Manipulating Data to Create a Linear Graph for Circular Motion Experiment

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SUMMARY

The discussion focuses on manipulating experimental data from a circular motion experiment to achieve a linear graph representation of Applied Force versus Period. The participants explored various plotting methods, including Force versus Time squared (F vs T²) and Force versus inverse Time (F vs 1/T), but the requirement is to maintain the relationship as Applied Force versus Period. The relevant equations include centripetal force (Fc = ma = mv²/R) and velocity (v = 2πf = 2π/T), which are crucial for understanding the relationships involved.

PREREQUISITES
  • Understanding of centripetal force and its formula (Fc = ma = mv²/R)
  • Knowledge of periodic motion and its relationship to frequency and period (v = 2πf = 2π/T)
  • Familiarity with graphing techniques and data manipulation in experimental physics
  • Basic skills in algebra for rearranging equations and interpreting graphical data
NEXT STEPS
  • Research methods for linearizing data in physics experiments
  • Explore the concept of dimensional analysis in relation to force and period
  • Learn about graphical analysis techniques for experimental data
  • Investigate the use of software tools for data plotting and manipulation, such as Excel or Python's Matplotlib
USEFUL FOR

Students and educators in physics, experimental researchers, and anyone involved in data analysis and graphical representation of physical phenomena.

tonogai40
we recently did an experiment where we spun a stopper which was connected to a string and held stoppers on the other end of the string. we then found the centripital force and period of revolution.

using that data we plotted a graph which resulted in a parabolic graph. my question is that i need to manipulate that data so the graph becomes linear.

ive tried plotting F vs T^2 and things like F vs 1/T. The only restriction is that the graph has to be Applied Force vs Period.

any help would be greatly appreciated
 
Physics news on Phys.org
Fc = ma = mv^2/R

v = 2 * pi * f = 2pi*T^-1

Fc = 4pi^2 * m/RT
 

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