Problem 54710. Compute the period of a pendulum started from a finite initial angle
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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2 Comments
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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Special Functions II
- 10 Problems
- 1 Finishers
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- Compute the period of a pendulum started from a finite initial angle
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