What is Pendulum Wave?

A pendulum wave is a fascinating physics demonstration where a series of pendulums with carefully calculated lengths swing simultaneously. Because each pendulum has a slightly different period, they gradually shift out of phase, creating beautiful wave-like patterns before eventually returning to perfect synchronization.

This simulator recreates the mesmerizing effect digitally, allowing you to customize the number of pendulums, colors, speed, and viewing angle for a truly immersive experience.

Physics in Action: Each pendulum completes a different number of oscillations within the same time period, creating the hypnotic wave patterns you observe.

How It Works

Different Lengths

Each pendulum has a unique length, determining its swing frequency and period.

Phase Shifting

Longest pendulum swings slowest, shortest swings fastest, creating phase differences.

Synchronization

After ~60 seconds, all pendulums return to starting positions and the cycle repeats.

The pendulum wave demonstrates the elegant relationship between length, period, and frequency in harmonic motion—a fundamental principle in classical mechanics.
— Physics Education Research

Table of Contents

1. What is Pendulum Wave?
- 1.1. How It Works
2. How to Use
- 2.1. Controls
- 2.2. Tips for Best Experience
3. Features
4. Frequently Asked Questions

How to Use

The simulator starts automatically when you open the page. Hover over the screen (or tap on mobile) to reveal the interactive controls.

Controls

Count

Adjust the number of pendulums in the wave.

Range: 10 to 40 pendulums
More pendulums = smoother wave patterns

Speed

Control simulation playback speed.

Speed up for quick pattern viewing
Slow down for detailed observation

Gravity

Modify gravitational force affecting swing speed.

Higher gravity = faster swings
Lower gravity = slower motion

Color Presets

Choose from five beautiful color schemes.

Rainbow, Neon, Ocean, Sunset, Monochrome
Each preset optimized for visual appeal

View Modes

Switch between front and top-down perspectives.

Front: Classic pendulum view
Top: Wave pattern from above

Trail Effect

Toggle visual traces behind pendulum bobs.

Creates light-painting effects
Stunning with Rainbow preset

Reset Button: Return all pendulums to synchronized starting position instantly.

Tips for Best Experience

Use fullscreen mode for the most immersive viewing experience
Try the Trail effect with Rainbow preset for stunning color trails
Watch the full 60-second cycle to see the complete synchronization pattern
Switch to Top view to see the wave pattern from a different perspective
Experiment with different gravity settings to observe how it affects motion
Lower pendulum counts (10-15) show clearer individual movements
Higher counts (30-40) create smoother, more fluid wave patterns

Features

Realistic Physics

The simulation uses the real pendulum period formula T = 2π√(L/g) to calculate each pendulum's swing speed based on its length. This creates authentic wave patterns that match real-world pendulum wave demonstrations.

Scientific Accuracy: The mathematical model ensures each pendulum behaves according to classical mechanics principles, providing an educational and visually accurate representation.

Dual View Modes

Front View

Classic Perspective

Pendulums hanging from support bar
Traditional demonstration view
Shows vertical swing motion
Best for observing synchronization

Top View

Overhead Perspective

Horizontal displacement as dots
Parallel track visualization
Wave pattern from above
Reveals phase relationships clearly

Visual Effects

Glow Effect

Each pendulum bob features a subtle glow effect for added depth and visual appeal, making them stand out against the background.

Trail Mode

Leave fading traces behind each bob as it swings, creating beautiful light painting effects—especially stunning with the Rainbow color preset.

Color Presets

Choose from five carefully designed color schemes, each optimized for different visual preferences and viewing conditions:

Rainbow

Full spectrum gradient across all pendulums.

Vibrant color transitions
Best with Trail mode

Neon

Bright green tones with electric energy.

High contrast visibility
Modern aesthetic

Ocean

Cool blue shades for calming effect.

Relaxing color palette
Easy on the eyes

Sunset

Warm orange and red tones.

Energetic warm colors
High visual impact

Monochrome

Elegant grayscale gradient.

Professional appearance
Focus on motion patterns

Customizable Parameters

Fine-tune the experience with adjustable settings that give you complete control over the simulation:

Pendulum Count 10-40

Simulation Speed Variable

Gravity Strength Adjustable

Auto-Save: All your preferences are automatically saved to your browser and restored when you return.

Frequently Asked Questions

How long until the pendulums resynchronize?

The full synchronization cycle takes approximately 60 seconds. During this time, you'll see the pendulums create various wave patterns before all returning to swing in unison. This timing is based on the mathematical relationship between each pendulum's length and period.

Pro Tip Watch the entire cycle to appreciate the complete pattern evolution from synchronization → wave formation → chaos → resynchronization.

What does the Gravity slider do?

The Gravity slider adjusts the simulated gravitational force affecting all pendulums. Higher gravity makes pendulums swing faster, while lower gravity slows them down.

This affects all pendulums proportionally, so the wave patterns remain consistent—just at different speeds. It's like watching the same demonstration on different planets with varying gravitational fields.

Educational Note: This demonstrates how gravity affects pendulum period according to the formula T = 2π√(L/g), where g is gravitational acceleration.

What is Trail mode?

Trail mode leaves a fading visual trace behind each pendulum bob as it moves. Instead of clearing the screen each frame, previous positions slowly fade out, creating a light-painting effect that beautifully illustrates the wave patterns.

This effect is particularly stunning when combined with the Rainbow color preset, as it creates flowing ribbons of color that reveal the mathematical elegance of the phase relationships.

Can I use this as a screensaver or background?

Yes! The simulator is perfect for ambient viewing. Use the fullscreen button and let the simulation run continuously. The controls auto-hide to ensure an unobstructed view.