Measurement and Graphing. Dependence of a Pendulum on length

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SUMMARY

The discussion focuses on the experiment to determine the relationship between the period of a pendulum (P) and its length (L), specifically verifying the equation P = C√(L/g), where C is the proportionality constant. The experiment utilized a timer, string, and a meter stick to collect data over six trials, measuring the time for 20 cycles and calculating average periods. Excel was employed to create a line of best fit for the collected data. The participant is currently addressing sources of error in their analysis, seeking clarity on how to assess the accuracy and precision of their measurements.

PREREQUISITES
  • Understanding of pendulum mechanics and the formula P = C√(L/g)
  • Familiarity with data collection methods and measurement techniques
  • Proficiency in using Excel for data analysis and graphing
  • Basic knowledge of error analysis in experimental physics
NEXT STEPS
  • Research the principles of pendulum motion and the derivation of the period formula
  • Learn about error analysis techniques in experimental physics
  • Explore advanced data visualization techniques in Excel
  • Investigate the impact of varying pendulum length on period measurements
USEFUL FOR

Students in physics, educators conducting experiments on pendulum motion, and anyone interested in understanding the relationship between physical quantities through measurement and data analysis.

DracoMalfoy
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For the experiment, we were to determine the relationship between two quantities through linearization after collecting measurements. To verify that P~L^1/2. and determine proportionality constant, C.

P=C√L/g= (Cg^-1/2)(L^1/2)

Materials used were a timer, string(The pendulum on length), and a meter stick. Excel was also used to construct a line of best fit for the data. The length of the Pendulum for six trials. For each trial, we measured 20 cycles in seconds and set average periods in seconds. What I am on now for my paper is sources of error. I'm not really sure what that means... This is all new for me.
 
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When it’s new and you have no preconceived notions is the best time to try and form your own ideas. You just made a bunch of measurements and came up with an answer. How are you going to speculate on how accurate and precise that number is? Take a shot.
 

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