A copper wire of diameter 2 mm is 10 m long and stretched

Chapter 3, Problem 201HP

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QUESTION:

Problem 201HP

A copper wire of diameter 2 mm is 10 m long and stretched out between two posts. The normal stress (pressure), σ =E(L – L0)/L0, depends on the length, L, versus the un stretched length, L0, and Young’s modulus, E = 1.1 × 106 kPa. The force is F =  and is measured to be 110 N. How much longer is the wire, and how much work was put in?

Questions & Answers

QUESTION:

Problem 201HP

A copper wire of diameter 2 mm is 10 m long and stretched out between two posts. The normal stress (pressure), σ =E(L – L0)/L0, depends on the length, L, versus the un stretched length, L0, and Young’s modulus, E = 1.1 × 106 kPa. The force is F =  and is measured to be 110 N. How much longer is the wire, and how much work was put in?

ANSWER:

Solution 201Hp

Step 1 of 4

Here we to calculate the extension and work done on the copper wire when it is stretched.

Given,

Diameter,

Original Length,

Young’s modulus,

Force,

Given force relation,

Stress,

To find,

Extension,

Work done,

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