.08478 | 42.87387 | ||
439 | 38:43.3 | 39.59634 | 42.46532 | 37.02325 | 42.84743 | ||
440 | 38:47.3 | 39.529 | 42.39814 | 36.97321 | 42.80679 | ||
441 | 38:51.3 | 39.46436 | 42.31187 | 36.91683 | 42.73343 | ||
442 | 38:55.3 | 39.42159 | 42.25287 | 36.90077 | 42.66994 | ||
443 | 38:59.3 | 39.39796 | 42.23293 | 36.89115 | 42.65955 | ||
444 | 39:03.3 | 39.27957 | 42.11937 | 36.76844 | 42.54884 | ||
445 | 39:07.3 | 39.27049 | 42.08942 | 36.76944 | 42.46867 | ||
446 | 39:11.3 | 39.24776 | 42.05767 | 36.75892 | 42.4018 | ||
447 | 39:15.3 | 39.19679 | 41.99412 | 36.6911 | 42.34798 | ||
448 | 39:19.3 | 39.17041 | 41.95326 | 36.70904 | 42.36572 | ||
449 | 39:23.3 | 39.19046 | 41.95057 | 36.76278 | 42.37826 | ||
450 | 39:27.3 | 39.14861 | 41.92879 | 36.74681 | 42.29189 | ||
451 | 39:31.3 | 39.09126 | 41.87975 | 36.72718 | 42.30336 | ||
452 | 39:35.3 | 39.05212 | 41.83345 | 36.67899 | 42.25218 | ||
453 | 39:39.3 | 38.98839 | 41.80802 | 36.64061 | 42.18157 | ||
454 | 39:43.3 | 38.9301 | 41.7317 | 36.55383 | 42.10458 | ||
455 | 39:47.3 | 38.83994 | 41.67628 | 36.50553 | 41.96146 | ||
456 | 39:51.3 | 38.84726 | 41.67177 | 36.5334 | 41.91573 | ||
457 | 39:55.3 | 38.76254 | 41.57726 | 36.46258 | 41.87482 | ||
458 | 39:59.3 | 38.70881 | 41.51276 | 36.40097 | 41.86687 | ||
459 | 40:03.3 | 38.6651 | 41.46371 | 36.36794 | 41.85363 | ||
460 | 40:07.3 | 38.61591 | 41.38375 | 36.32051 | 41.76166 | ||
461 | 40:11.3 | 38.56308 | 41.36195 | 36.29818 | 41.68393 | ||
462 | 40:15.3 | 38.53669 | 41.29291 | 36.30274 | 41.60626 | ||
463 | 40:19.3 | 38.52033 | 41.28296 | 36.28506 | 41.625 | ||
464 | 40:23.3 | 38.49031 | 41.24936 | 36.24685 | 41.51031 | ||
465 | 40:27.3 | 38.45024 | 41.20395 | 36.21837 | 41.47063 | ||
466 | 40:31.3 | 38.41561 | 41.12762 | 36.15395 | 41.46081 | ||
467 | 40:35.3 | 38.39924 | 41.12126 | 36.17102 | 41.49097 | ||
468 | 40:39.3 | 38.35004 | 41.07127 | 36.17093 | 41.46435 | ||
469 | 40:43.3 | 38.22973 | 40.95852 | 36.07315 | 41.37204 | ||
470 | 40:47.3 | 38.24799 | 40.96401 | 36.07076 | 41.3511 | ||
471 | 40:51.3 | 38.14045 | 40.86126 | 35.94535 | 41.22172 | ||
472 | 40:55.3 | 38.10036 | 40.81945 | 35.91139 | 41.21199 | ||
473 | 40:59.3 | 38.04112 | 40.75764 | 35.89431 | 41.2004 | ||
474 | 41:03.3 | 38.01926 | 40.73675 | 35.89888 | 41.13328 | ||
475 | 41:07.3 | 37.94815 | 40.6658 | 35.81278 | 41.04011 | ||
476 | 41:11.3 | 37.90716 | 40.62308 | 35.79678 | 40.97209 | ||
477 | 41:15.3 | 37.87161 | 40.58126 | 35.70995 | 40.95341 | ||
478 | 41:19.3 | 37.87531 | 40.58495 | 35.71749 | 41.01042 | ||
479 | 41:23.3 | 37.80967 | 40.53038 | 35.69772 | 40.94838 | ||
480 | 41:27.3 | 37.80241 | 40.53496 | 35.6988 | 40.8946 | ||
