Spring Frequency Calculator
Enter spring constant and mass to instantly calculate the natural oscillation frequency and period of a spring-mass system.
Spring-Mass Inputs
N/m
kg
Formula
f = (1 / 2π) × √(k / m)
ω = 2π × f
T = 1 / f
Results
Enter k and m above to see results
Natural Frequency
f = (1/2π) × √(k/m)
—
Hz
Angular Frequency
ω = 2π × f
—
rad/s
Period
T = 1 / f
—
s
Summary
Enter spring constant and mass to instantly calculate the natural oscillation frequency and period of a spring-mass system.
How it works
- Enter the spring constant (k) in Newtons per meter (N/m).
- Enter the mass (m) attached to the spring in kilograms (kg).
- The calculator applies f = (1/2π) × √(k/m) to find the natural frequency.
- Angular frequency ω = 2πf and period T = 1/f are derived automatically.
- Results update instantly as you type — no button press required.
Use cases
- Verify natural frequency in mechanical engineering design projects.
- Study simple harmonic motion in physics coursework.
- Check resonance frequency when designing vibration isolation systems.
- Analyze suspension systems and damper spring combinations.
- Quickly compare how changing stiffness or mass shifts the frequency.
- Validate hand calculations during lab experiments.
Frequently Asked Questions
Last updated: 2026-06-11 ·
Reviewed by Nham Vu