A note on the accuracy of a computable approximation for the period of a pendulum | Zendy

Eric Oden | Zendy; Kendall C. Richards | Zendy

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A note on the accuracy of a computable approximation for the period of a pendulum

Author(s) -

Eric Oden,

Kendall C. Richards

Publication year - 2015

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4922268

Subject(s) - mathematics , monotonic function , range (aeronautics) , period (music) , gaussian , approximation error , hypergeometric function , function (biology) , simple (philosophy) , upper and lower bounds , mathematical analysis , physics , quantum mechanics , composite material , philosophy , materials science , epistemology , evolutionary biology , acoustics , biology

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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