Problem 54710. Compute the period of a pendulum started from a finite initial angle

Created by ChrisR

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Cody Problem 49830 asks for the period T of a pendulum swinging through a small angle. Here the pendulum started at rest from an angle  that is not necessarily small. The other assumptions are similar (no friction or drag, massless rod). 
Write a function that takes the initial angle and returns , where L is the length of the pendulum and g is the acceleration of gravity. In the limit as the initial angle approaches zero, the function should produce .

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Last Solution submitted on Sep 16, 2025

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Dyuman Joshi on 20 Oct 2022

It seems integral() is not able to resolve upto the required precision.
I will have to think of another method or function.

ChrisR on 28 Oct 2022

Hint: 45982

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Problem 54710. Compute the period of a pendulum started from a finite initial angle

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Problem 54710. Compute the period of a pendulum started from a finite initial angle

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Last 200 Solutions

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Problem Recent Solvers4

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More from this Author314

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