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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f90be84-6a5f-4918-aa9b-7eef73d614b1%2Fa6bfb771-df43-4cf1-bdd3-28c7f4a1b325%2Fx300hzh_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f90be84-6a5f-4918-aa9b-7eef73d614b1%2Fa6bfb771-df43-4cf1-bdd3-28c7f4a1b325%2F0cc58fg_processed.png&w=3840&q=75)
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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