Given a simple pendulum of length r and mass m, determine the oscillation period T if the perturbation angle θ is very small (i.e. θ < 10degrees).

How can I derive an equation for period using just that info?

1 answer

Period = 2 pi sqrt(r/g)
for small angle oscillations.

You need to solve the differential equation of motion for small angle theta to derive that result.

Many proofs can be found online and in textbooks, but they require calculus.