3. Examine your data in Data Table 2 and in Data Table 3. For the data with the smallest percentage difference, compare the total energy at each point. Calculate the sum U₁+U₂ at x₁ as ½kx-mgx₁. Calculate that sum at x₂ as ½kx2-mgx₂. Do you expect them to agree reasonably well? Explain why they should or should not be the same. 4. Consider the same data as used in Question 3. Calculate the value of x halfway between x₁ and x₂. Calculate U₁+Ug = ½kx² - mgx for that point. Do you expect them to agree with the energy calculated in Question 3? If they agree reasonably well, explain why they do. If they do not agree, explain why they do not agree.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.2P: 5.2 Evaluate the Prandtl number from the following data: , .
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3. Examine your data in Data Table 2 and in Data Table 3. For the data with the smallest percentage
difference, compare the total energy at each point. Calculate the sum U₁+Ug at x₁ as ½kx-mgx₁.
Calculate that sum at x₂ as ½kx²-mgx₂. Do you expect them to agree reasonably well? Explain why
they should or should not be the same.
4. Consider the same data as used in Question 3. Calculate the value of x halfway between x₁ and x₂.
Calculate U₁+Ug=½kx² − mgx_for_that point. Do you expect them to agree with the energy
calculated in Question 3? If they agree reasonably well, explain why they do. If they do not agree,
explain why they do not agree.
Transcribed Image Text:3. Examine your data in Data Table 2 and in Data Table 3. For the data with the smallest percentage difference, compare the total energy at each point. Calculate the sum U₁+Ug at x₁ as ½kx-mgx₁. Calculate that sum at x₂ as ½kx²-mgx₂. Do you expect them to agree reasonably well? Explain why they should or should not be the same. 4. Consider the same data as used in Question 3. Calculate the value of x halfway between x₁ and x₂. Calculate U₁+Ug=½kx² − mgx_for_that point. Do you expect them to agree with the energy calculated in Question 3? If they agree reasonably well, explain why they do. If they do not agree, explain why they do not agree.
Data Table 2
X₁ (m) x₂ (m)
0.2500 0.145
0.3000 0.100
0.3500 0.655
0.4000 0.602
Data Table 3
m (kg)
10.5000
x₁ (m) x₂ (m)
m (kg)
0.282 0.75000.5000
0.3260.7000
0.374 0.6500
0.403 0.6000
Calculations Table 2
mg (x₂-x₁) (J)
2.43
1.96
1.49
0.99
Calculations Table 3
mg (x₂-x₁) (J)
2.29
1.83
1.35
0.97
1/2k (x²-x²) (J)
2.40
1.94
1.48
0.98
1/2k (x2-x²) (J)
2.34
1.86
1.37
0.96
% Diff
1.24%
1.03%
0.67%
1.02%
% Diff
2.16%
1.63%
1.47%
1.04%
Transcribed Image Text:Data Table 2 X₁ (m) x₂ (m) 0.2500 0.145 0.3000 0.100 0.3500 0.655 0.4000 0.602 Data Table 3 m (kg) 10.5000 x₁ (m) x₂ (m) m (kg) 0.282 0.75000.5000 0.3260.7000 0.374 0.6500 0.403 0.6000 Calculations Table 2 mg (x₂-x₁) (J) 2.43 1.96 1.49 0.99 Calculations Table 3 mg (x₂-x₁) (J) 2.29 1.83 1.35 0.97 1/2k (x²-x²) (J) 2.40 1.94 1.48 0.98 1/2k (x2-x²) (J) 2.34 1.86 1.37 0.96 % Diff 1.24% 1.03% 0.67% 1.02% % Diff 2.16% 1.63% 1.47% 1.04%
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