Concept explainers
(a)
The volume percentage of carbon fibers in the composite.
(a)
Answer to Problem 41AAP
The volume percentage of carbon fibers in the composite is
Explanation of Solution
Write the expression to calculate average density of the composite
Here, density of carbon fiber is
Write the expression to calculate volume fraction of carbon fiber
Conclusion:
Substitute
Substitute
Thus, the volume percentage of carbon fibers in the composite is
(b)
The weight percentage of carbon fibers in the composite.
The weight percentage of epoxy resin in the composite.
(b)
Answer to Problem 41AAP
The weight percentage of carbon fibers in the composite is
The weight percentage of epoxy resin in the composite is
Explanation of Solution
Write the expression to calculate mass of carbon fiber in the composite
Here, density of carbon fiber is
Write the expression to calculate mass of epoxy resin in the composite
Here, density of epoxy resin is
Write the expression to calculate total mass of the composite
Here, density of epoxy resin is
Write the expression to calculate weight percentage of carbon fiber in the composite
Write the expression to calculate weight percentage of epoxy resin in the composite
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the weight percentage of carbon fibers in the composite is
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Chapter 12 Solutions
Foundations of Materials Science and Engineering
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