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Cited by 23Experimental and Theoretical Physics StudiesDynamics and Control of Mechanical SystemsRelativity and Gravitational Theory

The precession of a Foucault pendulum viewed as a beat phenomenon of a conical pendulum subject to a Coriolis force

Opat, Geoffrey I.·1991·American Journal of Physics
DOI 10.1119/1.16729
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Abstract

A conical pendulum has slightly different frequencies of vibration when it rotates clockwise or anticlockwise in a laboratory on a rotating Earth. This splitting of the frequency is due to the presence of the Lorentzlike Coriolis force which presses either radially inward or outward on the pendulum bob depending on the sense with which it traverses its circular orbit. The precession of the plane of a Foucault pendulum may be viewed as a beat phenomenon in the planar superposition of the clockwise and anticlockwise circular motions of the conical pendulum.

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  • The spin-orbit Lagrangian can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω.

    “At the same time, Eq. (3.14) shows that it can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω [68 -80].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [68]

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Authors
Opat, G. I.
Affiliations
The University of Melbourne (AU)
Corresponding author
Opat, Geoffrey I.
Venue
American Journal of Physics
Publisher
American Association of Physics Teachers (AAPT)
Published
1991-09-01
Volume
59
Issue
9
Pages
822-823
ISSN
  • 0002-9505 (ISSN-L)
  • 1943-2909
DOI
10.1119/1.16729
OpenAlex
W2046990906
Cited by
23
References
0
Citations by year
2025: 3 · 2022: 1 · 2021: 1 · 2019: 2 · 2017: 1 · 2016: 1 · 2015: 3 · 2012: 1
FWCI
0.00
Type
journal article
Language
en
Open access
closed
Locations
American Journal of Physics (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Experimental and Theoretical Physics Studies
  • Physical Sciences › Engineering › Control and Systems Engineering › Dynamics and Control of Mechanical Systems
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
Foucault pendulum, conical pendulum, Coriolis force, beats, rotating Earth, frequency splitting, circular motion

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