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The Anglers Problem

Extracts from this document...

Introduction

The Anglers Problem

Aim

To use rubber bands to produce an accurate and reliable spring balance to weigh fish

caught by an Angler. We have to consider how reliable and sensitive the gauge will be.

Prediction

I predict that the greater the weight applied to the band, the further it will stretch. This is due to extension being proportional to load, and so if the load increases so does the extension and so does the stretching distance.

I believe that the best device would produce results to form a graph similar to the one below (line of best fit shown in red).

image00.png

I predict that the two bands in series will be the most sensitive device, due to its length. It will also be more stretchy (blue line). However its elastic limit will not be that high. The 2 bands in parallel will not be as sensitive but it will have a high elastic limit (green line). I believe that the 2 parallel connected to the one band will be a good device. It will be sensitive (due to its length) and it could cope with a heavy load due to the thickness of the top half. The two bands in parallel connected to the two bands in parallel will be both sensitive and strong. This would make the best device.

Hypothesis

Hookes Law states that if you apply force (f) to a spring, the spring will stretch by some length (x). Doubled force means double the stretch.

...read more.

Middle

16

16.0

50.5

42.0

18

16.0

53.5

45.0

20

16.0

56.5

48.0

Two bands in series

Weight applied to band (N)

Initial length of band (cm)

Length of band after weights applied (cm)

Extension of band (cm)

2

16.0

22.5

6.50

4

16.0

32.0

16.0

6

16.0

46.0

30.0

8

16.0

61.0

45.0

10

16.0

69.5

53.5

12

16.0

75.5

59.5

14

16.0

81.0

65.0

16

16.0

85.0

69.0

18

16.0

88.5

72.5

20

16.0

92.0

76.0

Two bands in parallel connected to two bands in parallel

Weight applied to band (N)

Initial length of band (cm)

Length of band after weights applied (cm)

Extension of band (cm)

2

16.0

19.0

3.00

4

16.0

22.0

6.00

6

16.0

26.5

10.5

8

16.0

32.5

16.5

10

16.0

40.0

24.0

12

16.0

46.5

30.5

14

16.0

55.5

39.5

16

16.0

60.0

44.0

18

16.0

68.0

52.0

20

16.0

76.0

60.0

Two bands in parallel connected to one band

Weight applied to band (N)

...read more.

Conclusion

We did, however, produce a device that the F=KX relationship applied to.

My prediction on the whole was correct and my experiment gave results which I was happy with. I would have liked to have repeated the experiment 2 more times and take an average to increase reliability of my results; however there was not enough time.

The doubling effect (described in Hooke’s law) was discovered by scientists with better facilities, techniques, and more time than we have, which is another reason why I did not get the doubling effect.

Given more time we could have improved our results by conducting the experiment more times, and trying different techniques.

I would have liked to conduct a Simple Harmonic Motion experiment which requires measurements of time over an oscillation of the band being acted on by different forces. This would allow me to see if my spring constant was accurate. My method of experimentation for simple harmonic motion would be to suspend the band as in the first experiment and place on the required weight. I would then stretch the band a further 15mm and then release the band and take a time measurement for an oscillation in the band. Only one test would be needed to find the spring constant but I would take 5 tests each with a different weight. There is a formula I could use to work out the spring constant with these results, and I could compare it with that of my Hookes Law experiment.

...read more.

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