Convert acceleration, velocity and displacement in real time.
CPM = cycles per minute, not necessarily shaft RPM. Use the slider to explore or type an exact frequency.
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Velocity · mm/s
Single-frequency sine wave assumed. These relationships do not convert broadband or impulsive overall vibration readings. Results shown as RMS.
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For a sinusoidal vibration with frequency f in Hz, angular frequency is ω = 2πf. For matching amplitude conventions:
v = ωx · a = ωv = ω²x
Peak = √2 × RMS and Peak-to-Peak = 2√2 × RMS. Input values are converted to SI RMS internally, then converted to your selected output units and amplitude. Values are rounded to six significant digits for display; calculations use full browser numeric precision.
1 g = 9.80665 m/s²; 1 in = 25.4 mm; 1 mil = 0.001 in; 1 ft = 0.3048 m. Hz = CPM ÷ 60. Shaft RPM equals CPM only for vibration at 1× shaft speed.
The preview shows two cycles of your input quantity. RMS guides are drawn symmetrically around zero; RMS itself is a nonnegative magnitude. Playback is illustrative and does not reproduce the physical frequency. This tool does not assess machine condition or severity.
This tool supports conversions for acceleration (e.g., g, m/s²), velocity (e.g., mm/s, in/s), and displacement (e.g., micrometers, millimeters, mils). You can also input frequency in Hertz (Hz) or Cycles Per Minute (CPM) and toggle the amplitude type—RMS, Peak, or Peak-to-Peak—for both input and output. An interactive chart illustrates the waveform and the differences between these amplitude types.
First, select the input quantity, its value, unit, and amplitude type; then, enter the vibration frequency. The corresponding values for acceleration, velocity, and displacement are calculated automatically. For example, for a 50 Hz sine wave, a velocity of 10 mm/s RMS corresponds to an acceleration of approximately 3.142 m/s² RMS and a displacement of 31.83 µm RMS.
Yes. Unlike simple unit conversions (such as converting mm/s to in/s), converting velocity to acceleration—or displacement—depends on frequency. This tool calculates the relationships between these three quantities and performs conversions between RMS, Peak, and Peak-to-Peak amplitudes, assuming a single-frequency sinusoidal vibration. Therefore, an arbitrary frequency should not be used to convert the overall vibration value of multi-frequency or impulsive signals.
To get started, enter your measured value into the converter at the top of the page, or use the “Load example” option to view a pre-prepared example. Then, adjust the frequency to better understand its effect on acceleration, velocity, and displacement.
