Vibration Unit Converter (g, mm/s, µm)

How it works

For a single-frequency (sinusoidal) vibration, acceleration, velocity and displacement are linked by the angular frequency ω = 2πf: velocity is acceleration ÷ ω and displacement is velocity ÷ ω. That's why low frequencies show up best in displacement and high frequencies in acceleration.

Peak, RMS and peak-to-peak describe the same sine wave differently: RMS = peak / √2 and peak-to-peak = 2 × peak. Real machine vibration contains many frequencies, so treat these conversions as approximations at the dominant frequency.

ω = 2π × f
v = a / ω      d = v / ω
RMS = peak / √2      peak-to-peak = 2 × peak
1 g = 9.80665 m/s²

Worked example

A motor running at 3,000 rpm (50 Hz) vibrates at 10 mm/s RMS. That's 14.14 mm/s peak, a peak acceleration of 4.44 m/s² (0.453 g, or 0.320 g RMS) and a peak displacement of 45 µm (90 µm peak-to-peak).