Natural vibrations

Periodic vibrations with no external force and no resistance. Amplitude and frequency stay constant forever, and no energy is lost — a state only truly possible in vacuum.

Natural frequency

0.71 Hz

Time period

1.40 s

Oscillations

Angular frequency

4.47 rad/s

Massm

1.00 kg

Spring constantk

20.00 N/m

AmplitudeA

0.12 m

Gravityg

9.80 m/s²

Shortcuts: Space play/pause, R reset, S slow motion.

x+A envelope−A envelope

PEKETotal

Formulas

ω = √(k/m)ω = 4.47 rad/s

Angular natural frequency — set only by the spring and the mass.

T = 2π√(m/k)T = 1.40 s

Natural time period: heavier mass or softer spring means slower vibration.

f = 1/Tf₀ = 0.71 Hz

Natural frequency in hertz — vibrations completed each second.

Current |x|

0.000 m

Mechanical energy

0.000 J