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Related Concept Videos

Distance Corrections01:15

Distance Corrections

To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
Influence of Earth's Curvature and Atmospheric Refraction on Leveling01:26

Influence of Earth's Curvature and Atmospheric Refraction on Leveling

During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
Common Leveling Mistakes and Errors01:17

Common Leveling Mistakes and Errors

A survey team is tasked with determining the elevation difference between points Point A and Point B, separated by uneven terrain. They use a leveling instrument and a leveling rod.Common MistakesMisreading the Rod: During a backsight reading at Point A, the instrumentman observes the rod partially obscured by tall grass. Instead of reading 1.135 m, they mistakenly record 1.735 m due to the misalignment of the crosshair with the wrong graduation. This error adds 0.600 m to all subsequent...
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...
Adjusting a Traverse01:12

Adjusting a Traverse

In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...

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Related Experiment Video

Updated: Jun 10, 2026

Subjective Refraction Test Using a Smartphone for Vision Screening
05:36

Subjective Refraction Test Using a Smartphone for Vision Screening

Published on: October 18, 2024

Absolute flatness testing by the rotation method with optimal measuring-error compensation.

G Schulz, J Grzanna

    Applied Optics
    |August 21, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study advances the rotation method for testing optical flats, enhancing precision through least-squares error minimization. The improved technique offers superior depth and lateral resolution for flatness measurements.

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    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
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    Published on: June 24, 2016

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    Last Updated: Jun 10, 2026

    Subjective Refraction Test Using a Smartphone for Vision Screening
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    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
    12:34

    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

    Published on: June 24, 2016

    Area of Science:

    • Optical metrology
    • Surface characterization
    • Precision engineering

    Background:

    • Accurate measurement of optical flats is crucial for high-performance optical systems.
    • Existing methods for absolute testing of flats can be limited by measurement errors and resolution.
    • The rotation method offers a promising approach for absolute flatness determination.

    Purpose of the Study:

    • To further develop the rotation method for the absolute testing of three flats.
    • To apply least-squares methods for minimizing random measuring errors.
    • To enhance both depth and lateral resolution in flatness measurements.

    Main Methods:

    • Evaluation of four interference patterns from pairs of three flats.
    • Application of least-squares methods to determine and minimize random measuring errors.
    • Development of an algorithm for square-grid detector arrays using interpolation.

    Main Results:

    • Achieved optimal resolution in depth and enhanced lateral resolution.
    • Calculated the root-mean-square (rms) error of flatness deviation as a function of measurement error, resolution, and position.
    • The computational effort involves solving a linear equation system with 3N unknowns.

    Conclusions:

    • The enhanced rotation method provides a robust and precise approach for absolute flatness testing.
    • Least-squares optimization significantly improves measurement accuracy and resolution.
    • The developed algorithm is adaptable to modern detector array technologies.