Estimate Decay Coefficient in Ae^-at Graph

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SUMMARY

The discussion focuses on estimating the decay coefficient in the equation Ae-at for a given graph representing damped oscillation. Participants emphasize the importance of identifying the equilibrium position and suggest using experimental data to calculate a mean value over all possible differences. The conversation confirms that the initial approach is valid for the first period of oscillation, providing a foundation for further analysis.

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  • Understanding of damped oscillation principles
  • Familiarity with exponential decay functions
  • Basic knowledge of graph interpretation
  • Experience with statistical mean calculations
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  • Research methods for calculating decay coefficients in exponential functions
  • Explore advanced techniques for analyzing damped oscillation data
  • Learn about statistical methods for averaging experimental data
  • Study graphing techniques for visualizing decay processes
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Students in physics or engineering, researchers analyzing oscillatory systems, and anyone involved in experimental data analysis related to decay processes.

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Homework Statement


How can I estimate the decay coefficient in Ae^-at for this graph
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I know the equilibrium position

Homework Equations


damped oscillation

The Attempt at a Solution



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not sure if this is right.[/B]
 

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This is right for the first 'period'.
If these are experimental data, you may take a mean value over all possible differences.
 
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