Simple Pendulum

Simulation Information

This simulation consists of a mass suspended from a frictionless pivot by a massless string.

You can control the simulation using these variables:

• Radius: The length of the pendulum
• Initial Angle: The initial angle of the pendulum
• Gravity: The acceleration due to gravity

The simulation also contains these output measurements:

• Time: The time that has passed
• Period: The period of the pendulum
• Angle: The current angle of the pendulum
• Acceleration: The current acceleration of the mass

Controls:

• Use the start and stop buttons to start and stop the simulation
• Use the step button to advance the simulation by 0.01 seconds
• Use the reset button to restore the simulation to its initial state

Equations:

• \( T = { 2 \cdot \pi \cdot \sqrt{ \ell \over g } } \)
  • \(T\) is the period of the pendulum
  • \(\ell\) is the length of the pendulum
  • \(g\) is the acceleration due to gravity
• \( \theta = { \theta_0 \cdot cos{ t \cdot g \over \ell } } \)
  • \(\theta\) is the angle of the pendulum
  • \(\theta_0\) is the initial angle of the pendulum
  • \(t\) is the time that has passed
  • \(g\) is the acceleration due to gravity
  • \(\ell\) is the length of the pendulum
• \( a = { g \cdot sin{ \theta } } \)
  • \(a\) is the acceleration of the mass
  • \(g\) is the acceleration due to gravity
  • \(\theta\) is the angle of the pendulum