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PHYSICS / OSCILLATION

Mass Spring Frequency Calculator

Calculate ideal natural frequency and period of a mass-spring oscillator. Review the symbolic equation, substituted SI values, assumptions, and result together.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate ideal natural frequency and period of a mass-spring oscillator. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

f=(1/2pi)sqrt(k/m)

What you provide

What you provide

  • Spring constant expressed in N/m, using the same scenario as the other inputs
  • Oscillating mass expressed in kg, using the same scenario as the other inputs

What you receive

What you receive

  • Natural frequency in Hz from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The spring is linear and massless, oscillations are small, and damping is negligible.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors