Understanding Periodic Motion Square Graphs

In summary, the conversation is about conducting an experiment on periodic motion using a spring and a mass. The teacher wants the students to graph T^2 and mass instead of just graphing T. This is because a T^2-axis will result in a straight line, making it easier to find the slope and draw a best-fit line. This method also accounts for imperfect measurements. The student now understands the reasoning behind this method.
  • #1
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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  • #2
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!)
 
  • #3
thank you!
i understand it now :)
 

FAQ: Understanding Periodic Motion Square Graphs

What is periodic motion?

Periodic motion refers to any motion that repeats itself in a regular pattern over time. This can include back-and-forth, up-and-down, or circular movements.

How do you interpret a square graph for periodic motion?

A square graph for periodic motion shows the displacement (y-axis) versus time (x-axis) of an object. The horizontal lines on the graph represent the amplitude or maximum displacement, while the period is the time it takes for one complete cycle.

What is the relationship between the amplitude and period in periodic motion?

The amplitude and period of periodic motion are inversely proportional. This means that as the amplitude increases, the period decreases, and vice versa. In other words, the larger the amplitude, the shorter the period, and the smaller the amplitude, the longer the period.

How does the frequency of periodic motion relate to the period?

The frequency of periodic motion is the number of complete cycles that occur in one second. It is related to the period by the formula: frequency = 1 / period. This means that the higher the frequency, the shorter the period, and the lower the frequency, the longer the period.

Can a square graph represent non-periodic motion?

No, a square graph is specifically designed to represent periodic motion. Non-periodic motion, such as random or chaotic movements, cannot be accurately represented on a square graph as they do not follow a regular pattern.

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