For a circular motion period to length and mass question.

AI Thread Summary
The discussion centers on a lab experiment involving circular motion, where data on the period and radius of a string is collected to analyze their relationship. The participants initially attempted to log both axes of their quartic graph but found it ineffective, prompting them to consider raising values to the fourth power instead. They seek guidance on transforming their quartic data into a linear format for analysis. The lab aims to establish equations relating radius and period, as well as centripetal force and period, while emphasizing the need for sufficient data points and error analysis. The setup involves a glass tube, a string with a ball, and a mass, with the objective of measuring the period while maintaining a specific radius.
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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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