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Calculus Problem 1 |
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Calculus Problem 2 |
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Calculus Problem 3 |
This was solved using the geometry method described in the first part of the lab. The answer to the actual problem is shown using Figure 1 and Table 1.
Figure 1
Table 1
Measured
Scaled
Rectangle
Width (cm)
Height (cm)
Width (sq. in.)
Height (lbs/sq. in.)
Area (lbs)
1
0.54
4.90
8.45
16.61
140.40
2
0.54
2.90
8.45
9.83
83.09
3
0.54
2.32
8.45
7.86
66.47
4
0.54
2.05
8.45
6.95
58.74
5
0.54
1.80
8.45
6.10
51.57
6
0.54
1.70
8.45
5.76
48.71
7
0.54
1.45
8.45
4.92
41.55
8
0.54
1.38
8.45
4.68
39.54
9
0.54
1.25
8.45
4.24
35.82
10
0.54
1.15
8.45
3.90
32.95
11
0.54
1.10
8.45
3.73
31.52
12
0.54
0.98
8.45
3.32
28.088
13
0.54
0.85
8.45
2.88
24.35
14
0.54
0.70
8.45
2.37
20.06
15
0.54
0.64
8.45
2.17
18.34
16
0.54
0.50
8.45
1.70
14.33
17
0.54
0.34
8.45
1.15
9.74
Total (in lbs)
721.18
This was solved using the geometry method described in the first part of the lab. The answer to the actual problem is shown using Figure 2 and Table 2.
Figure 2
Table 2
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Measured |
Scaled |
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Rectangle |
Width (cm) |
Height (cm) |
Width (sq.in) |
Height (lbs/sq.in) |
Area (lbs) |
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1 |
0.30 |
2.03 |
4.64 |
6.41 |
29.79 |
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2 |
0.30 |
1.10 |
4.64 |
3.48 |
16.14 |
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3 |
0.30 |
1.11 |
4.64 |
3.51 |
16.29 |
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4 |
0.30 |
1.27 |
4.64 |
4.01 |
18.64 |
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5 |
0.30 |
1.54 |
4.64 |
4.87 |
22.60 |
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6 |
0.30 |
1.88 |
4.64 |
5.94 |
27.59 |
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7 |
0.30 |
2.13 |
4.64 |
6.73 |
31.26 |
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8 |
0.30 |
2.44 |
4.64 |
7.71 |
35.81 |
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9 |
0.30 |
2.70 |
4.64 |
8.53 |
39.62 |
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10 |
0.30 |
3.00 |
4.64 |
9.48 |
44.03 |
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11 |
0.30 |
3.15 |
4.64 |
9.95 |
46.23 |
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12 |
0.30 |
3.35 |
4.64 |
10.59 |
49.16 |
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13 |
0.30 |
3.44 |
4.64 |
10.87 |
50.48 |
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14 |
0.30 |
3.56 |
4.64 |
11.25 |
52.24 |
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15 |
0.30 |
3.56 |
4.64 |
11.25 |
52.24 |
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16 |
0.30 |
3.58 |
4.64 |
11.31 |
52.54 |
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17 |
0.30 |
3.55 |
4.64 |
11.22 |
52.10 |
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18 |
0.30 |
3.57 |
4.64 |
11.28 |
52.39 |
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19 |
0.30 |
3.50 |
4.64 |
11.06 |
51.36 |
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20 |
0.30 |
3.46 |
4.64 |
10.93 |
50.78 |
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21 |
0.30 |
3.34 |
4.64 |
10.55 |
49.01 |
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22 |
0.30 |
3.28 |
4.64 |
10.36 |
48.13 |
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23 |
0.30 |
3.17 |
4.64 |
10.02 |
46.52 |
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24 |
0.30 |
2.90 |
4.64 |
9.16 |
42.56 |
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25 |
0.30 |
2.65 |
4.64 |
8.37 |
38.89 |
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26 |
0.30 |
2.40 |
4.64 |
7.58 |
35.22 |
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27 |
0.30 |
2.18 |
4.64 |
6.89 |
31.99 |
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28 |
0.30 |
1.93 |
4.64 |
6.10 |
28.32 |
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29 |
0.30 |
1.60 |
4.64 |
5.06 |
23.48 |
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30 |
0.30 |
1.10 |
4.64 |
3.48 |
16.14 |
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31 |
0.30 |
0.75 |
4.64 |
2.37 |
11.01 |
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Total (in lbs) |
1162.56 |
This was solved using the integration method described in the second part of the lab. The answer to the actual problem is shown using Figure 3 and the functions shown below.Figure 3
Please send any comments to:
Web Site Related: Dale Morris (Dale.J.Morris@grc.nasa.gov), Technology Related: Tom Benson(Tom Benson@lerc.nasa.gov)
