Understanding Periodic Motion Square Graphs

AI Thread Summary
The discussion centers on an experiment involving periodic motion with a spring and mass, specifically focusing on graphing T^2 against mass instead of just T. The rationale behind this approach is that plotting T^2 allows for a linear relationship, simplifying the analysis compared to a parabolic graph. This method enables easier measurement of the slope, which is crucial for understanding the relationship between the variables. Participants clarify that using a T^2 axis helps in drawing a best-fit line rather than a more complex parabola. Overall, the explanation resolves the initial confusion about the graphing method.
kscribble
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I'm doing an experiment on periodic motion using a spring and a mass on the end.

My teacher wants us to graph T^2 and mass, but i don't understand we don't just graph T.

I hope someone understands what I mean :smile:
 
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Welcome to PF!

kscribble said:
I'm doing an experiment on periodic motion using a spring and a mass on the end.

My teacher wants us to graph T^2 and mass, but i don't understand we don't just graph T.

I hope someone understands what I mean :smile:

Welcome to PF! :smile:

I think your teacher means that instead of marking the t-axis 1,2,3,4,5,… at equal intervals, you mark 1,4,9,16,25,… at equal intervals.

The idea is that if you use an ordinary t-axis, you get a parabola, and you need to find the "parameter" for that parabola, which is tricky … :redface:

but with a t2-axis, you get a straight line, and all you have to do is to measure the slope of it! :smile:

(also, your measurements won't be perfect :wink:, and it's much easier to draw a best-fit line that a best-fit parabola!)
 
thank you!
i understand it now :)
 
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