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Natural Frequency Spring-Mass System Calculator

ωn = √(k/m) — undamped natural frequency.

Calculates the undamped natural frequency and period of a spring-mass system from stiffness k and mass m.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

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

ωn = √(k/m) rad/s; fn = ωn/(2π) Hz; T = 1/fn s

In depth

Calculates the undamped natural frequency and period of a spring-mass system from stiffness k and mass m.