basic

Simple Harmonic Motion Period (Mass-Spring) Calculator

T = 2π · √(m / k).

Compute the period and frequency of a mass-spring oscillator undergoing simple harmonic motion from the mass m and spring stiffness k: T = 2π · √(m/k). Reports angular frequency ω, period T, and frequency f = 1/T.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

kg
N/m

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

T = 2π · √(m/k); ω = √(k/m); f = 1/T.

In depth

Compute the period and frequency of a mass-spring oscillator undergoing simple harmonic motion from the mass m and spring stiffness k: T = 2π · √(m/k). Reports angular frequency ω, period T, and frequency f = 1/T.