Dimensiones Physicae, Unitates et Magnitudines Observabiles<\/title><\/p>\n<style>table {\ndisplay: block;\noverflow: scroll;<\/style>\n<\/head><body><\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\"><center><\/p>\n<h1>Dimensiones Physicae, Unitates et Magnitudines Observabiles<\/h1>\nSummarium:<\/strong> \nIn hac lectione disces distinguere magnitudines fundamentales, ut massam, longitudinem et tempus, et quomodo ad unitates derivatas, ut aream et vim, referantur. Cognosces momentum magnitudinum observabilium comparabilium in legibus algebrae et quomodo unitates inter diversos systemata mensurae convertantur. Haec quoque lectione tractantur magnitudines vectoriales, ad formulationem aequationum physicorum necessariae, te praeparantes ad profundius intellectum mensurae in scientiis.\n<\/p>\nIndex Contentorum<\/strong><\/u> \n<a href=\"#1\">Quid sunt unitates et dimensiones physicae?<\/a> \n<a href=\"#2\">Unitates fundamentales, derivatae et earum dimensiones physicae<\/a> \n<a href=\"#3\">Observabilia, magnitudines et unitates physicae<\/a> \n<a href=\"#4\">Algebra observabilium comparabilium<\/a> \n<a href=\"#5\">Lecturae Commendatae<\/a>\n<\/p>\n<\/center><\/p>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/WmhuV7rxL_0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<a name=\"1\"><\/a><\/p>\n<h2>Quid sunt unitates et dimensiones physicae?<\/h2>\nDefinitione accurate quid sit una dimensio physica<\/strong> complere difficile potest. Tamen intellegere possumus physicam versari circa magnitudines quae metiri possunt. Hae magnitudines physicae<\/strong> secundum suam dimensionem<\/strong> distinguuntur et quantificantur per comparationem cum unitatibus<\/strong> standardis. Duae praecipuae categoriae unitatum sunt: fundamentales<\/strong>, ut metrum aut kilogramma, et derivatae<\/strong>, quae ex fundamentalibus per operationes algebraicas formantur. Tabula sequens aliquas unitates fundamentales et earum dimensiones physicas correspondentes exhibet.<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #000000; color: #ffffff;\">Dimensiones Physicae<\/td>\n<td style=\"text-align: center; background-color: #000000; color: #ffffff;\">Symbolum dimensionale<\/td>\n<td style=\"text-align: center; background-color: #000000; color: #ffffff;\">Unitas fundamentalis<\/td>\n<td style=\"text-align: center; background-color: #000000; color: #ffffff;\">Symbolum unitatis<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Massa<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">M<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">kilogramma<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">kg<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Longitudo<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">L<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">metrum<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">m<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Tempus<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">T<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">secundum<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">s<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Intensitas cursus electrici<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">I<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">ampere<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">A<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Temperatura thermodynamica<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">\\Theta<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">kelvin<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">K<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Quantitas substantiae<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">N<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">moles<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">mol<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #ffffff;\">Intensitas luminosa<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">I_v<\/span><\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">candela<\/td>\n<td style=\"text-align: center; background-color: #ffffff;\">cd<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCommunis error est magnitudines physicas directe cum dimensionibus physicis associare. Haec associatio valet pro magnitudinibus quae unitatibus fundamentalibus sicut massa aut tempus mensurantur. Attamen, cum de magnitudinibus loquimur quae unitates derivatas utuntur, ut vis, relatio non est directa. Vis, exempli gratia, propriam dimensionem non habet; sed ex aliis dimensionibus basicis componitur.