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Vibration Unit Converter

Convert between vibration displacement, velocity, and acceleration. Enter any one quantity with frequency to compute all three in multiple units.

For sinusoidal vibration at frequency f, displacement x, velocity v = 2πfx, and acceleration a = (2πf)²x are fully equivalent descriptions linked by the angular frequency ω = 2πf. In practice, accelerometers report in g or m/s², vibration specifications quote velocity in µm/s or µin/s, and table performance specs may use peak or RMS displacement in nm or µm. This converter accepts any one of the three quantities in the user's preferred units, takes the vibration frequency, and outputs all three in standard engineering and SI units — displacement (µm, nm, µin), velocity (µm/s, mm/s, µin/s), and acceleration (mm/s², m/s², g, mg) — as both peak and RMS values. dB levels relative to 1 µm/s (velocity) and 1 µg (acceleration) are also returned, matching the standard references used in vibration criteria such as NIST-A through VC-G.

Input
Displacement
Peak
0.5000µm
Peak
500.00nm
Peak
19.685µin
RMS
0.3536µm
Velocity
Peak
62.832µm/s
Peak
0.06283mm/s
Peak
2473.7µin/s
RMS
44.429µm/s
dB re 1 µm/s
32.953dB
Acceleration
Peak
7.8957mm/s²
Peak
0.007896m/s²
Peak
0.0008051g
Peak
0.8051mg
RMS
5.5831mm/s²
dB re 1 µg
55.107dB
Abridged Optics — Vibration Unit Converter v1.0Assumes sinusoidal vibration. v = 2πfx, a = (2πf)²x. RMS = peak/√2. dB velocity ref: 1 µm/s (SI). dB acceleration ref: 1 µg.

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.