Free Engineering Tool

Vibration Acceleration Calculator (ISO 20816)

Convert vibration velocity (mm/s RMS) to acceleration (m/s², g) at any frequency. Enter velocity and frequency to get acceleration RMS, peak, and displacement results.

ISO 20816 m/s² & g Hz / RPM
Quick presets

Results

Acceleration RMS
Acceleration Peak
Acceleration RMS (g)
Acceleration Peak (g)
Velocity RMS
Velocity Peak
Displacement Peak-to-Peak
Frequency

Acceleration from Velocity

For sinusoidal vibration, acceleration is derived from velocity by multiplication with angular frequency:

Conversion to g

Displacement from Velocity

Where:

  • vRMS — vibration velocity RMS (mm/s)
  • f — frequency (Hz); if RPM given: f = RPM / 60
  • aRMS — acceleration root mean square (m/s²)
  • apeak — acceleration peak = aRMS × √2 (m/s²)
  • dpp — displacement peak-to-peak (μm)

Practical Example

Example — 4.5 mm/s RMS at 25 Hz

aRMS = 4.5 × 2π × 25 / 1000 = 0.707 m/s²

apeak = 0.707 × √2 = 1.000 m/s²

ag,RMS = 0.707 / 9.80665 = 0.072 g

dpp = 4.5 × √2 × 1000 / (π × 25) = 81.0 μm

Vibration Parameter Comparison

ParameterBest Frequency RangeTypical UnitsPrimary Use
Displacement< 10 Hz (600 RPM)μm p-pLow-speed machines, shaft vibration
Velocity10–1000 Hzmm/s RMSGeneral machine condition (ISO 10816)
Acceleration> 1000 Hzm/s², gBearing defects, gear mesh, high-freq
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