481 | 41:31.3 | 37.78331 | 40.53772 | 35.73656 | 40.86028 | ||
482 | 41:35.3 | 37.7423 | 40.49044 | 35.73835 | 40.88417 | ||
483 | 41:39.3 | 37.70584 | 40.43498 | 35.71599 | 40.83726 | ||
484 | 41:43.3 | 37.65936 | 40.39589 | 35.70527 | 40.75938 | ||
485 | 41:47.3 | 37.59097 | 40.32038 | 35.61026 | 40.69102 | ||
486 | 41:51.3 | 37.55724 | 40.26128 | 35.54945 | 40.69545 | ||
487 | 41:55.3 | 37.508 | 40.21488 | 35.52162 | 40.64135 | ||
488 | 41:59.3 | 37.44053 | 40.1794 | 35.51616 | 40.58194 | ||
489 | 42:03.3 | 37.38214 | 40.10662 | 35.47034 | 40.5233 | ||
490 | 42:07.3 | 37.34935 | 40.06571 | 35.45443 | 40.53235 | ||
491 | 42:11.3 | 37.30557 | 40.00931 | 35.33981 | 40.47911 | ||
492 | 42:15.3 | 37.29556 | 39.99477 | 35.32737 | 40.44289 | ||
493 | 42:19.3 | 37.28281 | 39.98114 | 35.34 | 40.41731 | ||
494 | 42:23.3 | 37.23906 | 39.96114 | 35.35531 | 40.37311 | ||
495 | 42:27.3 | 37.20168 | 39.91203 | 35.34635 | 40.24553 | ||
496 | 42:31.3 | 37.18345 | 39.90294 | 35.34019 | 40.23677 | ||
497 | 42:35.3 | 37.15794 | 39.86566 | 35.30896 | 40.25547 | ||
498 | 42:39.3 | 37.11873 | 39.82564 | 35.29822 | 40.22624 | ||
499 | 42:43.3 | 37.06126 | 39.76739 | 35.25158 | 40.16942 | ||
500 | 42:47.3 | 37.02933 | 39.67733 | 35.2131 | 40.07459 | ||
501 | 42:51.3 | 36.9819 | 39.60817 | 35.17719 | 40.01156 | ||
502 | 42:55.3 | 36.92353 | 39.56449 | 35.15124 | 39.95571 | ||
503 | 42:59.3 | 36.87607 | 39.50986 | 35.09375 | 39.92892 | ||
504 | 43:03.3 | 36.81403 | 39.46344 | 35.0462 | 39.93326 | ||
505 | 43:07.3 | 36.77754 | 39.43795 | 35.03456 | 39.88361 | ||
506 | 43:11.3 | 36.6945 | 39.33965 | 34.96184 | 39.78764 | ||
507 | 43:15.3 | 36.64705 | 39.28138 | 34.94024 | 39.72902 | ||
508 | 43:19.3 | 36.60143 | 39.25225 | 34.91517 | 39.72015 | ||
509 | 43:23.3 | 36.58503 | 39.21495 | 34.90183 | 39.68743 | ||
510 | 43:27.3 | 36.61335 | 39.215 | 34.93704 | 39.66996 | ||
511 | 43:31.3 | 36.57502 | 39.17404 | 34.8833 | 39.62117 | ||
512 | 43:35.3 | 36.5431 | 39.13762 | 34.78387 | 39.53067 | ||
513 | 43:39.3 | 36.51025 | 39.11123 | 34.78476 | 39.53156 | ||
514 | 43:43.3 | 36.4984 | 39.09941 | 34.80367 | 39.55916 | ||
515 | 43:47.3 | 36.45095 | 39.08393 | 34.79024 | 39.52633 | ||
516 | 43:51.3 | 36.42175 | 39.05298 | 34.76962 | 39.42338 | ||
517 | 43:55.3 | 36.35785 | 38.98832 | 34.65833 | 39.36284 | ||
518 | 43:59.3 | 36.34053 | 38.97104 | 34.64678 | 39.38513 | ||
519 | 44:03.3 | 36.28757 | 38.89272 | 34.63145 | 39.32112 | ||
520 | 44:07.3 | 36.25655 | 38.86632 | 34.59919 | 39.28117 | ||
521 | 44:11.3 | 36.16617 | 38.78526 | 34.58466 | 39.18509 | ||
522 | 44:15.3 | 36.12416 | 38.74063 | 34.55589 | 39.13528 | ||
523 | 44:19.3 | 36.08401 | 38.70329 | 34.49941 | 39.15659 | ||
