Mass Spring Period Calculator
Calculate the oscillation period of an ideal mass-spring system.
Mass Spring Period measurements
Enter your values, then calculate.
Result
How to calculate mass spring period
This calculator finds the period of oscillation for a mass on a spring — how long one complete back-and-forth cycle takes.
How the calculation works
Period = 2π × √(Mass ÷ Spring constant).
Example
A 0.5 kg mass on a spring with a 20 N/m spring constant: 2π×√(0.5÷20) = 2π×0.158 ≈ 0.99 seconds.
Frequently asked questions
How is Result calculated?
Result = 2 × pi() × sqrt([Mass] ÷ [Spring constant]).
Is the Mass Spring Period Calculator free to use?
Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.
Mass Spring Period Calculator
Period = 2π × √(Mass ÷ Spring constant).
Let's understand your mass spring period result.
Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.
Pro Tips for Mass Spring Period
- This period is independent of amplitude (how far the spring is stretched) for an ideal spring following Hooke's Law — a useful property called isochronism.
- A stiffer spring (higher spring constant) or lighter mass both result in a shorter oscillation period.
Common Mass Spring Period Mistakes to Avoid
- Assuming a larger initial displacement changes the oscillation period for an ideal spring, when period depends only on mass and spring constant, not amplitude.
When to Use This Calculator
This calculator finds the period of oscillation for a mass on a spring — how long one complete back-and-forth cycle takes.