Physics Pendulum

Physics 11 IB The Simple Pendulum
Rajesh Swaminathan
June 18, 2006
1 Aim
To investigate the effect of a simple pendulum and to derive a value for g,
the quickening cod to gravity.
2 Planning
2.1 Hypothesis
By using other methods to run across 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 sightly number of measurements of
the period T for 6 to 8 diverse lengths.
2. Verify the equation of the pendulum T = 2
q
L
g by instrument of the graph
of T2 vs L and determine the value of g from the graph.
1
3 information Collection
Length (m) flowing (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 disposed 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 squ are of the period of the pendulum T2 are directly
proportional, we were able to determine g by calculating the position of the
T2 vs L graph. From our calculations, this value turned out to be 10.3m/s2,
fleck 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 beat the length of the pendulum
L.
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