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Getting a Little "Lift" out of Calculus Part
II: Answers
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Calculus Problem 1
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Calculus Problem 2
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Calculus Problem 3
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Problem 1:
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
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Measured
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Scaled
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Rectangle
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Width (cm)
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Height (cm)
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Width (sq. in.)
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Height (lbs/sq. in.)
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Area (lbs)
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1
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0.54
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4.90
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8.45
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16.61
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140.40
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2
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0.54
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2.90
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8.45
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9.83
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83.09
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3
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0.54
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2.32
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8.45
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7.86
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66.47
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4
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0.54
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2.05
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8.45
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6.95
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58.74
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5
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0.54
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1.80
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8.45
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6.10
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51.57
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6
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0.54
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1.70
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8.45
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5.76
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48.71
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7
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0.54
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1.45
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8.45
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4.92
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41.55
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8
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0.54
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1.38
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8.45
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4.68
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39.54
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9
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0.54
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1.25
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8.45
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4.24
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35.82
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10
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0.54
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1.15
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8.45
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3.90
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32.95
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11
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0.54
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1.10
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8.45
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3.73
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31.52
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12
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0.54
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0.98
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8.45
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3.32
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28.088
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13
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0.54
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0.85
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8.45
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2.88
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24.35
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14
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0.54
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0.70
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8.45
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2.37
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20.06
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15
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0.54
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0.64
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8.45
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2.17
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18.34
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16
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0.54
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0.50
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8.45
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1.70
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14.33
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17
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0.54
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0.34
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8.45
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1.15
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9.74
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Total (in lbs)
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721.18
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Problem 2:
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
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Scaled
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Rectangle
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Width (cm)
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Height (cm)
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Width (sq.in)
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Height (lbs/sq.in)
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Area (lbs)
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1
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0.30
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2.03
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4.64
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6.41
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29.79
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2
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0.30
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1.10
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4.64
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3.48
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16.14
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3
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0.30
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1.11
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4.64
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3.51
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16.29
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4
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0.30
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1.27
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4.64
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4.01
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18.64
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5
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0.30
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1.54
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4.64
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4.87
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22.60
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6
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0.30
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1.88
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4.64
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5.94
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27.59
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7
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0.30
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2.13
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4.64
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6.73
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31.26
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8
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0.30
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2.44
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4.64
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7.71
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35.81
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9
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0.30
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2.70
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4.64
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8.53
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39.62
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10
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0.30
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3.00
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4.64
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9.48
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44.03
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11
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0.30
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3.15
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4.64
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9.95
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46.23
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12
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0.30
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3.35
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4.64
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10.59
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49.16
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13
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0.30
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3.44
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4.64
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10.87
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50.48
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14
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0.30
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3.56
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4.64
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11.25
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52.24
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15
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0.30
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3.56
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4.64
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11.25
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52.24
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16
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0.30
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3.58
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4.64
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11.31
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52.54
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17
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0.30
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3.55
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4.64
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11.22
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52.10
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18
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0.30
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3.57
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4.64
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11.28
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52.39
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19
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0.30
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3.50
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4.64
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11.06
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51.36
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20
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0.30
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3.46
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4.64
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10.93
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50.78
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21
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0.30
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3.34
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4.64
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10.55
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49.01
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22
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0.30
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3.28
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4.64
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10.36
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48.13
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23
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0.30
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3.17
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4.64
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10.02
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46.52
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24
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0.30
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2.90
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4.64
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9.16
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42.56
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25
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0.30
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2.65
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4.64
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8.37
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38.89
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26
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0.30
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2.40
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4.64
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7.58
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35.22
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27
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0.30
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2.18
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4.64
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6.89
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31.99
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28
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0.30
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1.93
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4.64
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6.10
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28.32
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29
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0.30
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1.60
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4.64
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5.06
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23.48
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30
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0.30
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1.10
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4.64
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3.48
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16.14
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31
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0.30
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0.75
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4.64
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2.37
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11.01
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Total (in lbs)
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1162.56
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Problem 3:
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
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Related Pages:
Standards
Activity
Worksheet
Lesson Index
Aerodynamics Index
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