Abstract

The purpose of this research is to show that Foaucault pendulum as well as other Coriolis effects, which are normally studied in a rotating coordinate system, can also be analyzed in a fixed reference frame. To this end, Foucault pendulum and other Coriolis effects are studied in inertial reference frames. The approach is simple, yet rigorous, and the results are exactly the same as those obtained in non-inertial reference frames but without resorting to some of the assumptions that are needed in rotating coordinate systems.

Highlights

  • One of the fascinating devices exhibited in many science museums around the world is Foucault pendulum

  • The purpose of this research is to show that Foaucault pendulum as well as other Coriolis effects, which are normally studied in a rotating coordinate system, can be analyzed in a fixed reference frame

  • Foucault pendulum and other Coriolis effects are studied in inertial reference frames

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Summary

Introduction

One of the fascinating devices exhibited in many science museums around the world is Foucault pendulum. The pendulum was invented in 1851 by French physicist Jean-Bernard-Lon Foucault (1819-1868), who was educated for medical profession but his interests turned to experimental physics [1] Foucault devised his pendulum to provide an experimental proof for the rotation of Earth about its axis. P. Mohazzabi til the concept of Coriolis force in a rotating coordinate system is introduced in more advanced courses in classical mechanics [5] [6] [7] [8]. Mohazzabi til the concept of Coriolis force in a rotating coordinate system is introduced in more advanced courses in classical mechanics [5] [6] [7] [8] This treatment is elegant and quite sound. After a brief description of Foucault pendulum as well as other Coriolis effects in a rotating coordinate system, a simple yet rigorous description of these effects in an inertial system is presented

The Foucault Pendulum
Lateral Deflections of a Projectile Near the Earth’s Surface
Lateral Deflections of a Horizontally Moving Projectile
Lateral Deflections of a Vertically Moving Projectile
Conclusion

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