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Related Concept Videos

Angular Velocity and Displacement01:08

Angular Velocity and Displacement

Uniform circular motion is motion in a circle at a constant speed. Although this is the simplest case of rotational motion, it is very useful for many situations and is used to introduce rotational variables. When a particle is moving in a circle, the coordinate system is fixed and serves as a frame of reference to define the particle’s position. Its position vector from the origin of the circle to the particle sweeps out the angle θ, which increases in the counterclockwise direction as the...
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...
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Electronic Distance Measuring Instruments01:30

Electronic Distance Measuring Instruments

Electronic Distance Measuring Instruments (EDMs) are essential tools in modern surveying, offering precise distance measurements by emitting electromagnetic signals and calculating the time required for these signals to travel to a target and return. Two primary types of signals are used in EDMs — light waves and microwaves — each suited to specific environmental and distance requirements. Light-wave-based EDMs utilize either infrared or laser light, providing high accuracy over short distances...
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...

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Related Experiment Video

Updated: Jun 12, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
08:23

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

Published on: September 30, 2019

Optical method of measuring angular displacement using a 2-D charge coupled device.

K Sato, S Yamamoto, M Ami

    Applied Optics
    |June 23, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new noncontact method quickly measures angular displacement using a 2-D CCD camera and computer. This system accurately determines angular changes without needing to know the rotation axis or when the system moves parallel to the plane.

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    Published on: September 30, 2019

    Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization
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    Area of Science:

    • Optics and Photonics
    • Mechanical Engineering
    • Computer Vision

    Background:

    • Accurate measurement of angular displacement is crucial in various engineering applications.
    • Traditional methods often require contact or known rotational axes, limiting their applicability.

    Purpose of the Study:

    • To develop and validate a quick, noncontact method for measuring angular displacement.
    • To demonstrate the system's capability to measure displacement without prior knowledge of the rotational axis or parallel plane movement.

    Main Methods:

    • Utilized a simple system consisting of a two-dimensional (2-D) Charge-Coupled Device (CCD) camera and a personal computer.
    • Developed algorithms to process image data for calculating angular displacement.

    Main Results:

    • Successfully measured angular displacement using the noncontact method.
    • The system demonstrated robustness, functioning accurately even when the rotational axis was unknown or the system moved parallel to the plane.

    Conclusions:

    • The proposed noncontact system offers a versatile and efficient solution for angular displacement measurement.
    • This method has potential applications in robotics, manufacturing, and other fields requiring precise motion tracking.