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Circular Motion Practical - The graphs show that there is a positive correlation between force applied and speed of rotation, as well as a positive correlation between radius and speed.

Extracts from this document...

Introduction

Recording Raw Data

Test 1 (testing the variation of force with speed of the body) mass of the object being constant 0.0152±0.0001kg, radius constant 0.15±0.005m

Force(±0.00098N)

0.295

0.490

0.675

0.881

1.08

1.27

1.46

Time(±0.01s)

Trial 1

4.78

3.94

3.66

2.87

2.94

2.69

2.34

Time(±0.01s)

Trial 2

4.84

3.91

3.56

3.10

2.91

2.56

2.42

Time(±0.01s)

Trial 3

5.03

4.00

3.38

3.13

2.69

2.53

2.42

Time(±0.01s)

Trial 4

4.84

4.06

3.22

3.34

2.84

2.56

2.65

Time(±0.01s)

Trial 5

4.90

4.25

3.57

3.24

2.79

2.75

2.77

Average Time(s)

4.87±0.09

4.03±0.12

3.48±0.22

3.14±0.27

2.83±0.12

2.62±0.13

2.52±0.25

Note--- the uncertainties of the average times are inconsistent as they are derived from calculations.

    ---all times are recording for 10 rotations.

Test 2 (

...read more.

Middle

2.69

2.78

3.43

3.84

4.26

4.56

5.16

Time(±0.01s)

Trial 3

2.78

3.21

3.31

4.02

4.13

4.28

4.87

Time(±0.01s)

Trial 4

2.45

3.00

3.63

3.37

4.53

4.62

4.91

Time(±0.01s)

Trial 5

2.52

2.86

3.52

3.73

4.55

4.44

5.12

Average Time(s)

2.56±0.22

2.91±0.30

3.45±0.18

3.53±0.84

4.39±0.26

4.46±0.18

4.93±0.34

Note---the uncertainties of the average times are inconsistent as they are derived from calculations.

    ---all times are recording for 10 rotations.


Data Processing

Results after calculations for test 1 when mass of the object being constant 0.0152±0.0001kg, radius constant 0.15±0.005m

Force(±0.00098N)

0.295

0.490

0.675

0.881

1.08

1.27

1.46

Speed

1.9±0.10

2.3±0.15

2.7±0.26

3.0±0.36

3.3±0.25

3.6±0.30

3.7±0.50

Example of calculation using data in column 1:


...read more.

Conclusion

The second major weakness in this experiment is the human reflex problem, which causes the result to deviate away from the true value. A practical solution would be to increase the radius of rotation and the mass object. Why? As we see from above sections, the reaction time has a larger effect well the time frame is smaller. By increase the radius and mass, the time in which the object travels is lengthened, and thus minimus the effect of human reflex in the data.

There is another minor problem with the stop watch, we have pre-knowledge of the result of the experiment (ie, in test 1 I know according the Newton’s second law, the time should decrease). This would tend to make the experimenter to manipulate the results, and unconsciously press the stop button faster, thus making the measurements fairly inaccurate. This problem is hard to solve and the only solution is to have an electric sensor.

The small range of data is also a minor problem in this experiment, especially at the timing aspect. 3.24s and 3.64 is so small that humans don’t actually feel the difference, thus making the measurements very inaccurate, and thus it is advisable to increase the range of the data.

...read more.

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