Approximation expressions for the large-angle period of a simple pendulum revisited

Authors

  • D. Amrani
  • P. Paradis
  • M. Beaudin

Keywords:

Large amplitude, simple pendulum, approximation expressions, exact period, linearization, laboratory experiment

Abstract

This paper presents the experimental accuracy performance of each of the approximation expressions relative to the exact period for large amplitudes of a simple pendulum in the interval 0$^\circ$ $ \le \theta \le $ 180$^\circ$. The plots of the linearized exact period as a function of linearized formulae were carried out and relative errors in these expressions were investigated. In addition, this paper gives a clear idea how each formula approximates the exact period.

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Published

2008-01-01

How to Cite

[1]
D. Amrani, P. Paradis, and M. Beaudin, “Approximation expressions for the large-angle period of a simple pendulum revisited”, Rev. Mex. Fis. E, vol. 54, no. 1 Jan-Jun, pp. 59–64, Jan. 2008.

Issue

Vol. 54 No. 1 Jan-Jun (2008): Revista Mexicana de Física E

Section

Artículos

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