For a circular motion period to length and mass question.

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SUMMARY

The discussion focuses on analyzing the relationship between the radius and period of circular motion in a lab setting. Participants attempted to transform a quartic graph into a linear format to better understand the relationship, specifically exploring the equation F = 2.34T, which indicates a non-linear correlation. The lab setup involved a glass tube, a string with a ball, and a mass, requiring precise measurements of the period while maintaining a specific radius. The conversation emphasizes the need for clear data presentation and analysis to derive accurate conclusions.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with graphing techniques and data analysis
  • Knowledge of centripetal force equations
  • Experience with lab equipment and experimental design
NEXT STEPS
  • Research methods for linearizing quartic graphs
  • Learn about centripetal force and its relationship with period
  • Explore data analysis software for graphing
  • Investigate common sources of error in physics experiments
USEFUL FOR

Students conducting physics experiments, educators teaching circular motion concepts, and anyone involved in analyzing experimental data related to motion and forces.

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Homework Statement


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We are given a graph, with the information of the period, and the radius of the string. We amassed this data on our own. The graphing of it is quartic, but we have to make it into a linear graph?

Homework Equations



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The Attempt at a Solution


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First we tried to log both sides of the graph, the x and the y. When that didn't work, we started thinking about putting everything to the power of 4. We don't know if this will work. Does anyone know how to deal with this?
 
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Without a sketch of your setup, the data you want to analyze and an explanation what you want to find out it is hard to help.
 
The lab:
Circular Motion Lab

Determine the relationship (actual equation) that relates:

  1. Radius and period
  2. Centripetal force and period
i.e. F = 2.34T (real relation is not linear)

Expectations

  1. Observations
    1. Quantitative (table with title) and qualitative
    2. enough treatments – need 7 or more points on each graph
  2. Analysis
    1. FBD’s
    2. Graphs (title) (make it linear – use software)
    3. Derivation of relationship
  3. Conclusion
    1. Discussion of all possible sources of error
    2. Judge the accuracy of your results
So, we had a glass tube. Through the tube there was a string, with a ball on one end, an alligator clip determining radius, and a mass on the other end.

We had to spin the string with the ball on it at the right speed so that the alligator clip was 1 cm from the glass tube, and measure the period.

Now we're trying to solve the lab.
 

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