Improved Volume Determination of Standard Weights by Geometric Measurement

Purpose - to develop an improved mathematical model for volume determination of standardized weights by geometric measurement. Methodology - the new model eliminates an assumption considered in the current model published in the OIML R 111-1 recommendation, since it considers existing deviations f...

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Main Author: Omar Jair Purata Sifuentes
Format: Article
Language:English
Published: Universidad Nacional Autónoma de México 2019-07-01
Series:Entreciencias: Diálogos en la Sociedad del Conocimiento
Subjects:
Online Access:https://www.revistas.unam.mx/index.php/entreciencias/article/view/67514
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author Omar Jair Purata Sifuentes
author_facet Omar Jair Purata Sifuentes
author_sort Omar Jair Purata Sifuentes
collection DOAJ
description Purpose - to develop an improved mathematical model for volume determination of standardized weights by geometric measurement. Methodology - the new model eliminates an assumption considered in the current model published in the OIML R 111-1 recommendation, since it considers existing deviations from the assumed shape of the weights in the current model, specifically in the so-called knob and ring sections. These deviations might originate during the manufacturing processes of the weights. Results - an improved mathematical model for the calculation of the volume of standard weights by geometric measu- rement was deduced. Additionally, the model has the advantage of eliminating the risk of scratching the weights, which makes it possible to extend the use of the new model to higher accuracy classes. Limitations - the proposed model involves the possibility of making geometric measurements without surface contact of the weights, for example, with an optical comparator. Findings - an assessment of the current model against data previously published allows highlighting the relevance and higher accuracy of the new model, which makes it possible to calculate the density of standard weights, even for E class, through only geometric measurements.
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institution Kabale University
issn 2007-8064
language English
publishDate 2019-07-01
publisher Universidad Nacional Autónoma de México
record_format Article
series Entreciencias: Diálogos en la Sociedad del Conocimiento
spelling doaj-art-aede6801227e4bc7ae838184adde9b3a2025-08-25T16:46:25ZengUniversidad Nacional Autónoma de MéxicoEntreciencias: Diálogos en la Sociedad del Conocimiento2007-80642019-07-01720Improved Volume Determination of Standard Weights by Geometric MeasurementOmar Jair Purata Sifuentes0Universidad de Guanajuato Purpose - to develop an improved mathematical model for volume determination of standardized weights by geometric measurement. Methodology - the new model eliminates an assumption considered in the current model published in the OIML R 111-1 recommendation, since it considers existing deviations from the assumed shape of the weights in the current model, specifically in the so-called knob and ring sections. These deviations might originate during the manufacturing processes of the weights. Results - an improved mathematical model for the calculation of the volume of standard weights by geometric measu- rement was deduced. Additionally, the model has the advantage of eliminating the risk of scratching the weights, which makes it possible to extend the use of the new model to higher accuracy classes. Limitations - the proposed model involves the possibility of making geometric measurements without surface contact of the weights, for example, with an optical comparator. Findings - an assessment of the current model against data previously published allows highlighting the relevance and higher accuracy of the new model, which makes it possible to calculate the density of standard weights, even for E class, through only geometric measurements. https://www.revistas.unam.mx/index.php/entreciencias/article/view/67514Weight volumegeometric measurementstandard weights.
spellingShingle Omar Jair Purata Sifuentes
Improved Volume Determination of Standard Weights by Geometric Measurement
Entreciencias: Diálogos en la Sociedad del Conocimiento
Weight volume
geometric measurement
standard weights.
title Improved Volume Determination of Standard Weights by Geometric Measurement
title_full Improved Volume Determination of Standard Weights by Geometric Measurement
title_fullStr Improved Volume Determination of Standard Weights by Geometric Measurement
title_full_unstemmed Improved Volume Determination of Standard Weights by Geometric Measurement
title_short Improved Volume Determination of Standard Weights by Geometric Measurement
title_sort improved volume determination of standard weights by geometric measurement
topic Weight volume
geometric measurement
standard weights.
url https://www.revistas.unam.mx/index.php/entreciencias/article/view/67514
work_keys_str_mv AT omarjairpuratasifuentes improvedvolumedeterminationofstandardweightsbygeometricmeasurement