Science
Spring potential energy
Calculate energy stored in a stretched or compressed spring and the signed restoring force, which acts opposite the entered displacement.
Calculators / Science / Mass and spring period
Mass and spring period calculator
Find the oscillation period and frequency of a mass attached to an ideal spring; a heavier mass slows the oscillation while stiffness speeds it up.
On this page
Period0.63s
Frequency1.59Hz
Calculator controls
How to calculate
Find the oscillation period and frequency of a mass attached to an ideal spring; a heavier mass slows the oscillation while stiffness speeds it up.
Period = 2*pi*sqrt(m/k) s; Frequency = sqrt(k/m)/(2*pi) Hz
Worked example
Mass (kg): 1; Spring constant (N/m): 100.
Period: 0.63 s; Frequency: 1.59 Hz.
Assumptions and limits
Find the oscillation period and frequency of a mass attached to an ideal spring; a heavier mass slows the oscillation while stiffness speeds it up. Ideal linear Hooke-law spring without damping. Displacement is measured from equilibrium; restoring force has the opposite sign.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the oscillation period and frequency of a mass attached to an ideal spring; a heavier mass slows the oscillation while stiffness speeds it up.
When this tool is useful
Period = 2*pi*sqrt(m/k) s; Frequency = sqrt(k/m)/(2*pi) Hz
Understanding your inputs
| Input | What to enter |
|---|---|
| Mass (kg) | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Spring constant (N/m) | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Find the oscillation period and frequency of a mass attached to an ideal spring; a heavier mass slows the oscillation while stiffness speeds it up. Ideal linear Hooke-law spring without damping. Displacement is measured from equilibrium; restoring force has the opposite sign.
How is the result calculated?
Period = 2*pi*sqrt(m/k) s; Frequency = sqrt(k/m)/(2*pi) Hz