<\/p>\n<a name=\"2\"><\/a><\/p>\n<h2>Unitates fundamentales, derivatae et earum dimensiones physicae<\/h2>\nUnaquaeque unitas fundamentalis unicae dimensioni physicae respondet, ut massa, longitudo aut tempus. Dimensiones unitatum derivatarum ex productu algebraico dimensionum unitatum fundamentalium proveniunt. Exempla quaedam videamus:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li>Area ex productu duarum longitudinum provenit et ideo eius dimensio est L^2<\/span>, metitur in metris quadratis (m^2<\/span>).<\/li>\n<li>Volumen, ex tribus longitudinibus obtentum sive ex area longitudine multiplicata, dimensionem L^3<\/span> habet et in metris cubicis (m^3<\/span>) mensuratur.<\/li>\n<li>Celeritas, ut distantia tempore divisa definita, dimensionem LT^{-1}<\/span> habet et in metris per secundum (m\/s<\/span>) exprimitur.<\/li>\n<li>Acceleratio ut celeritas tempore divisa computatur, cum dimensione LT^{-2}<\/span>, et in metris per secundum quadratum (m\/s^2<\/span>) mensuratur.<\/li>\n<li>Vis est effectus producti massae per accelerationem, unde dimensio MLT^{-2}<\/span> oritur. Haec communiter in Newtoniis (N<\/span>) mensuratur, formula repraesentata:\n\\displaystyle N = \\frac{kg \\cdot m}{s^2}<\/span>\n<\/li>\n<\/ul>\nSimiliter, multae aliae magnitudines et dimensiones physicae derivari possunt.<\/p>\n<a name=\"3\"><\/a><\/p>\n<h2>Observabilia, Magnitudines et Unitates Physicae<\/h2>\nConceptus quos introduximus porro explicabimus. Magnitudinem observabilem<\/strong>, sive simpliciter \u00abobservabile\u00bb, appellamus quamlibet proprietatem vel phaenomenon quod metiri potest, ut colorem, longitudinem, tempus, volumen aut duritiam.<\/p>\nObservabilia in duas categorias dividuntur: comparabilia et non comparabilia. Observabilia comparabilia<\/strong> sunt illa quae relationem quantitatem constituere possunt, exempli gratia, cum longitudo trabis pluries longitudinem stylum est. Contra, colorem comparative quantificare non possumus; itaque, dum longitudo est observabile comparabile, color est non comparabile.<\/p>\n<a name=\"4\"><\/a><\/p>\n<h2>Algebra Observabilium Comparabilium<\/h2>\nLogica observabilium comparabilium in principiis aequalitatis et additionis fundatur:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li>Criterion Aequalitatis:<\/strong> Duo observabilia comparabilia aequalia sunt si quotientum inter unum et alterum unum est (\\frac{A}{B} = 1<\/span>).<\/li>\n<li>Criterion Additionis:<\/strong> Si tria observabilia comparabilia A<\/span>, B<\/span> et C<\/span> in relatione ad quartum O<\/span> habemus, et proportiones \\frac{A}{O} = n_1<\/span>, \\frac{B}{O} = n_2<\/span> et \\frac{C}{O} = n_3<\/span> servantur, tunc A + B = C<\/span> dicimus si et tantum si n_1 + n_2 = n_3<\/span>.<\/li>\n<\/ul>\nHis principiis demonstratur observabilia comparabilia leges algebrae associativitatis, distributivitatis et commutativitatis sequi.<\/p>\n<h3>Unitates Mensurae et Magnitudines Physicae<\/h3>\nUna unitas mensurae<\/strong> est observabile comparabile ad comparationes cum aliis observabilibus eiusdem dimensionis instituendas electum. Si duo observabilia, A<\/span> et U_A<\/span>, comparabilia sunt, numerus realis \\alpha<\/span> exstat talis ut A<\/span> sit aequalis \\alpha<\/span> vicibus unitatis mensurae U_A<\/span>.<\/p>\nA = \\alpha U_A<\/span>\nExempli gratia, si longitudo trabis est 3 metra, scribimus longitudinem trabis esse 3 [m]<\/span>. Magnitudo mensurae secundum systema unitatum adhibitum variat, quod significat trabem quae 3<\/span> metra mensurat magnitudinem circiter 118.11<\/span> habere si in pollicibus mensuretur.<\/p>\n<h3>Transformatio Unitatum Mensurae<\/h3>\nUt vidimus, observabile in diversis unitatibus mensurare possumus dummodo eandem dimensionem communem habeant. Si A<\/span> observabile est, et U_1<\/span> et U_2<\/span> duae unitates mensurae eiusdem dimensionis sunt, duo numeri reales \\alpha_1<\/span> et \\alpha_2<\/span> corresponent.<\/p>\nA = \\alpha_1 U_1<\/span> et A = \\alpha_2 U_2<\/span>\nIgitur factor conversionis \\gamma^2_1 = \\alpha_2 \/ \\alpha_1<\/span> unitatem U_2<\/span> in U_1<\/span> convertere sinit, et vice versa cum \\gamma^1_2 = \\alpha_1 \/ \\alpha_2<\/span>. Exempli gratia, virga quae longitudinem 5<\/span> unciarum habet 0.127<\/span> metris aequivalet, quod factor conversionis 0.0254<\/span> metrorum per unciam dat.