Vibration Unit Converter

Convert between acceleration, velocity, and displacement vibration units at any frequency. Compare specs across vendors or interpret vibration analyzer readings instantly.

Input Parameters

60 Hz = 3600 CPM

Results

Enter a vibration value, select the unit, and specify a frequency to see all equivalent values.

How Vibration Units Relate

Acceleration, velocity, and displacement describe the same vibration motion from three different perspectives. For a sinusoidal vibration at frequency f, these three quantities are related through calculus: velocity is the integral of acceleration, and displacement is the integral of velocity.

At a given frequency, knowing any one of the three quantities lets you calculate the other two. The relationships are:

Acceleration → Velocity

vpeak = apeak / (2πf)

Acceleration → Displacement

dpeak = apeak / (2πf)²

Velocity → Acceleration

apeak = vpeak × 2πf

Velocity → Displacement

dpeak = vpeak / (2πf)

Displacement → Velocity

vpeak = dpeak × 2πf

Displacement → Acceleration

apeak = dpeak × (2πf)²

These conversions assume pure sinusoidal motion at a single frequency. Real-world vibration signals contain many frequencies, so this converter is most accurate when applied to individual spectral components rather than broadband overall values.

Amplitude Conventions

  • Acceleration is typically expressed as peak (zero-to-peak) amplitude.
  • Velocity is commonly given as either peak or RMS. ISO standards use RMS. American practice often uses peak. RMS = Peak / √2 for sinusoidal signals.
  • Displacement is almost always reported as peak-to-peak (the full swing from maximum positive to maximum negative). Peak-to-peak = 2 × peak amplitude.

Common Reference Values (ISO 10816)

The ISO 10816 standard provides velocity-based vibration severity guidelines. The table below shows thresholds for Class I machines (small machines up to 15 kW):

Zone Velocity (mm/s RMS) Condition
A < 0.71 New or reconditioned
B 0.71 – 1.8 Acceptable for long-term operation
C 1.8 – 4.5 Tolerable only for limited periods
D > 4.5 Damage likely — immediate action required

For larger machines, the thresholds shift higher. Class II (15–75 kW): Good < 1.8, Acceptable < 4.5, Alert < 11.2. Class III/IV (rigid/flexible foundation, >75 kW): Good < 2.8/4.5, Acceptable < 7.1/11.2.

When to Use This Converter

  • Comparing vendor specs: One sensor datasheet lists sensitivity in g, another in mm/s². Convert to compare directly.
  • Interpreting analyzer readings: Your vibration analyzer shows acceleration, but alarm thresholds are in velocity RMS. Convert at the frequency of interest.
  • Sensor selection: Accelerometers measure acceleration natively. Convert to expected displacement or velocity at your machine’s running speed to verify sensor range.
  • Reporting: Convert between units used by different teams, standards, or reporting systems.

For more in-depth bearing vibration analysis techniques and practical monitoring guidance, visit iotbearings.com.