Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
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.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
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...
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...
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...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Effect of Mo on Microstructures and Wear Properties of In Situ Synthesized Ti(C,N)/Ni-Based Composite Coatings by Laser Cladding.

Materials (Basel, Switzerland)·2017
Same author

Brain Membrane Proteome and Phosphoproteome Reveal Molecular Basis Associating with Nursing and Foraging Behaviors of Honeybee Workers.

Journal of proteome research·2017
Same author

In Situ Stringing of Metal Organic Frameworks by SiC Nanowires for High-Performance Electromagnetic Radiation Elimination.

ACS applied materials & interfaces·2017
Same author

A pairwise likelihood augmented Cox estimator for left-truncated data.

Biometrics·2017
Same author

Novel Three-Dimensional Semiconducting Materials Based on Hybrid d<sup>10</sup> Transition Metal Halogenides as Visible Light-Driven Photocatalysts.

Inorganic chemistry·2017
Same author

Association of lymphocyte-to-monocyte ratio with in-hospital and long-term major adverse cardiac and cerebrovascular events in patients with ST-elevated myocardial infarction.

Medicine·2017

Related Experiment Video

Updated: May 7, 2026

Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data
06:36

Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data

Published on: October 18, 2024

Optimized absolute testing method of shift-rotation.

Weihong Song, Fan Wu, Xi Hou

    Applied Optics
    |October 3, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an optimized absolute testing method for surface metrology, improving accuracy by addressing errors missed in traditional N-position and Zernike polynomial fitting methods for shift-rotation analysis.

    More Related Videos

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice
    09:15

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice

    Published on: February 4, 2015

    Using Unidirectional Rotations to Improve Vestibular System Asymmetry in Patients with Vestibular Dysfunction
    05:02

    Using Unidirectional Rotations to Improve Vestibular System Asymmetry in Patients with Vestibular Dysfunction

    Published on: August 30, 2019

    Related Experiment Videos

    Last Updated: May 7, 2026

    Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data
    06:36

    Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data

    Published on: October 18, 2024

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice
    09:15

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice

    Published on: February 4, 2015

    Using Unidirectional Rotations to Improve Vestibular System Asymmetry in Patients with Vestibular Dysfunction
    05:02

    Using Unidirectional Rotations to Improve Vestibular System Asymmetry in Patients with Vestibular Dysfunction

    Published on: August 30, 2019

    Area of Science:

    • Optical Engineering
    • Surface Metrology
    • Nanotechnology

    Background:

    • Surface metrology commonly uses shift-rotation methods combining N-position and Zernike polynomial fitting.
    • Traditional methods struggle with kNθ order angular errors in rotationally symmetric surface deviation calculations.

    Purpose of the Study:

    • To present an optimized absolute testing method for shift-rotation.
    • To enhance the accuracy of surface deviation measurements.

    Main Methods:

    • Developed an optimized shift-rotation absolute testing method.
    • Incorporated compensation for missing kNθ order angular errors.
    • Applied Zernike polynomial fitting for rotationally symmetric components.

    Main Results:

    • The optimized method demonstrates higher accuracy compared to traditional approaches.
    • Successfully addressed kNθ order angular term errors.
    • Experimental validation performed on spherical surfaces.

    Conclusions:

    • The optimized shift-rotation method offers superior accuracy for surface metrology.
    • This advancement is crucial for precise surface characterization and quality control.