What is the Maximum Load a Copper Wire Can Support?

AI Thread Summary
The maximum load a copper wire can support is determined by its breaking stress, which is approximately 3.00×10^8 N/m², and its cross-sectional area derived from its diameter of 0.37 mm. To calculate the maximum load, one must use the formula for stress, which relates force to area. When 17 percent of this maximum load is applied, the resulting strain can be calculated using the relationship between load and elongation in the wire. The discussion emphasizes understanding the formulas for stress and strain in tension for accurate calculations. Proper application of these principles will yield the wire's maximum load capacity and its elongation under a given load.
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Homework Statement



(a) Copper has a breaking stress of about 3.00×108 N/m2. What is the maximum load that can be hung from a copper wire of diameter 0.37 mm?

(b) If 17 percent of this maximum load is hung from the copper wire, by what fraction of its original length will it stretch?

Homework Equations


The Attempt at a Solution



I know that this one is simple, I just can't find the correct formula to use. Anyone got any ideas?
 
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(a) They give you the diameter of the wire, so you have cross sectional area. You can also assume the wire is only in tension. Do you know how to calculate stress in a wire under tension?

(b) Given the load, can you find strain on this particular wire?
 

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