How to use the spring-mass oscillation period calculator
Find the period and frequency of a mass on a spring. Enter mass, spring constant in the fields above; the period, frequency, angular frequency are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- m — Mass (kg)
- k — Spring constant (N/m)
Worked example
With mass = 0.5 kg, spring constant = 80 N/m, the calculator gives period ≈ 0.4967294 s; frequency ≈ 2.013168 Hz; angular frequency ≈ 12.64911 rad/s.
Frequently asked questions
What is the formula for the spring-mass oscillation period calculation?
Period (s) = 2 × π × √(m / k). Frequency (Hz) = 1 / [Period]. Angular frequency (rad/s) = 2 × π × [Frequency]. Here m is mass (kg), k is spring constant (N/m).
What inputs do I need for the spring-mass oscillation period calculator?
You need mass in kg, spring constant in N/m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.