Realistic Pendulum with Friction

Realistic Pendulum Simulation

A physics-accurate pendulum with air friction and damping effects. Adjust parameters and observe how they affect the motion.

Pendulum Simulation

Physics Parameters

Pendulum Length 150 cm

Gravity 9.8 m/s²

Air Friction 0.02

Initial Angle 60°

Current Angle

60.0°

Angular Velocity

0.0 rad/s

Oscillations

Time

0.0 s

Physics Behind the Simulation

This pendulum simulation uses realistic physics equations that account for gravity, air friction, and angular momentum. The motion is calculated using the differential equation for a damped pendulum:

d²θ/dt² + (b/m) * dθ/dt + (g/L) * sin(θ) = 0

Where:

θ is the angular displacement
g is the gravitational acceleration (adjustable)
L is the pendulum length (adjustable)
b is the damping coefficient due to air friction (adjustable)
m is the mass of the pendulum bob (fixed in this simulation)

The simulation numerically solves this equation using the Runge-Kutta method for accuracy. You can adjust parameters to see how they affect the pendulum's motion - for example, increasing friction will cause the pendulum to stop swinging more quickly.