Concept explainers
Consider a model steel bridge that is
a. If the model bridge weighs 50 N, what will the real bridge weigh?
b. If the model bridge doesn’t appear to sag under its own weight, is this evidence that the real bridge, built exactly to scale; will not appear to sag either? Explain.
(a)
The real weight of the bridge.
Answer to Problem 30A
The real weight of the bridge is
Explanation of Solution
Given:
The model steel bridge is
The weight of the model bridge is
Formula used:
Where,
n is the factor.
Calculation:
The real weight of the bridge using the relation is,
Conclusion:
Thus, the real weight of the bridge is
(b)
To identify:Whether it is evident that the real bridge that is built exactly to scale will not appear to sag from the given information.
Answer to Problem 30A
The real bridge will not appear to sag either.
Explanation of Solution
Introduction:
Scaling is the study of how size affects the relation between weight, strength, and surface area.
The proportions of things in nature are in accord with their size.
From part (a), the real weight of the bridge is
The weight of the bridge is increased to
The model steel bridge is
Conclusion:
Thus, the real bridge will not appear to sag either.
Chapter 18 Solutions
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