Solved: A metal wire of diameter D stretches by 0.100 mm

Chapter 11, Problem 21DQ

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QUESTION:

Problem 21DQ

A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire is used to support a weight three times as heavy, what would its diameter have to be (in terms of D) so it still stretches only 0.100 mm?

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QUESTION:

Problem 21DQ

A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire is used to support a weight three times as heavy, what would its diameter have to be (in terms of D) so it still stretches only 0.100 mm?

ANSWER:

Solution 21DQ

Step 1:

        Initial diameter of the wire = D or 2R

        Area of the wire A = or

        Force applied by the weight F  = W

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