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# AS OCR B (Advancing Physics) - Data Handling

Extracts from this document...

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

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.

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
= 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:

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.

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

MPa

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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