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## Homework Statement

The aim of the experiment is to find out if the period of oscillation is proportional to the square root of the length of the pendulum.

We used 5 different lengths and got the average time for 1 oscillation for each length

These are the results:

Length=48cm, Time=1.33s

Length=43.5cm, Time=1.26s

Length=35cm, Time=1.15s

Length=25cm, Time=0.95

Length=15cm, Time=0.73

With this data I have drawn a graph with a straight line as we can tell period is proportional to length

Question:

Calculate the percentage of error and identify main sources of error.

## Homework Equations

T= 2∏√L/g

T= period

L= length

g= acceleration due to gravity

I am told 2∏/gradient should give me a result near to 9.81ms but my results are coming out with a massive error percentage.

my graph is drawn with x=√L and y=T

## The Attempt at a Solution

the gradient for my graph is 1.25s-0.25s / 6.5-1.6. which is 1 / 4.9 = 0.20

2∏ / 0.20 = 31.41

9.81-31.41 / 9.81 x 100 = 220% error?

surely this cannot be correct as the error percentage should be at maximum around 3%.

I must be doing a calculation wrong but i cannot figure out what, any help would be appreciated.

Thanks

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