524 | 44:23.3 | 36.06029 | 38.66779 | 34.4762 | 39.11228 | ||
525 | 44:27.3 | 36.02925 | 38.61862 | 34.47261 | 39.03767 | ||
526 | 44:31.3 | 36.02472 | 38.61682 | 34.46205 | 38.9819 | ||
527 | 44:35.3 | 35.99734 | 38.57859 | 34.46393 | 38.99088 | ||
528 | 44:39.3 | 35.96083 | 38.54397 | 34.42359 | 38.99887 | ||
529 | 44:43.3 | 35.93071 | 38.52394 | 34.41014 | 38.97223 | ||
530 | 44:47.3 | 35.90514 | 38.48113 | 34.36351 | 38.90293 | ||
531 | 44:51.3 | 35.90518 | 38.49847 | 34.34219 | 38.89956 | ||
532 | 44:55.3 | 35.84855 | 38.41829 | 34.27923 | 38.83363 | ||
533 | 44:59.3 | 35.79832 | 38.36272 | 34.26846 | 38.78653 | ||
534 | 45:03.3 | 35.75085 | 38.33449 | 34.2586 | 38.76342 | ||
535 | 45:07.3 | 35.70701 | 38.27161 | 34.22083 | 38.694 | ||
536 | 45:11.3 | 35.62936 | 38.21785 | 34.17041 | 38.63871 | ||
537 | 45:15.3 | 35.60563 | 38.17504 | 34.15257 | 38.61569 | ||
538 | 45:19.3 | 35.53712 | 38.09848 | 34.05907 | 38.53283 | ||
539 | 45:23.3 | 35.52435 | 38.07936 | 34.03674 | 38.53113 | ||
540 | 45:27.3 | 35.52801 | 38.05204 | 34.04222 | 38.54101 | ||
541 | 45:31.3 | 35.52254 | 38.02928 | 34.02975 | 38.48331 | ||
542 | 45:35.3 | 35.46684 | 37.99646 | 33.99655 | 38.42017 | ||
543 | 45:39.3 | 35.48056 | 37.97828 | 33.97969 | 38.43548 | ||
544 | 45:43.3 | 35.46141 | 37.95643 | 34.02116 | 38.44812 | ||
545 | 45:47.3 | 35.40021 | 37.88079 | 33.97081 | 38.4089 | ||
546 | 45:51.3 | 35.39109 | 37.85164 | 33.96373 | 38.41344 | ||
547 | 45:55.3 | 35.3582 | 37.79057 | 33.95915 | 38.33418 | ||
548 | 45:59.3 | 35.31068 | 37.76959 | 33.93303 | 38.26204 | ||
549 | 46:03.3 | 35.23483 | 37.724 | 33.88437 | 38.17466 | ||
550 | 46:07.3 | 35.18732 | 37.69572 | 33.82772 | 38.17457 | ||
551 | 46:11.3 | 35.13889 | 37.65744 | 33.7981 | 38.15144 | ||
552 | 46:15.3 | 35.11057 | 37.57632 | 33.77656 | 38.13542 | ||
553 | 46:19.3 | 35.0594 | 37.52161 | 33.70733 | 38.05346 | ||
554 | 46:23.3 | 35.02924 | 37.50336 | 33.66953 | 37.99462 | ||
555 | 46:27.3 | 34.9927 | 37.48331 | 33.66503 | 37.99462 | ||
556 | 46:31.3 | 34.95888 | 37.4432 | 33.66683 | 37.951 | ||
557 | 46:35.3 | 34.92051 | 37.39579 | 33.60308 | 37.88869 | ||
558 | 46:39.3 | 34.93884 | 37.43049 | 33.63039 | 37.9496 | ||
559 | 46:43.3 | 34.91325 | 37.39585 | 33.64477 | 37.91756 | ||
560 | 46:47.3 | 34.88584 | 37.35573 | 33.64297 | 37.81427 | ||
561 | 46:51.3 | 34.88221 | 37.34118 | 33.65483 | 37.85632 | ||
562 | 46:55.3 | 34.8237 | 37.25362 | 33.6268 | 37.80894 | ||
563 | 46:59.3 | 34.77707 | 37.22625 | 33.55037 | 37.76342 | ||
564 | 47:03.3 | 34.74326 | 37.21348 | 33.52163 | 37.7011 | ||
565 | 47:07.3 | 34.68567 | 37.17335 | 33.50267 | 37.64488 | ||
