Pendulum Experiment - time period and length of string

[physics-chris]

Homework Statement

Hi, in class we done the classic pendulum experiment to investigate the relationship between time period and the length of the string. Here are my averages for time period and the length:
Length (m)----Average time (T1+T2/2)
0.2 11.3
0.4 14.9
0.6 17.41
0.8 19.98
1 23.71

The Attempt at a Solution

Having drawn the graph of Time against Length and getting a strong postive correlation, I was expecting time squared to produce a curved graph. However, it is coming out as a stretched "s" shape, all be it a very faint one, so it isn't far off from being straight. Should this be the case? And also, do I need both graphs together to demonstrate Time being proportional to Length, or, will either one be sufficient?

Thanks

 

[rock.freak667]

Try plotting T² vs l or T vs√l

 

[tomcue]

I would say that your experiment shows a clear relationship between time period and the length of the string. Your data points show a strong positive correlation, indicating that as the length of the string increases, the time period also increases. The fact that your graph of time against length produces a "stretched s" shape suggests that there may be some other factors at play, such as air resistance or friction, that are affecting the results. It would be beneficial to repeat the experiment with different lengths and see if the same relationship holds true.

In terms of demonstrating the relationship between time and length, either graph could be used. However, having both graphs together would provide a more comprehensive understanding of the relationship and could potentially reveal any discrepancies or anomalies in the data. Overall, your experiment and results seem to support the idea that time is proportional to the length of the string in a pendulum system.