Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates

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dc.contributor.authorGiacometti, José A. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-07-14T10:50:17Z
dc.date.available2021-07-14T10:50:17Z
dc.date.issued2021-02-03
dc.description.abstractA review on the Foucault pendulum motion is presented using Cartesian coordinates for the ideal case and for small amplitude of oscillations. The choice of referential frames, the formulation and solution of Newton’s differential equation for the non-inertial frame of the Earth and the validity of the approximations used to simplify the determination of the solution are given. Using the angular position of the trajectory cusps, a new method to determine the precession angular velocity of the Foucault pendulum is shown. The pendulum bob trajectories and velocities for the referential frame in rotation with the Earth as well as for the inertial frame are given and the Chevilliet theorem was demonstrated. In addition, the pendulum bob trajectories are shown when an initial velocity is impinged in the direction perpendicular to the pendulum oscillation plane.en
dc.description.affiliationUniversidade de São Paulo, Instituto de Física de São Carlos
dc.description.affiliationUniversidade Estadual Paulista, Faculdade de Ciências e Tecnologia
dc.description.affiliationUnespUniversidade Estadual Paulista, Faculdade de Ciências e Tecnologia
dc.format.extent-
dc.identifierhttp://dx.doi.org/10.1590/1806-9126-RBEF-2019-0140
dc.identifier.citationRevista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.
dc.identifier.doi10.1590/1806-9126-RBEF-2019-0140
dc.identifier.fileS1806-11172021000100418.pdf
dc.identifier.issn1806-1117
dc.identifier.issn1806-9126
dc.identifier.scieloS1806-11172021000100418
dc.identifier.urihttp://hdl.handle.net/11449/213116
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.relation.ispartofRevista Brasileira de Ensino de Física
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
dc.subjectFoucault pendulumen
dc.subjectprecession velocityen
dc.titleFoucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinatesen
dc.typeArtigo
unesp.author.orcid0000-0003-2372-5509[1]

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Artigos - Física, Química e Biologia - FCT