Simple Pendulum
Observing Oscillations
Investigate how a simple pendulum's period depends on its length and amplitude. Adjust parameters and observe the oscillating motion!
Length:
200 cm
Amplitude:
30°
Gravity:
9.8 m/s²
Period: 2.84s
Frequency: 0.35Hz
Frequency: 0.35Hz
Observation:
The pendulum's period depends mainly on its length and gravity, not amplitude (for small angles).
The Physics of Pendulums
Key Equations:
- Period (T) = 2π√(L/g)
- Frequency (f) = 1/T
- Angular frequency (ω) = √(g/L)
Where L = length, g = gravitational acceleration
Important Concepts:
- For small angles (<15°), period is independent of amplitude
- Longer pendulums have longer periods
- Greater gravity decreases period
- Energy converts between potential and kinetic
Real-world Applications:
- Clocks: Grandfather clocks use pendulums for timekeeping
- Seismometers: Detect and measure earthquakes
- Physics Education: Demonstrate harmonic motion
- Engineering: Study oscillatory systems