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

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...

Full description

Bibliographic Details
Main Authors: Eric Oden, Kendall Richards
Format: Article
Language:English
Published: AIP Publishing LLC 2015-06-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4922268