409 Words2 Pages

Physics 11 IB The Simple Pendulum
Rajesh Swaminathan
June 18, 2006
1 Aim
To investigate the motion of a simple pendulum and to derive a value for g, the acceleration due to gravity.
2 Planning
2.1 Hypothesis
By using other methods to determine the acceleration due to gravity g, the value of g should be close to 9.8 m/s2.
2.2 Procedure
1. Measure, record and average a reasonable number of measurements of the period T for 6 to 8 different lengths.
2. Verify the equation of the pendulum T = 2 q L g by means of the graph of T2 vs L and determine the value of g from the graph.
1
3 Data Collection
Length (m) Period (s)
1.954
1.00 1.959
1.955
1.879
0.91 1.888
1.880
1.747
0.80 1.754
1.765
1.759
0.82 1.757
1.761
1.653
0.72 1.645
1.641
1.501
0.60 1.506
1.504
Table 1: Data Collection
4 Data Analysis
See Table 2 and attached graph.
Slope = 3.826
1
= 3.826 m/s2
g = (2)2
3.826
= 10.3 m/s2
2
Length L(m) Period T(s) Average T T2
1.954
1.00 1.959 1.956 3.826
1.955
1.879
0.91 1.888 1.882 3.543
1.880
1.747
0.80 1.754 1.755 3.081
1.765
1.759
0.82 1.757 1.759 3.094
1.761
1.653
0.72 1.645 1.646 2.710
1.641
1.501
0.60 1.506 1.504 2.261
1.504
Table 2: Data Analysis
5 Evaluation
In this lab, we were able to estimate the value of the acceleration due to gravity g on Earth by means of a simple pendulum. Because the length of a pendulum L, and the square of the period of the pendulum T2 are directly proportional, we were able to determine g by calculating the slope of the
T2 vs L graph. From our calculations, this value turned out to be 10.3m/s2, while the accepted value for the acceleration is 9.8m/s2.
Percentage Difference = 10.3−9.8
9.8
= 5.10 %
There are a few reasons for the small error in our estimation:
1. There was some uncertainty in measuring the length of the pendulum
L.

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