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Investigation to show how Elastic Bands Behave Under Load.

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Introduction

Investigation to show how Elastic Bands Behave Under Load Prediction The aim of the investigation is to determine how elastic bands behave under load. Before I begin the investigation I will carry out a preliminary experiment into the behaviour of a spring, which I believe will not act in the same way as the elastic band. In the preliminary investigation a spring was put under load and the results were as follows: Load/g Length/cm Extension/cm 0 2.2 0 100 11.0 8.8 200 13.1 10.9 300 15.3 13.1 400 17.2 15.0 500 21.1 18.9 600 24.6 22.4 700 29.0 26.8 800 34.3 32.1 900 88.5 36.3 1000 42.0 39.8 1100 46.6 44.4 1200 1300 1400 From previous knowledge of Hooke's Law, which explains, extension is proportional to load until elastic limit is reached. The preliminary experiment with the spring shows, that they obey Hooke's Law up until the point of permanent deformation (elastic limit). I think that the thinner rubber band will have a bigger extension than the thicker band and the longer band will have bigger extension than the shorter band. I think the longer rubber band will have the biggest extension because the molecules within the rubber band are larger and are less intertwined and the molecules are therefore stretched further causing it to have a greater extension. Although the band is stretched the rubber band does not obey Hooke's Law. The elastic band will regain its initial shape and it behaves elastically.

Middle

Load/g Length/cm Extension/cm 0 15.2 0 100 25.3 10.1 200 42.4 27.2 300 60.6 45.4 400 72.1 56.9 500 77.6 62.4 600 83.7 68.5 700 86.4 71.2 800 89.1 73.9 900 89.9 74.7 1000 94.4 79.2 Changing the width, keeping length the same. 1.) Thicker Band Length = 6.7 cm Width = 1 mm Load/g Length/cm Extension/cm 0 6.7 0 100 10.5 3.8 200 12.9 6.2 300 15.7 9.0 400 19.6 12.9 500 23.8 17.1 600 29.1 22.4 700 32.2 25.5 800 35.9 29.2 900 38.5 31.8 1000 43.0 36.3 We repeated our results on this band. Load/g Length/cm Extension/cm 0 7.8 0 100 11.1 3.3 200 12.7 4.9 300 14.8 7.0 400 20.3 12.5 500 23.9 16.1 600 29.5 21.7 700 34.1 26.3 800 37.5 29.7 900 40.3 32.5 1000 42.4 34.6 2.) Thinner Band Length = 6.5cm Width = 0.5 mm Load/g Length/cm Extension/cm 0 6.5 0 100 14.8 8.3 200 26.3 19.8 300 35.3 28.8 400 41.7 35.2 500 45.9 39.4 600 49.0 42.5 700 51.1 44.6 800 53.6 47.1 900 54.3 47.8 1000 55.6 49.1 We repeated our results on this band. Load/g Length/cm Extension/cm 0 8.8 0 100 14.4 5.6 200 25.3 16.5 300 37.1 28.3 400 44.6 35.8 500 50.2 41.4 600 52.8 44.0 700 54.4 45.6 800 55.6 46.8 900 57.3 48.5 1000 59.4 50.6 Analysis From my results I have found that the longer band stretches further than the shorter band and the thinner band stretches further than the thicker band.

Conclusion

These problems could be overcome by clamping the ruler by the elastic band, so that all the results would be the same. This would stop any anomalous results, when reading the length and make sure that that they are read at eyelevel and checked before you record them. Also using more detailed equipment so that the results could be more reliable. The conclusions I have made are true for all elastic bands I measured. I would have to experiment further with different elastic bands to prove that my conclusions were true. I couldn't say for sure what would happen to other elastic bands of different lengths and widths, as it would have to be investigated further. I also could measure an elastic band to a certain length or width to see if my conclusions are true. If I were to do the experiment again I would look at other materials to stretch such as copper, steel, rubber etc to see if any other materials obey Hooke's Law. I could again look at different lengths and widths of other elastic bands. I would also use accurate measuring equipment so that no errors occur and good, clear accurate results are obtained. The good results would present a clear idea of how elastic bands behave under load. Further experiments could be carried out, using different equipment to see if my conclusions are true that elastic bands do not obey Hooke's Law.

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