Lab Report Determination of gravity

Determination of g by Free Fall

Raw Data:

Time (ms) ± 0.01ms
Height of release of ball from the sensor plate (cm) ±0.1cm

Trial 1

Trial 2

Trial 3

Trial 4

Trial 5
0.0
0.00
0.00
0.00
0.00
0.00
15.0
180.05
179.36
178.74
180.26
180.23
30.0
244.33
244.21
244.71
243.88
245.87
45.0
300.72
301.29
300.59
301.43
301.70
60.0
348.68
348.39
348.77
349.12
348.35
75.0
390.27
390.77
389.58
391.19
390.43
This table below is the results obtained during the experiment in cm/ms.
This table below is the results obtained during the experiment in m/s.

Time (s) ± 0.00001s
Height of release of ball from the sensor plate (m) ±0.001m

Trial 1

Trial 2

Trial 3

Trial 4

Trial 5
0.000
0.00000
0.00000
0.00000
0.00000
0.00000
0.150
0.18005
0.17936
0.17874
0.18026
0.18023
0.300
0.24433
0.24421
0.24471
0.24388
0.24587
0.450
0.30072
0.30129
0.30059
0.30143
0.30170
0.600
0.34868
0.34839
0.34877
0.34912
0.34835
0.750
0.39027
0.39077
0.38958
0.39119
0.39043

Absolute Uncertainty Height:

= 2 x half the limit of reading
= 2 x 0.5 x 0.001m
= 0.001m

Absolute Uncertainty for time:

= 2 x half the limit of reading of timer
= 2 x 0.5 x 0.00001s
= 0.00001s

Processed Data:

Averages:

Average time, sample calculation for 30cm:

= (0.2443 + 0.2442 + 0.2447 + 0.2439 + 0.2459) / 5
= 1.226/5
= 0.24460s

Height of release of ball from the sensor plate (h) /m
±0.001m
Average time taken to hit the detector plate from release (t) / s
Deviation of the average from the maximum data value (t) / s
Deviation of the average from the minimum data value (t) / s
Maximum deviation of the average from the data values (t) / s

Systematic error (t) / s

Absolute Uncertainty (t) / s
(Random error +systematic error)
0.000
0.00000
0.0
0.0
0.0
0.00001
0.00001
0.150
0.180
0.00053
0.00099
0.00099
0.00001
0.001
0.300
0.245
0.00127
0.00072
0.00127
0.00001
0.002
0.450
0.3012
0.00055
0.00056
0.00056
0.00001
0.0006
0.600
0.3487
0.00046
0.00031
0.00046
0.00001
0.0005
0.750