<\/p>\n<h3>Magnitudines Vectoriales<\/h3>\nObservabilia quae unica magnitudine describuntur examinavimus. Tamen sunt observabilia, ut positio in spatio, quae ad plenam descriptionem plures magnitudines requirunt. Haec magnitudines vectoriales<\/strong> appellantur et pluribus valoribus repraesentantur. Exempli gratia, obiectum quod ad 3<\/span> metra ad dexteram, 5<\/span> metra ante et 2<\/span> metra sursum situm est, ut (3, 5, 2)<\/span> metra repraesentatur.<\/p>\n{positio} = (3, 5, 2)<\/span>\nHae magnitudines algebra vectoriali utuntur, quod earum tractationem et applicationem in formulis physicis simpliciorem reddit. Commune exemplum est vis, vector magnitudine et directione instructus, quae in multis aequationibus physicis essentialis est.<\/p>\n<h2>Lecturae Commendatae<\/h2>\nSystema Internationale Ponderum et Mensurarum: <a href=\"https:\/\/www.cem.es\/sites\/default\/files\/siu8edes.pdf\" rel=\"nofollow, noreferrer, noopener\" target=\"_blank\">https:\/\/www.cem.es\/sites\/default\/files\/siu8edes.pdf<\/a><\/p>\nDuctor ad Usum Systematis Internationalis Unitatum (SI): <a href=\"https:\/\/physics.nist.gov\/cuu\/pdf\/sp811.pdf\" rel=\"nofollow, noreferrer, noopener\" target=\"_blank\">https:\/\/physics.nist.gov\/cuu\/pdf\/sp811.pdf<\/a><\/p>\nSystema Anglicum Unitatum: <a href=\"https:\/\/web.archive.org\/web\/20060427072134\/http:\/\/encyclopedie-es.snyke.com\/articles\/sistema_ingles.html\" rel=\"nofollow, noreferrer, noopener\" target=\"_blank\">https:\/\/web.archive.org\/web\/20060427072134\/http:\/\/encyclopedie-es.snyke.com\/articles\/sistema_ingles.html<\/a><\/p>\n<\/body> \n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"Dimensiones Physicae, Unitates et Magnitudines Observabiles Dimensiones Physicae, Unitates et Magnitudines Observabiles Summarium: In hac lectione disces distinguere magnitudines fundamentales, ut massam, longitudinem et tempus, et quomodo ad unitates derivatas, ut aream et vim, referantur. Cognosces momentum magnitudinum observabilium comparabilium in legibus algebrae et quomodo unitates inter diversos systemata mensurae convertantur. Haec quoque lectione tractantur […]<\/p>\n","protected":false},"author":1,"featured_media":25198,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":1,"footnotes":""},"categories":[1262,1250],"tags":[],"class_list":["post-33475","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fundamenta-mechanicae","category-physica"],"yoast_head":"\n<title>Dimensiones Physicae, Unitas et Magnitudines Observabiles - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Hac lectione conceptus dimensionum et magnitudinum physicarum percipies. \ud83d\udd0d Disce quomodo magnitudines fundamentales metiri.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/la\/dimensiones-physicae-unitas-et-magnitudines-observabiles\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dimensiones Physicae, Unitas et Magnitudines Observabiles\" \/>\n<meta property=\"og:description\" content=\"Hac lectione conceptus dimensionum et magnitudinum physicarum percipies. \ud83d\udd0d Disce quomodo magnitudines fundamentales metiri.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/la\/dimensiones-physicae-unitas-et-magnitudines-observabiles\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-08-12T00:00:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-26T06:50:07+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/11\/magnitudeban-1-1024x576.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Dimensiones Physicae, Unitas et Magnitudines Observabiles\" \/>\n<meta name=\"twitter:description\" content=\"Hac lectione conceptus dimensionum et magnitudinum physicarum percipies. \ud83d\udd0d Disce quomodo magnitudines fundamentales metiri.\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/11\/magnitudeban-1.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Dimensiones Physicae, Unitas et Magnitudines Observabiles\",\"datePublished\":\"2021-08-12T00:00:40+00:00\",\"dateModified\":\"2025-07-26T06:50:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/\"},\"wordCount\":979,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/11\\\/magnitudeban-1.jpg\",\"articleSection\":[\"Fundamenta Mechanicae\",\"Physica\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/la\\\/dimensiones-physicae-unitas-et-magnitudines-observabiles\\\/\",\"name\":\"Dimensiones Physicae, Unitas et Magnitudines Observabiles - 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