Answer: A metal wire 3.50 m long and 0.70 mm in diameter

Chapter 11, Problem 90P

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Problem 90P

A metal wire 3.50 m long and 0.70 mm in diameter was given the following test. A load weighing 20 N was originally hung from the wire to keep it taut. The position of the lower end of the wire was read on a scale as load was added.

Added Load (N)

Scale Reading (cm)

0

3.02

10

3.07

20

3.12

30

3.17

40

3.22

50

3.27

60

3.32

70

4.27

(a) Graph these values, plotting the increase in length horizontally and the added load vertically. (b) Calculate the value of Young’s modulus. (c) The proportional limit occured at a scale reading of 3.34 cm. What was the stress at this point?

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