Pendulum Calculator
Calculate simple pendulum period, length, frequency, and more using T = 2π√(L/g).
Simple Pendulum
Calculate:
10
145
Small angle approximation valid for theta < 15 degrees
Pendulum Formula:
T = 2π√(L/g)
Period independent of mass and amplitude (small angles)
Period
2.0061 s
⏱️Period
2.0061 s
🔊Frequency
0.4985 Hz
📏Length
1.0000 m
💨Max Velocity
0.544 m/s
Motion Details:
Angular frequency (ω)3.1321 rad/s
Maximum height1.52 cm
Oscillations/minute29.91
Corrected period (large amp)2.0099 s
Period on Different Bodies:
Earth2.006 s
Moon4.937 s
Mars3.262 s
Jupiter1.262 s
Venus2.110 s
Mercury3.266 s
Energy (1 kg mass)
Max PE:0.1490 J
Max KE:0.1490 J
Simple Pendulum Properties
Key Characteristics
- • Period depends only on length and gravity
- • Independent of mass (Galileo's discovery)
- • Independent of amplitude (small angles only)
- • Used in clocks for timekeeping
Applications
- • Measuring local gravity (gravimeters)
- • Pendulum clocks (grandfather clocks)
- • Seismometers for earthquake detection
- • Foucault pendulum (Earth's rotation)