Displacement from Acceleration data

In summary, the conversation discusses different methods for obtaining displacement data from acceleration data using an accelerometer. The person has tried the double integration and trapezoidal integration methods but is looking for a better solution. They mention the FFT method and ask for an explanation of it, including its name. The FFT method involves removing the mean from the acceleration data, taking the Fourier transform, converting to displacement data, and then taking the inverse FFT to return to the time-domain. A link is provided for further information on using the FFT method for measuring displacements with a piezoelectric resistive sensor.
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I was looking for some help on getting displacement from acceleration data (using an accelerometer). I found this old PF thread - https://www.physicsforums.com/archive/index.php/t-123128.html
I am familiar with the double integration/trapezoidal integration. It isn't much help.
The FFT method seems interesting. I don't understand it though.
Is there an explanation of this method. Does it have a name.

Please see FFT method mention by wolfpackdiver in the link above -
1. Remove the mean from the accel. data
2. Take the Fourier transform (FFT) of the accel. data.
3. Convert the transformed accel. data to displacement data by dividing each element by -omega^2, where omega is the frequency band.
4. Now take the inverse FFT to get back to the time-domain and scale your result.
 
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1. What is displacement from acceleration data?

Displacement from acceleration data is a measurement of the distance an object has moved from its original position, based on the rate of change of its acceleration over time. It takes into account both the object's initial velocity and any changes in its acceleration.

2. How is displacement from acceleration data measured?

Displacement from acceleration data can be measured using various methods, such as using sensors or motion detectors, or by calculating it mathematically using the object's acceleration and time data. It can also be measured visually by tracking the movement of an object and measuring the distance it has traveled.

3. What is the relationship between displacement and acceleration?

Displacement and acceleration are related through the fundamental equation of motion, where displacement equals the initial velocity multiplied by time plus half the acceleration multiplied by time squared. In simpler terms, displacement is directly proportional to the square of acceleration.

4. How is displacement from acceleration data used in scientific research?

Displacement from acceleration data is used in various fields of scientific research, such as physics, engineering, and biomechanics. It can be used to study the movement and behavior of objects, track the performance of athletes and vehicles, and analyze the effects of forces on structures and materials.

5. What are the limitations of using displacement from acceleration data?

While displacement from acceleration data can provide valuable information, it also has limitations. It assumes that the acceleration of an object is constant, which may not always be the case. It also does not take into account external factors, such as air resistance or friction, which can affect an object's movement. Additionally, errors in measurement or calculation can impact the accuracy of the displacement data.

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