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

445
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...
445
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

527
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...
527
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

392
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...
392
Angular Velocity and Acceleration01:11

Angular Velocity and Acceleration

9.7K
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...
9.7K
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

372
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...
372
Rotation with Constant Angular Acceleration - I01:37

Rotation with Constant Angular Acceleration - I

6.8K
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...
6.8K

You might also read

Related Articles

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

Sort by
Same author

A Fentanyl-Responsive Microneedle Patch for Harm Reduction.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Albuminuria, but not eGFR, tracks diabetic retinopathy severity and retinal ischemia: population-based discovery, clinical replication, and OCTA evidence.

Frontiers in endocrinology·2026
Same author

Adjunctive ab-interno goniotomy in chronic angle-closure glaucoma: a retrospective proof-of-concept pilot study using doubly robust learning.

Frontiers in ophthalmology·2026
Same author

A mechanistic study on the repair of cadmium-induced male infertility using Yishen Tongluo formula based on network toxicology and experimental validation.

Frontiers in endocrinology·2026
Same author

Corrigendum to "a healthy lifestyle is associated with lower risk of depression in type 2 diabetes, irrespective of genetic susceptibility: A UK biobank cohort study" [J. Affect. Disord. 405 (2026) 121657, doi:10.1016/j.jad.2026.121657].

Journal of affective disorders·2026
Same author

Multi-omics analysis of PFOA-induced sperm DNA damage in mice identifies candidate genes and mendelian randomization reveals their human genetic associations.

Reproductive biology·2026

Related Experiment Video

Updated: Sep 6, 2025

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

7.3K

Optimal Rotational Angular Velocity Determination Method Based on Compound Rotary Semi-Strapdown Inertial Navigation

Chenming Zhang1, Jie Li1, Xiaoqiao Yuan1

  • 1National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan 030051, China.

Sensors (Basel, Switzerland)
|June 24, 2022
PubMed
Summary

Compound rotation modulation (CRM) improves guided missile navigation by modulating roll-axis errors. This study introduces an optimal rotation angular velocity method (K-value method) to enhance rotary semi-strapdown inertial navigation system (RSSINS) accuracy.

Keywords:
RSSINSincomplete modulation erroroptimal modulation angular velocityrotation modulation

More Related Videos

Method to Measure Tone of Axial and Proximal Muscle
10:41

Method to Measure Tone of Axial and Proximal Muscle

Published on: December 14, 2011

17.7K
Three Dimensional Vestibular Ocular Reflex Testing Using a Six Degrees of Freedom Motion Platform
10:12

Three Dimensional Vestibular Ocular Reflex Testing Using a Six Degrees of Freedom Motion Platform

Published on: May 23, 2013

16.0K

Related Experiment Videos

Last Updated: Sep 6, 2025

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

7.3K
Method to Measure Tone of Axial and Proximal Muscle
10:41

Method to Measure Tone of Axial and Proximal Muscle

Published on: December 14, 2011

17.7K
Three Dimensional Vestibular Ocular Reflex Testing Using a Six Degrees of Freedom Motion Platform
10:12

Three Dimensional Vestibular Ocular Reflex Testing Using a Six Degrees of Freedom Motion Platform

Published on: May 23, 2013

16.0K

Area of Science:

  • Navigation Systems
  • Aerospace Engineering
  • Control Theory

Background:

  • Single-axis rotation modulation (SRM) in guided missiles accumulates roll-axis errors, compromising navigation accuracy.
  • Compound rotation modulation (CRM) enhances SRM by superimposing one-dimensional rotation to modulate roll-axis errors.
  • The effectiveness of CRM is influenced by Inertial Measurement Unit (IMU) errors and modulation angular velocity.

Purpose of the Study:

  • To propose an optimal rotation angular velocity determination method for improving the accuracy of rotary semi-strapdown inertial navigation systems (RSSINS).
  • To analyze residual errors within the CRM scheme.
  • To investigate the relationship between incomplete modulation error and modulation angular velocity in CRM.

Main Methods:

  • Analysis of residual errors in the compound rotation modulation (CRM) scheme.
  • Discussion of the relationship between incomplete modulation error and modulation angular velocity.
  • Proposal of the K-value method for determining optimal modulation angular velocity.

Main Results:

  • The K-value method effectively determines the optimal modulation angular velocity for CRM.
  • The proposed method significantly improves navigation accuracy in guided projectiles.
  • Error suppression in CRM is optimized by selecting the appropriate modulation angular velocity.

Conclusions:

  • The K-value method offers an effective solution for optimizing modulation angular velocity in CRM.
  • Implementing the K-value method enhances the navigation accuracy of guided projectiles.
  • This approach addresses the limitations of SRM and improves the performance of RSSINS.