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

D. Amrani; P. Paradis; M. Beaudin

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

D. Amrani
, P. Paradis
, M. Beaudin

École de technologie supérieure

Résultats de recherche: Contribution à un journal › Article publié dans une revue, révisé par les pairs › Revue par des pairs

14 Citations (Scopus)

Résumé

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° ≤ θ ≤ 180°. 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.

langue originale	Anglais
Pages (de - à)	59-64
Nombre de pages	6
journal	Revista Mexicana de Fisica E
Volume	54
Numéro de publication	1
état	Publié - juin 2008

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Contient cette citation

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AU - Paradis, P.

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N2 - 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° ≤ θ ≤ 180°. 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.

AB - 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° ≤ θ ≤ 180°. 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.

KW - Approximation expressions

KW - Exact period

KW - Laboratory experiment

KW - Large amplitude

KW - Linearization

KW - Simple pendulum

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