566 | 47:11.3 | 34.65094 | 37.11042 | 33.42802 | 37.6145 | ||
567 | 47:15.3 | 34.58601 | 37.05842 | 33.3821 | 37.59036 | ||
568 | 47:19.3 | 34.56042 | 37.0265 | 33.37492 | 37.55473 | ||
569 | 47:23.3 | 34.54306 | 37.01282 | 33.35695 | 37.52533 | ||
570 | 47:27.3 | 34.52021 | 36.99094 | 33.32191 | 37.49326 | ||
571 | 47:31.3 | 34.48273 | 36.96358 | 33.31292 | 37.45761 | ||
572 | 47:35.3 | 34.45074 | 36.93257 | 33.2527 | 37.36583 | ||
573 | 47:39.3 | 34.41691 | 36.88148 | 33.25451 | 37.29453 | ||
574 | 47:43.3 | 34.42974 | 36.86328 | 33.2503 | 37.29302 | ||
575 | 47:47.3 | 34.41331 | 36.84049 | 33.27825 | 37.3154 | ||
576 | 47:51.3 | 34.37217 | 36.84141 | 33.26477 | 37.26638 | ||
577 | 47:55.3 | 34.31731 | 36.80309 | 33.20276 | 37.1701 | ||
578 | 47:59.3 | 34.29078 | 36.72098 | 33.18199 | 37.16911 | ||
579 | 48:03.3 | 34.23042 | 36.65436 | 33.1054 | 37.14574 | ||
580 | 48:07.3 | 34.22676 | 36.66258 | 33.11628 | 37.1708 | ||
581 | 48:11.3 | 34.18105 | 36.6416 | 33.07222 | 37.16189 | ||
582 | 48:15.3 | 34.13804 | 36.59413 | 33.03788 | 37.09304 | ||
583 | 48:19.3 | 34.10876 | 36.55671 | 33.03598 | 37.0118 | ||
584 | 48:23.3 | 34.07951 | 36.53665 | 33.03518 | 37.01813 | ||
585 | 48:27.3 | 33.99259 | 36.43897 | 32.94939 | 36.9366 | ||
586 | 48:31.3 | 33.99443 | 36.45541 | 32.93788 | 36.92787 | ||
587 | 48:35.3 | 33.97066 | 36.42257 | 32.92888 | 36.87078 | ||
588 | 48:39.3 | 33.98349 | 36.41712 | 32.94256 | 36.82367 | ||
589 | 48:43.3 | 33.93227 | 36.37971 | 32.95695 | 36.80761 | ||
590 | 48:47.3 | 33.90759 | 36.35689 | 32.91558 | 36.821 | ||
591 | 48:51.3 | 33.89569 | 36.32861 | 32.8904 | 36.80583 | ||
592 | 48:55.3 | 33.89389 | 36.33046 | 32.92297 | 36.82921 | ||
593 | 48:59.3 | 33.87197 | 36.31862 | 32.90966 | 36.8294 | ||
594 | 49:03.3 | 33.85273 | 36.25562 | 32.8663 | 36.7614 | ||
595 | 49:07.3 | 33.80516 | 36.24102 | 32.85192 | 36.70697 | ||
596 | 49:11.3 | 33.76948 | 36.1826 | 32.82483 | 36.65512 | ||
597 | 49:15.3 | 33.71092 | 36.13694 | 32.75367 | 36.61932 | ||
598 | 49:19.3 | 33.70086 | 36.12782 | 32.72488 | 36.55506 | ||
599 | 49:23.3 | 33.65512 | 36.08036 | 32.73568 | 36.57022 | ||
600 | 49:27.3 | 33.59838 | 36.03561 | 32.7041 | 36.53175 | ||
601 | 49:31.3 | 33.56177 | 35.98996 | 32.67072 | 36.50041 | ||
602 | 49:35.3 | 33.53248 | 35.93791 | 32.62743 | 36.45032 | ||
603 | 49:39.3 | 33.54076 | 35.92608 | 32.64661 | 36.46756 | ||
604 | 49:43.3 | 33.52611 | 35.89322 | 32.62231 | 36.38988 | ||
605 | 49:47.3 | 33.48311 | 35.87588 | 32.60702 | 36.33184 | ||
606 | 49:51.3 | 33.52617 | 35.91428 | 32.65868 | 36.36972 | ||
607 | 49:55.3 | 33.48957 | 35.87136 | 32.61189 | 36.34829 | ||
608 | 49:59.3 | 33.45389 | 35.81842 | 32.56239 | 36.32239 | ||
