702 Words3 Pages

DCP: Circular Motion
Aim: To investigate the effect of the radius of the circle on the time taken for 10 complete revolutions.
Raw Data:
Radius of Circle/cm (±0.1cm) | Time taken for 10 complete revolutions/s (±0.01s) | Average | | Trial 1 | Trial 2 | Trial 3 | | 25.0 | 4.74 | 5.18 | 4.76 | 4.89 | 30.0 | 5.34 | 5.02 | 4.89 | 5.08 | 35.0 | 5.89 | 5.63 | 5.74 | 5.75 | 40.0 | 6.43 | 6.18 | 6.11 | 6.24 | 45.0 | 6.63 | 6.55 | 6.50 | 6.56 | 50.0 | 7.04 | 6.88 | 6.95 | 6.96 |
Figure 1
Calculations:
-To find the average I added the results of the three trials together and divided by three. (e.g.: (4.74+5.18+4.76)/3=4.89)
Processed Data:
Radius of a circle/cm (±0.1cm) | Time taken for 10 complete revolutions/s (±0.01s) | Average time taken for 10 complete revolutions/s | Value | % Uncertainty | Trial 1 | Trial 2 | Trial 3 | Average Value | Absolute Uncertainty | % Uncertainty | 25.0 | ±0.4% | 4.74 | 5.18 | 4.76 | 4.89 | ±0.29 | ±5.9% | 30.0 | ±0.3% | 5.34 | 5.02 | 4.89 | 5.08 | ±0.26 | ±5.1% | 35.0 | ±0.3% | 5.89 | 5.63 | 5.74 | 5.75 | ±0.14 | ±2.4% | 40.0 | ±0.3% | 6.43 | 6.18 | 6.11 | 6.24 | ±0.19 | ±3.0% | 45.0 | ±0.2% | 6.63 | 6.55 | 6.50 | 6.56 | ±0.07 | ±1.1% | 50.0 | ±0.2% | 7.04 | 6.88 | 6.95 | 6.96 | ±0.08 | ±1.2% |
Figure 2
Calculations:
- For the absolute uncertainty I obtained the result by finding the difference between the mean and the result furthest from it:
5.18(furthest point from mean)-4.89(mean)= 0.29
Absolute uncertainty = ±0.2cm
- For the percentage uncertainty I obtained the result by simply dividing the absolute uncertainty by the average and then multiplying by 100:
(4.89/0.29)x100=5.9
Percentage uncertainty= ±5.9%
Source of Uncertainties
Source of uncertainties came mainly from the errors in equipment. The ruler used for the measuring of the radius had an limit of reading of 0.1cm, so

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