Find ω = √(k/m), period, and frequency for an undamped mass on a spring.
| ω (rad/s) | – |
| Period (s) | – |
| Frequency (Hz) | – |
Use this calculator for ideal SHM of a mass on a spring: F = −k x with no damping. Angular frequency is ω = √(k/m), period T = 2π/ω, frequency f = 1/T.
Amplitude does not appear: in ideal SHM the period does not depend on how far you pull it. Damping, a driven oscillator, or a pendulum at large angle are different problems.
k (N/m): Spring stiffness, in newtons per metre.
Mass (kg): Oscillating mass, in kilograms, greater than zero.
ω (rad/s): Angular frequency in radians per second.
Period (s): Time for one cycle.
Frequency (Hz): Cycles per second.
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