π Simple Harmonic Motion
Analyze pendulum and spring oscillations with interactive simulations and phase diagrams
Motion Type
Pendulum Parameters
Set to 0 for no damping (ideal oscillation)
Pendulum Simulation
1x
Progress: 0.0%
Pendulum Motion Results
| Dimensions | Formulas | Calculations |
|---|---|---|
| Period | T = 2Οβ(L/g) | 0 |
| Frequency | f = 1/T | 0 |
| Angular Frequency | Ο = 2Οf | 0 |
| Max Angular Velocity | Οβββ = ΟβΞΈβ | 0 |
| Max Acceleration | aβββ = ΟΒ²ΞΈβ | 0 |
| Total Energy | E = Β½mLΟΒ²ΞΈβΒ² | 0 |
Summary: 6 calculations completed for harmonic-motion
π Understanding Harmonic Motion
Pendulum Motion:
- Restoring Force: Gravity component along arc
- Period Independence: Independent of mass and amplitude (small angles)
- Energy Exchange: Kinetic β Potential energy
- Applications: Clocks, seismometers, metronomes
Spring Motion:
- Hooke's Law: F = -kx (restoring force)
- Mass Effect: Period increases with mass
- Stiffness Effect: Period decreases with spring constant
- Applications: Car suspension, watches, vibration isolation
Physics
About Physics Tools
Our physics calculators provide accurate calculations and interactive visualizations for various physics concepts. Each tool includes step-by-step solutions, real-time simulations, and educational content to help you understand the underlying principles.
