Frequently Asked Questions
Does the mass of a pendulum affect its period?
No. For a simple pendulum the period depends only on length and gravity, not on the mass of the bob: T = 2π√(L/g).
When is the pendulum period formula accurate?
It is accurate for small swings below about 15°, where the restoring force stays nearly proportional to displacement (the simple-harmonic approximation).
How long is a pendulum with a one-second period?
On Earth, a one-second period needs L = g(T/2π)² ≈ 9.81 × (1/2π)² ≈ 0.248 m, and a full two-second period (the classic seconds pendulum that ticks each way once per second) needs about 0.994 m.
What is the period of a 1 meter pendulum?
On Earth (g = 9.81 m/s²) a 1 m simple pendulum has a period of T = 2π√(1 / 9.81) ≈ 2.006 s, so it takes about one second to swing each way. That is just above the classic seconds pendulum, which needs a slightly shorter length of about 0.994 m for an exact two-second period. The bob's mass and (for small swings) the amplitude do not change this.
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