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Related Concept Videos

Kinematic Equations - I01:26

Kinematic Equations - I

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When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
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Kinematic Equations - II01:17

Kinematic Equations - II

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The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
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Kinematic Equations - III01:18

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
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Kinematic Equations: Problem Solving01:15

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When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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Inertial Frames of Reference01:03

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Newton’s first law is usually considered to be a statement about reference frames. It provides a method for identifying a special type of reference frame: the inertial reference frame. In principle, we can make the net force on a body zero. If its velocity relative to a given frame is constant, then that frame is said to be inertial. So, by definition, an inertial reference frame is a reference frame where Newton's first law holds valid. Newton's first law applies to objects with...
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Related Experiment Video

Updated: Aug 3, 2025

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
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Open-source software library for real-time inertial measurement unit data-based inverse kinematics using OpenSim.

Jere Lavikainen1, Paavo Vartiainen1, Lauri Stenroth1

  • 1Department of Technical Physics, University of Eastern Finland, Kuopio, Finland.

Peerj
|April 11, 2023
PubMed
Summary

This study introduces open-source software for real-time human motion analysis using inertial measurement units (IMUs) and OpenSim. This enables immediate feedback for applications in rehabilitation and ergonomics, moving beyond offline analysis.

Keywords:
Inertial measurement unitInverse kinematicsMotion analysisOpenSimReal-time

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Area of Science:

  • Biomechanics
  • Human Motion Analysis
  • Software Development

Background:

  • Inertial measurement units (IMUs) enable human motion capture outside laboratory settings.
  • OpenSim, a popular musculoskeletal analysis tool, currently supports only offline analysis of IMU data.
  • Real-time analysis capabilities are crucial for immediate feedback in rehabilitation, robotics, and ergonomics.

Purpose of the Study:

  • To develop an open-source software library for real-time inverse kinematics (IK) analysis of IMU data within OpenSim.
  • To enable concurrent calculation of IK using multithreading for improved performance.
  • To assess the feasibility of real-time motion analysis using IMUs and OpenSim.

Main Methods:

  • Developed an open-source software library integrating IMU data input and multithreaded IK calculation in OpenSim.
  • Evaluated software performance (delay and throughput) with varying numbers of IMUs and parallel IK threads.
  • Tested the library using two musculoskeletal models: a lower-body/torso model and a full-body model.

Main Results:

  • Real-time full-body inverse kinematics achieved with delays under 55 ms and throughputs over 90 samples/sec on a desktop computer using 12 IMUs.
  • Similar performance observed on a laptop, with throughputs exceeding 60 samples/sec.
  • Lower-body and torso motion analysis demonstrated higher throughputs (up to 180 samples/sec) with reduced delays.

Conclusions:

  • The developed software library facilitates real-time inverse kinematics analysis with customizable IMU configurations and musculoskeletal models.
  • Subject-specific, full-body motion analysis in real-time is feasible.
  • The use of laptops and IMUs enables real-time motion analysis outside traditional laboratory environments.