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Related Concept Videos

Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
Angular Velocity and Acceleration01:11

Angular Velocity and Acceleration

We previously discussed angular velocity for uniform circular motion, however not all motion is uniform. Envision an ice skater spinning with their arms outstretched; when they pull their arms inward, their angular velocity increases. Additionally, think about a computer's hard disk slowing to a halt as the angular velocity decreases. The faster the change in angular velocity, the greater the angular acceleration. The instantaneous angular acceleration is defined as the derivative of angular...
Rotation with Constant Angular Acceleration - I01:37

Rotation with Constant Angular Acceleration - I

If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
Rotation with Constant Angular Acceleration - II01:16

Rotation with Constant Angular Acceleration - II

Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature.
The first...
Relative Motion Analysis - Acceleration01:10

Relative Motion Analysis - Acceleration

A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Related Experiment Video

Updated: May 15, 2026

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
06:52

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field

Published on: May 26, 2020

Quasi-real time estimation of angular kinematics using single-axis accelerometers.

Alessio Caroselli1, Fabio Bagalà, Angelo Cappello

  • 1Department of Electrical, Electronic and Information Engineering-Guglielmo Marconi, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy. alessio.caroselli@gmail.com

Sensors (Basel, Switzerland)
|January 17, 2013
PubMed
Summary

This study introduces a cost-effective method for estimating multi-link movement using single-axis accelerometers. The novel technique accurately measures sway and joint angles, offering improved orientation evaluation for biomechanics and control systems.

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Last Updated: May 15, 2026

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Published on: May 26, 2020

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Area of Science:

  • Biomechanics
  • Robotics
  • Sensor Fusion

Background:

  • Multi-link kinematics estimation often requires expensive inertial measurement units per segment.
  • Cost-effective alternatives are needed for practical human movement modeling.

Purpose of the Study:

  • To present a fast technique for estimating sway angle in multi-link chains using single-axis accelerometers.
  • To validate the method's accuracy against established systems in mechanical and human movement tasks.

Main Methods:

  • A novel technique based on windowing accelerometer output with ad hoc boundary conditions.
  • Testing on a mechanical arm with a single-axis accelerometer and encoder.
  • Validation on a subject performing squats using two accelerometers and stereo-photogrammetry.

Main Results:

  • Achieved Root Mean Square Errors (RMSEs) of 0.40 ± 0.02° for a mechanical pendulum and 1.01 ± 0.11° for knee flexion-extension.
  • Results comparable to Extended Kalman Filter applied to inertial measurement units.
  • Demonstrated high accuracy in estimating angles for both mechanical and human movement.

Conclusions:

  • The proposed algorithm is a viable, cost-effective solution for multi-link kinematics estimation.
  • It offers improved accuracy for orientation evaluation in biomechanics and automatic control.
  • Opens new avenues for enhancing existing motion analysis tools.