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Period for Simple Pendulums

Reference from the original Physics I textbook.

Period for Simple Pendulums

T=2πLg

T = period (s); L = pendulum length (m); g = gravitational-acceleration magnitude (m/s²). The formula assumes a small swing angle, negligible damping, and an ideal simple pendulum.

Gallery10.2.1.2 1 — details in the accompanying text.

Related Glossary Terms

Period for Oddly Shaped Pendulums, Simple Harmonic Motion↗

Index

Chapter 10 - Pendulums

Chapter 10 - FFR - Complex Harmonics

Reviewed physics notes (1)

These corrections keep the original lesson’s purpose while fixing errors in the source edition.

  • Simple-pendulum period is a small-angle approximation and g is scalar. — Reference 1

About this edition and its source ↗

Glossary and deeper reading · 3 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Oscillation period

    An oscillation period is the time required for one complete repeating cycle. It is the reciprocal of frequency and is measured in seconds. For example, measuring the time for several pendulum swings and dividing by the number of cycles estimates the period.

    Read more: Period of a spring →

  • Pendulum

    A pendulum is a system that swings about a support under a restoring torque. A simple pendulum approximates a small mass on a light string and follows simple harmonic motion only for sufficiently small angles. For example, a short string pendulum completes small swings more quickly than a longer one under the same gravitational field.

    Read more: Pendulums →

  • Simple harmonic motion

    Simple harmonic motion occurs when the net restoring force is proportional to displacement from equilibrium and points in the opposite direction. The resulting position varies sinusoidally with time in the ideal model. For example, a mass attached to an ideal spring can execute simple harmonic motion when damping is negligible.

    Read more: Simple harmonic motion in detail →

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