# How Do I Convert Between Acceleration, Velocity & Displacement?

|One of the most searched for and read topics on the Noise & Vibration Measurement Blog is that of converting between measurements of acceleration, velocity and displacement.

To help anyone looking for posts on this topic we’ve collected all of our articles together in one place. Follow the links below to find out more…

Signal Processing

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Converting Acceleration, Velocity & Displacement

From time to time I meet engineers who are interested in converting acceleration, velocity & displacement. Often, they have measured acceleration, but are interested in displacement or vice versa. Equally, velocity is often used to find acceleration.

From time to time I meet engineers who are interested in converting acceleration, velocity & displacement. Often, they have measured acceleration, but are interested in displacement or vice versa. Equally, velocity is often used to find acceleration.

Signal Processing

via Noise & Vibration Blog

Calculating Velocity Or Displacement From Acceleration Time Histories

It is quite straightforward to apply “classical” integration techniques for calculating velocity time histories from acceleration time histories or the corresponding displacement time history from a velocity time history.

It is quite straightforward to apply “classical” integration techniques for calculating velocity time histories from acceleration time histories or the corresponding displacement time history from a velocity time history.

Signal Processing

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Acceleration, Velocity & Displacement Spectra – Omega Arithmetic

Accelerometers are robust, simple to use and readily available transducers. Measuring velocity and displacement directly is not simple. In a laboratory test rig we could use one of the modern potentiometer or LVDT transducers to measure absolute displacement directly as static reference points are available. But on a moving vehicle this is not possible.

Accelerometers are robust, simple to use and readily available transducers. Measuring velocity and displacement directly is not simple. In a laboratory test rig we could use one of the modern potentiometer or LVDT transducers to measure absolute displacement directly as static reference points are available. But on a moving vehicle this is not possible.

Signal Processing

via Noise & Vibration Blog

Vibration : Measure Acceleration, Velocity or Displacement?

When using vibration data, especially in conjunction with modelling systems, the measured data is often needed as an acceleration, as a velocity and as a displacement. Sometimes different analysis groups require the measured signals in a different form. Clearly, it is impractical to measure all three at once even if we could. Physically it is nigh on impossible to put three different types of transducer in the same place.

When using vibration data, especially in conjunction with modelling systems, the measured data is often needed as an acceleration, as a velocity and as a displacement. Sometimes different analysis groups require the measured signals in a different form. Clearly, it is impractical to measure all three at once even if we could. Physically it is nigh on impossible to put three different types of transducer in the same place.

Signal Processing

via Noise & Vibration Blog

Wide Band Integrators – What Are They?

For some time now it has been conventional ‘wisdom’ that using time based digital integration may cause amplitude errors in the result and that these get worse as the frequency increases. As a result of this, integration using Omega arithmetic has been prevalent by using Fourier Transforms of the signal. This, of course, remains a valid approach and is particularly useful if the data is already in the frequency domain, which was its prime purpose.

For some time now it has been conventional ‘wisdom’ that using time based digital integration may cause amplitude errors in the result and that these get worse as the frequency increases. As a result of this, integration using Omega arithmetic has been prevalent by using Fourier Transforms of the signal. This, of course, remains a valid approach and is particularly useful if the data is already in the frequency domain, which was its prime purpose.

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#### Chris Mason

General Manager at Prosig

My passion for technology and innovation began as a teenager with Sinclair ZX80's, Commodore PETs & Apple ]['s. This became a career in software development, product development, team leadership, web development, and marketing. Now I am a General Manager responsible for growth, innovation, strategy & leadership. I gained an HND in Maths, Stats & Computing from Portsmouth Polytechnic in 1983 and completed an MBA at the University of Winchester in 2019 where I focused on innovation and strategy.

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