609 | 50:03.3 | 33.43102 | 35.78554 | 32.5543 | 36.28934 | ||
610 | 50:07.3 | 33.37974 | 35.72799 | 32.528 | 36.257 | ||
611 | 50:11.3 | 33.37334 | 35.73349 | 32.5317 | 36.26246 | ||
612 | 50:15.3 | 33.3175 | 35.69328 | 32.4712 | 36.2042 | ||
613 | 50:19.3 | 33.27539 | 35.654 | 32.44861 | 36.17463 | ||
614 | 50:23.3 | 33.23421 | 35.60196 | 32.4108 | 36.14962 | ||
615 | 50:27.3 | 33.21041 | 35.56635 | 32.38559 | 36.09243 | ||
616 | 50:31.3 | 33.14998 | 35.50695 | 32.31968 | 35.98055 | ||
617 | 50:35.3 | 33.11519 | 35.48229 | 32.31158 | 35.95463 | ||
618 | 50:39.3 | 33.1143 | 35.4814 | 32.33148 | 35.96276 | ||
619 | 50:43.3 | 33.05019 | 35.40009 | 32.25925 | 35.94739 | ||
620 | 50:47.3 | 33.08411 | 35.40834 | 32.27575 | 35.95034 | ||
621 | 50:51.3 | 33.06581 | 35.39648 | 32.27313 | 35.93256 | ||
622 | 50:55.3 | 33.06675 | 35.38007 | 32.29854 | 35.94437 | ||
623 | 50:59.3 | 33.02739 | 35.3545 | 32.26522 | 35.89878 | ||
624 | 51:03.3 | 33.01549 | 35.3207 | 32.25891 | 35.87197 | ||
625 | 51:07.3 | 32.97703 | 35.28963 | 32.20839 | 35.81108 | ||
626 | 51:11.3 | 32.96606 | 35.2732 | 32.17696 | 35.80045 | ||
627 | 51:15.3 | 32.90929 | 35.23482 | 32.12823 | 35.69306 | ||
628 | 51:19.3 | 32.85617 | 35.17268 | 32.09742 | 35.65084 | ||
629 | 51:23.3 | 32.84243 | 35.14526 | 32.10371 | 35.66336 | ||
630 | 51:27.3 | 32.76731 | 35.06209 | 32.03046 | 35.62015 | ||
631 | 51:31.3 | 32.75541 | 35.05387 | 32.03596 | 35.56927 | ||
632 | 51:35.3 | 32.71511 | 35.01456 | 31.98803 | 35.49215 | ||
633 | 51:39.3 | 32.69405 | 34.9771 | 31.93937 | 35.44295 | ||
634 | 51:43.3 | 32.70505 | 35.00546 | 31.93775 | 35.42435 | ||
635 | 51:47.3 | 32.66567 | 34.95336 | 31.88809 | 35.37504 | ||
636 | 51:51.3 | 32.69135 | 34.98447 | 31.93613 | 35.43258 | ||
637 | 51:55.3 | 32.65289 | 34.96162 | 31.93163 | 35.4299 | ||
638 | 51:59.3 | 32.65292 | 34.94793 | 31.92911 | 35.43724 | ||
639 | 52:03.3 | 32.6007 | 34.88578 | 31.91811 | 35.412 | ||
640 | 52:07.3 | 32.61171 | 34.87667 | 31.94263 | 35.43008 | ||
641 | 52:11.3 | 32.59064 | 34.87027 | 31.9201 | 35.40771 | ||
642 | 52:15.3 | 32.52652 | 34.80263 | 31.8379 | 35.29388 | ||
643 | 52:19.3 | 32.49813 | 34.77978 | 31.82168 | 35.25181 | ||
644 | 52:23.3 | 32.48623 | 34.76424 | 31.80725 | 35.25629 | ||
645 | 52:27.3 | 32.42299 | 34.69293 | 31.75479 | 35.19614 | ||
646 | 52:31.3 | 32.39001 | 34.65909 | 31.73486 | 35.11906 | ||
647 | 52:35.3 | 32.36896 | 34.63717 | 31.70971 | 35.10931 | ||
648 | 52:39.3 | 32.35339 | 34.62254 | 31.71152 | 35.13706 | ||
649 | 52:43.3 | 32.33966 | 34.6116 | 31.7098 | 35.14341 | ||
650 | 52:47.3 | 32.33326 | 34.60522 | 31.67654 | 35.13098 | ||
651 | 52:51.3 | 32.31495 | 34.5778 | 31.64769 | 35.11487 | ||
