A Note on the Accuracy of a Computable Approximation for the Period of a Pendulum
Item
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Title
A Note on the Accuracy of a Computable Approximation for the Period of a Pendulum
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Description
https://doi.org/10.1063/1.4922268
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Identifier
Oden, E., & Richards, K. (June 01, 2015). A note on the accuracy of a computable approximation for the period of a pendulum. Aip Advances, 5, 6, 67114.
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uri
https://collections.southwestern.edu/s/suscholar/item/237
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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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Subject
Inequalities
Kinematics
Computable approximation
