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Abstract
This paper evaluates the theoretical results of various authors who developed different methods to obtain a simple formula for the period of a simple pendulum's vibration, using experimental data obtained in a physics laboratory. The agreement between the theoretical formulas and the experimental results was well observed. The data acquisition process was based on the accuracy of the optical sensor and protractor, with an error margin of up to 0.1%. Theoretical results were derived through a series of simplifications established at specific intervals, while experimental results determined the accuracy and the applicable range of the formula. The measuring angle ranged from 0 to 85 degrees, in which the pendulum exhibited circular motion. Upon comparing the experimental results with theoretical findings, it was observed that the approximations proposed by Hitt and Carvalhaes & Suppes were more consistent than other approximations and can be accepted as a simple formula for the period of pendulum vibrations at large angles.
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References
- R. Serway and J. Jewett Jr., Physics for Scientists and Engineers with modern physics, 10 ed., CENGAG, 2019.
- G. R. Fowles and G. L. Cassiday, Analytical Mechanics, 7 ed., Brooks/ cole (Thomson), 2005.
- R. Nelson and M. Olsson, "The Pendolum-Rich Physics From a Simple System," AmJPh, vol. 54, no. 2, 1986.
- D. Amrani, P. Paradis and M. Beadin, "Approximation Expression For The Large-Angle Priod Of a Simple Pendolume Revisited," REVESTA MEXICANA DE FISICA, vol. 54, no. 1, 2008.
- M. Molina, "Simple Linearization of The Simple Pendulum For Any Amplitode," Phys.Teach, vol. 35, no. 1, 1997.
- R. Kidd and S. Fogg, "A Simple Formula For The Large-Angle Pendulum Period," Phys. Teach., vol. 40, no. 1, 2002.
- R. Parwani, "an Approximation Expression For The Large Angle Period of A Simple Pendulum," Eur.J.Phys., vol. 25, no. 1, 2004.
- F. Lima and P. Arun, "An Accurate Formula For The Period of a Simple Pendulum Oscillating Beyond The Small Angle Regime," AmJPh, vol. 74, no. 10, 2006.
- P. Amore, M. Valdovinos, G. Ornelas and S. Barajas, "The Nonlinear Pendulum Formulas For The Large Amplitude Period," REVISTA MEXICANA DE FISICA, vol. 53, no. 1, 2007.
- A. Belendez, E. Arribas, M. Ortunoa, S. Gallegoa, A. Marquez and I. Pascual, "Approximate Solutios for the Nonlinear Pendulum Equation Using a Rational Harmonic Representation," Eur.J.Phys., vol. 64, no. 1, 2012.
- A. Belendez, J. Rodes, T. Belendez and A. Hernandez, "Approximation For a Large - Angle Simple Pendulum Period," Eur.J.Phys., vol. 30, no. 1, 2009.
References
R. Serway and J. Jewett Jr., Physics for Scientists and Engineers with modern physics, 10 ed., CENGAG, 2019.
G. R. Fowles and G. L. Cassiday, Analytical Mechanics, 7 ed., Brooks/ cole (Thomson), 2005.
R. Nelson and M. Olsson, "The Pendolum-Rich Physics From a Simple System," AmJPh, vol. 54, no. 2, 1986.
D. Amrani, P. Paradis and M. Beadin, "Approximation Expression For The Large-Angle Priod Of a Simple Pendolume Revisited," REVESTA MEXICANA DE FISICA, vol. 54, no. 1, 2008.
M. Molina, "Simple Linearization of The Simple Pendulum For Any Amplitode," Phys.Teach, vol. 35, no. 1, 1997.
R. Kidd and S. Fogg, "A Simple Formula For The Large-Angle Pendulum Period," Phys. Teach., vol. 40, no. 1, 2002.
R. Parwani, "an Approximation Expression For The Large Angle Period of A Simple Pendulum," Eur.J.Phys., vol. 25, no. 1, 2004.
F. Lima and P. Arun, "An Accurate Formula For The Period of a Simple Pendulum Oscillating Beyond The Small Angle Regime," AmJPh, vol. 74, no. 10, 2006.
P. Amore, M. Valdovinos, G. Ornelas and S. Barajas, "The Nonlinear Pendulum Formulas For The Large Amplitude Period," REVISTA MEXICANA DE FISICA, vol. 53, no. 1, 2007.
A. Belendez, E. Arribas, M. Ortunoa, S. Gallegoa, A. Marquez and I. Pascual, "Approximate Solutios for the Nonlinear Pendulum Equation Using a Rational Harmonic Representation," Eur.J.Phys., vol. 64, no. 1, 2012.
A. Belendez, J. Rodes, T. Belendez and A. Hernandez, "Approximation For a Large - Angle Simple Pendulum Period," Eur.J.Phys., vol. 30, no. 1, 2009.