Uncertainties of a group of results

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SUMMARY

The discussion centers on calculating uncertainty in measurements for a simple pendulum experiment involving lengths from 0.20m to 0.27m and time for 10 oscillations (10T). The user calculated an uncertainty of 6.77% for T but encountered a significantly higher uncertainty of 45.89% for T². The user seeks clarification on whether to report uncertainty based on the average of 10T instead of T, highlighting the complexities of error propagation in physics experiments.

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  • Learn how to calculate uncertainties for averages and derived quantities
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Tangeton
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I got a table for a simple pendulum. I have 8 lengths, from 0.20m going up by 0.01 to 0.27. For each length, I have time for 10 oscillations (10T) that I've measured, and I have repeated the measurement twice for each length. Then I got the average time for 10T. I divided this average to give me an average for time period of one oscillation, T. I've plotted a graph of T2 against L, and so I also worked out T2 for each lengths' period time, T.

I am stuck on the uncertainty. I have tired tried to work it out but when I do it for T I get 6.77%, and I do it for the spread of my results for T, but when I rise it to the power of 2 to get T2 its 45.89%. I can't have such a huge uncertainty. And also I am worried because it is uncertainty in measurement but I can firmly say that I didn't measure T but 10T, and so should I do the uncertainty for average 10T instead?

What uncertainty would be the best to put down on my write up?

I'm an A Level physics student.

Thank you for all your help!
 
Physics news on Phys.org
No way one can untangle this. 46 is the square of 6.8, but that's not the way errors propagate!
Show your work.
 

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