Velocity in in/sec Peak to Acceleration in G’s Calculator
Convert between peak vibration velocity in in/sec, peak acceleration in g, and frequency in CPM. Enter any two variables to solve the third for a discrete sinusoidal frequency.
US + metric
Formula shown
Shareable results
Velocity, Acceleration & Frequency
g pk
in/s pk
CPM
Enter any two variables
The highlighted field is calculated automatically using a single-frequency sinusoidal relationship.
Peak acceleration0.0976437g pk(0.957557 m/s² pk)
Filtered, discrete frequency only
Acceleration and velocity must both be peak amplitudes. This conversion does not apply to broadband, random, shock, transient, or unfiltered overall vibration.
For the US vibration inputs shown, A(g pk) = 0.0002712324576 × V(in/s pk) × CPM. The coefficient is derived from standard gravity and the exact international inch.
For preliminary analysis and educational use. Verify amplitude conventions, frequency filtering, sensor bandwidth, mounting, calibration, and signal-processing settings before using a result for machinery decisions.
This calculator converts among peak vibration velocity, peak acceleration, and frequency for one sinusoidal vibration component. Choose the variable to calculate, then enter the other two. US vibration units use in/sec peak, g peak, and cycles per minute (CPM); the metric view uses mm/s peak, g peak, and hertz.
The sinusoidal relationship
For a sinusoidal velocity waveform, peak acceleration is Apk = ωVpk = 2πfVpk. The inverse forms are Vpk = Apk/(2πf) and f = Apk/(2πVpk). Frequency in hertz is CPM divided by 60. The calculator converts velocity to metres per second and acceleration to metres per second squared before solving.
Solve in any direction
Peak acceleration (A) — enter peak vibration velocity and frequency.
Peak velocity (Vips) — enter peak acceleration and frequency.
Frequency (CPM or Hz) — enter peak acceleration and peak velocity.
Worked example
A filtered sinusoidal vibration of 0.1 in/sec peak at 3,600 CPM (60 Hz) has a peak acceleration of 0.097644 g, equivalent to 0.95756 m/s². Solving backward with that acceleration and frequency returns 0.1 in/sec peak.
Amplitude conventions matter
This tool pairs peak velocity with peak acceleration. Do not mix peak and RMS values. For a pure sinusoid, peak = RMS × √2; apply that conversion to both quantities if the source instrument reports RMS.
Discrete-frequency assumption
The conversion is valid for a single sinusoidal component at a known frequency, such as a filtered spectral line. It does not convert broadband, random, transient, shock, or unfiltered overall vibration. For a spectrum, convert each frequency component separately using consistent amplitude conventions.
Assumptions and limits
The vibration is sinusoidal and occurs at one discrete, filtered frequency.
Acceleration and velocity are both peak amplitudes.
CPM equals shaft rpm only for a 1× rotational vibration component.
The mathematical result does not account for sensor bandwidth, integration noise, filtering, mounting, or calibration uncertainty.
Brüel &Kjær Sound and Vibration Handbook sinusoidal relationshipsNIST SP 811 standard gravity and inch definition
Verified
Constants and formula two-source checked (PumpCalcs engineering review, 2026-08-26).
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