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curator:Tim Erickson
Cooling

Genuine math luminaries (and the curator) put hot water in a beaker, and then put a Vernier temperature probe in the water, setting it to record data every 6 seconds for an hour. Here we have the data from each minute.

Time is the time in minutes.
Temperature is the temperature in degrees Celsius.

How does the temperature decrease?

What's the temperature of the room?

How can you use Fathom to figure this out elegantly?

When (if ever) will the temperature reach 30 degrees?

(data by Harold Asturias, Pam Beck, and Tim Erickson, June 2003)

Time Temperature
0
49.0742
1
48.6132
2
48.1843
3
47.8435
4
47.4483
5
47.1116
6
46.7489
7
46.3884
8
46.0850
9
45.7282
10
45.4007
11
45.0477
12
44.6697
13
44.4278
14
44.1867
15
43.8135
16
43.5216
17
43.2573
18
42.9414
19
42.7054
20
42.4441
21
42.1576
22
41.8723
23
41.6138
24
41.3048
25
41.1251
26
40.8691
27
40.5629
28
40.3848
29
40.1565
30
39.8782
31
39.6007
32
39.4498
33
39.1738
34
38.8486
35
38.7737
36
38.5495
37
38.301
38
38.0778
39
37.9541
40
37.7564
41
37.5099
42
37.3623
43
37.1413
44
36.9697
45
36.7495
46
36.6029
47
36.4322
48
36.2861
49
36.1401
50
35.9216
51
35.7519
52
35.6308
53
35.4857
54
35.3166
55
35.1237
56
34.9792
57
34.8829
58
34.7387
59
34.5946
60
34.4747

 

<text form of the data>

©2003 eeps media
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Last updated February 14, 2007
supported by NSF award DMI-0216656