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х (m) 2 3 4 8 10 P (g/cm³) | Ac (cm³) 4.10 3.75 3.69 3.72 3.88 3.45 3.35 110 105 106 110 125 131 145 (a) Propose 2 possible combination of integration methods to determine the total mass for a 10-meter hollow block. Justify the answer

х (m) 2 3 4 8 10 P (g/cm³) | Ac (cm³) 4.10 3.75 3.69 3.72 3.88 3.45 3.35 110 105 106 110 125 131 145 (a) Propose 2 possible combination of integration methods to determine the total mass for a 10-meter hollow block. Justify the answer

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Instructions: Answer Question 4 according to the answer template. There are 3 printed pages for this question. Use 2 decimals points throughout your calculations. The total mass of a variable density hollow metal block is given by Equation 2.1 p(x)A.(x)dx (2.1) m = where m=mass, p(x)= density, A(x) = cross-sectional area, and x=distance along the block as shown in Figure 2.1. The data in Table 2.1 has been measured for a 10-m length hollow metal block Figure 2.1 The dimension of the hollow metal block Table 2.1 Measured data for the hollow metal block х (m) 2 3 4 8 10 P (g/cm³) 3.72 4.10 3.75 3.69 3.88 3.45 3.35 Ac (cm²) 110 105 106 110 125 131 145 (a) Propose 2 possible combination of integration methods to determine the total mass for a 10-meter hollow block. Justify the answer
Transcribed Image Text:Instructions: Answer Question 4 according to the answer template. There are 3 printed pages for this question. Use 2 decimals points throughout your calculations. The total mass of a variable density hollow metal block is given by Equation 2.1 p(x)A.(x)dx (2.1) m = where m=mass, p(x)= density, A(x) = cross-sectional area, and x=distance along the block as shown in Figure 2.1. The data in Table 2.1 has been measured for a 10-m length hollow metal block Figure 2.1 The dimension of the hollow metal block Table 2.1 Measured data for the hollow metal block х (m) 2 3 4 8 10 P (g/cm³) 3.72 4.10 3.75 3.69 3.88 3.45 3.35 Ac (cm²) 110 105 106 110 125 131 145 (a) Propose 2 possible combination of integration methods to determine the total mass for a 10-meter hollow block. Justify the answer
(b) Using the answer in part (a), determine the mass of the 10-meter metal block. Method 1 Method 2 c) The actual mass of a 10-meter hollow metal block is 453,150 g. Estimate the relative true error (&)% for both methods and conclude the best method.
Transcribed Image Text:(b) Using the answer in part (a), determine the mass of the 10-meter metal block. Method 1 Method 2 c) The actual mass of a 10-meter hollow metal block is 453,150 g. Estimate the relative true error (&)% for both methods and conclude the best method.
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