Determination of the Period of Large Vibrations of a Pendulum in Elementary Functions
- Authors: Kochetkov A.V.1,2, Chelpanov I.B.3,4, Fedotov P.V.5
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Affiliations:
- Perm National Research Polytechnic University
- Saratov State Technical University
- St. Petersburg National Research University of Information Technologies, Mechanics, and Optics (ITMO)
- TsNII Elektropribor Concern
- Research Center of Technical Regulation
- Issue: Vol 59, No 6 (2016)
- Pages: 610-613
- Section: Linear and Angular Measurements
- URL: https://journals.rcsi.science/0543-1972/article/view/245373
- DOI: https://doi.org/10.1007/s11018-016-1017-y
- ID: 245373
Cite item
Abstract
We have determined for the first time in elementary functions an analytically exact period for the vibrations of a physical pendulum for large angles (up to 90°) of deviations from the vertical axis.
About the authors
A. V. Kochetkov
Perm National Research Polytechnic University; Saratov State Technical University
Author for correspondence.
Email: soni81@mail.ru
Russian Federation, Perm; Saratov
I. B. Chelpanov
St. Petersburg National Research University of Information Technologies, Mechanics, and Optics (ITMO); TsNII Elektropribor Concern
Email: soni81@mail.ru
Russian Federation, St. Petersburg; St. Petersburg
P. V. Fedotov
Research Center of Technical Regulation
Email: soni81@mail.ru
Russian Federation, Perm