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AS OCR B (Advancing Physics) - Data Handling

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Introduction

Physics Coursework
Data handling

The results I have been given are from a tensile strength experiment. In this experiment a piece of material; usually a wire would be hung with a varying weights attached to it and the amount by which its length increased would be measured.

I am told the extension of the material and the force applied for 19 pairs of results. I am also told that the diameter is 0.45mm and the original length is 2m

The results are as follows:

Force(N)

Extension(mm)

3

0.4

6

0.9

9

1

12

1.2

15

1.6

18

1.8

21

2

24

2.1

27

2.6

30

2.8

33

3

36

3.1

39

3.3

42

3.5

45

3.8

48

4.1

51

4.1

54

4.4

57

4.8

image07.png

The graph above shows how extension changes with increasing force. It shows what is expected; the extension increases when the force is increased. However this relationship is not directly proportional and the rate at which extension changes varies.

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Middle

I already know the force but the area is the cross sectional area of the wire, which has a diameter of 0.45mm. I need to work this out in metres which is 0.00045m.
The area of a circle is         = πr
2                 where r is radius
                        =
image23.pngimage23.png2
                        = 1.59043128 × 10-7 m2

 The original length is two metres, and I will need to work out the extensions in metres also. These new values are shown below

Extension (mm)

Extension(m)

0.4

0.0004

0.9

0.0009

1

0.001

1.2

0.0012

1.6

0.0016

1.8

0.0018

2

0.002

2.1

0.0021

2.6

0.0026

2.8

0.0028

3

0.003

3.1

0.0031

3.3

0.0033

3.5

0.0035

3.8

0.0038

4.1

0.0041

4.1

0.0041

4.4

0.0044

4.8

0.0048

I will do the first two stress and strain calculations

Stress:

image20.png

image09.png

image10.pngimage10.png

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Conclusion

u is the ultimate strength of the material; the maximum stress a material can withstand before it undergoes buckling. Then at the point the graph stops is the breaking stress.

image16.png

The Young’s Modulus is a measure of stiffness and is calculated using the equation

image17.png

image18.png

image19.pngimage19.pngMPa

From the results I can conclude that the experiment did work however, the experiment appears to have not been taken through to completion as there is no curve on my stress-strain graph. There may also have been a few inaccuracies, but this could be solved by using less then 3N steps

        


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