652 | 52:55.3 | 32.26914 | 34.5458 | 31.64498 | 35.07457 | ||
653 | 52:59.3 | 32.31316 | 34.58607 | 31.67692 | 35.04093 | ||
654 | 53:03.3 | 32.23892 | 34.49919 | 31.59728 | 34.94751 | ||
655 | 53:07.3 | 32.25088 | 34.51295 | 31.612 | 34.94062 | ||
656 | 53:11.3 | 32.23254 | 34.45991 | 31.59657 | 34.85992 | ||
657 | 53:15.3 | 32.20414 | 34.44529 | 31.59296 | 34.88411 | ||
658 | 53:19.3 | 32.13724 | 34.38676 | 31.57113 | 34.84361 | ||
659 | 53:23.3 | 32.10241 | 34.32457 | 31.53767 | 34.83276 | ||
660 | 53:27.3 | 32.06301 | 34.29623 | 31.52594 | 34.83724 | ||
661 | 53:31.3 | 32.03828 | 34.27885 | 31.49618 | 34.82918 | ||
662 | 53:35.3 | 31.9961 | 34.23859 | 31.43647 | 34.77703 | ||
663 | 53:39.3 | 31.95211 | 34.19652 | 31.41472 | 34.74021 | ||
664 | 53:43.3 | 31.9301 | 34.14348 | 31.37854 | 34.66575 | ||
665 | 53:47.3 | 31.89528 | 34.12611 | 31.3587 | 34.64334 | ||
666 | 53:51.3 | 31.92096 | 34.11789 | 31.36971 | 34.66055 | ||
667 | 53:55.3 | 31.9384 | 34.12067 | 31.40057 | 34.68224 | ||
668 | 53:59.3 | 31.9045 | 34.10512 | 31.40327 | 34.62131 | ||
669 | 54:03.3 | 31.89444 | 34.10422 | 31.35375 | 34.61602 | ||
670 | 54:07.3 | 31.85868 | 34.06122 | 31.34012 | 34.55678 | ||
671 | 54:11.3 | 31.85503 | 34.06399 | 31.34382 | 34.49682 | ||
672 | 54:15.3 | 31.84221 | 34.04571 | 31.32587 | 34.46195 | ||
673 | 54:19.3 | 31.76519 | 33.97525 | 31.27055 | 34.41863 | ||
674 | 54:23.3 | 31.7652 | 33.97892 | 31.29321 | 34.4017 | ||
675 | 54:27.3 | 31.72028 | 33.93684 | 31.27596 | 34.41415 | DAQ Stop | LOG Stop |
Biot Numbers
Data Set | h ( | Bi |
Copper Sphere | 291.121 | 0.00309 |
Stainless Steel Sphere | 265.350 | 0.00282 |
Copper cube connected at the corner | 783.299 | 0.00833 |
Copper cube connected at the center | 275.168 | 0.00292 |
Copper Sphere | 0.0596 | 6.347E-6 |
Stainless Steel Sphere | 0.0557 | 5.926E-6 |
Copper cube connected at the corner | 0.247 | 2.632E-6 |
Copper cube connected at the center | 0.6406 | 6.813E-6 |
Discussion
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4)
Uncertainty
The thermocouples used in this experiment are of Copper-Constantan composition (Type T). According to Measurement Computing USB -Temp and TC Series user’s manual, the Type T thermocouple has a temperature range of -200 to 400 degrees Celsius. At -200 degrees, the maximum error is 2.082 degrees, while the average error is 0.744 degrees. At 0 degrees, the maximum error is 0.870, while the average is 0.290 degrees. At the maximum temperature of 400 degrees, the maximum is 0.568 degrees and the average is 0.208 degrees. The amount of digital bits (maximum resolution) of the USB measuring device is 24.