publication . Preprint . Article . 2003

Effect of the spherical Earth on a simple pendulum

Lior M Burko;
Open Access English
  • Published: 13 Jan 2003
Abstract
We consider the period of a simple pendulum in the gravitational field of the spherical Earth. Effectively, gravity is enhanced compared with the often used flat Earth approximation, such that the period of the pendulum is shortened. We discuss the flat Earth approximation, and show when the corrections due to the spherical Earth may be of interest.
Subjects
arXiv: Physics::GeophysicsAstrophysics::Earth and Planetary AstrophysicsPhysics::Space Physics
free text keywords: Physics - Physics Education, Physics - Classical Physics, Physics - General Physics, General Physics and Astronomy, Gravitational field, Physics, Spherical Earth, Flat Earth, Classical mechanics, Double pendulum, Pendulum, Mechanics
Related Organizations
Funded by
NSF| Quantum Gravity and Relativistic Astrophysics
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 9734871
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics

[1] I. Ciufolini and J. A. Wheeler, Gravitation and inertia (Princeton University Press, Princeton, NJ, 1995)

[2] G. Galilei Dialogues concerning two new sciences (Dover, New York, 1954)

[3] H. Goldstein, Classical mechanics, 2nd ed (Addison-Wesley, Reading, MA, 1980)

[4] J. B. Marion and S. T. Thornton, Classical dynamics of particles and systems, 4th ed (Saunders, Fort Worth, 1995)

[5] R. A. Nelson and M. G. Olsson, 'The Pendulum - Rich Physics from a Simple System', Am. J. Phys. 54 (2), 112-121 (1986). [OpenAIRE]

[6] W. Gough, 'The period of a simple pendulum is not 2π(L/g)(1/2)', Eur. J. Phys. 4, 53 (1983). [OpenAIRE]

[7] G. B. Arfken and H. J. Weber, Mathematical methods for physicists, 5th ed (Hartcourt, San Diego, 2001)

[8] I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, 6th ed (Academic press, San Diego, 2000)

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publication . Preprint . Article . 2003

Effect of the spherical Earth on a simple pendulum

Lior M Burko;