A note on the accuracy of a computable approximation for the period of a pendulum
Source abstract
Abstract
We discuss the accuracy of a previously proposed computable approximation for the period of the simple pendulum. In particular, we apply known inequalities for the Gaussian hypergeometric function to prove that the associated error is a monotonic function of the maximum angular displacement, α. For any given range of α, this provides an analytical verification of a precise bound for the associated error.
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Research context
OpenAlex topics: Experimental and Theoretical Physics Studies · Scientific Measurement and Uncertainty Evaluation · Scientific Research and Discoveries
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Affiliations
Southwestern University Department of Mathematics and Computer Science, , Georgetown, Texas 78628, USA
Funding
Howard Hughes Medical Institute
References (9)
Show source-provided references
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