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Measurement of Young Modulus

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Measurement of the Young modules

Aim:

The aim of this experiment is to measure the Young modules of copper wire.

Method:

  • Clamp the copper wire across the bench using the G clamp and the wooden blocks.
  • Pull the wire until it is straight enough and put a standard weight to the lower end.
  • Use the blue tag to act as a marker for the convenience of the measurement.
  • Make sure the two ends are fully clamped between the blocks.
  • Measure the length of the wire(L) from the clamped beginning to the end and the diameter of the wire using the micrometer.
  • Increase the weight in small steps
  • Record the position that the blue tag moved(L) after each weight is added.
  • Record the weight(m) when the wire extended.
  • Keeping adding the weight until the wire broke and record the breaking point.
  • Repeat the experiment for 3 times.
  • Area of the wire is calculated by A=(0.5*d)^2
  • The force of the weight(F) needed to be calculated by the formulae F=mg.
  • Strain and stress of the wire need to be obtained by using the formula strain=L/L, stress=F/A
  • Results were recorded in the results table.
  • Plot a graph of stress against strain.
  • Calculate the Young modules(E) from the gradient of the graph.

Result:

Length:2020mm

Area:2.34*10^—3

Mass

/g

Force

/N

Extension

/mm

Strain

Stress

/Pa

150

1.47

1

4.95*10^—4

628.21

250

2.45

2

9.9*10^—4

1047.01

350

3.43

4

1.98*10^—3

1465.81

700

6.86

5

2.48*10^—3

2931.62

900

8.82

6

2.97*10^—3

3769.23

1100

10.78

7.5

3.71*10^—3

4606.84

1300

12.74

10

4.95*10^—3

5444.44

1500

14.7

15

7.43*10^—3

6282.05

1750

16.66

43

2.13*10^—2

7119.66

Observation:

  • It is difficult to record the position of the wire.
  • The size of the wire makes it harder to measure.

Conclusion:

Our value for young’s module is 1.04*10^10

Evaluation:

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