{"id":572,"date":"2022-03-04T21:10:45","date_gmt":"2022-03-04T19:10:45","guid":{"rendered":"http:\/\/www.cosmoespai.com\/cat\/?p=572"},"modified":"2022-03-04T21:10:49","modified_gmt":"2022-03-04T19:10:49","slug":"qui-va-mesurar-la-circumferencia-de-la-terra-per-primer-cop","status":"publish","type":"post","link":"https:\/\/www.cosmoespai.com\/cat\/qui-va-mesurar-la-circumferencia-de-la-terra-per-primer-cop\/","title":{"rendered":"Qui va mesurar la circumfer\u00e8ncia de la Terra per primer cop?"},"content":{"rendered":"\n<p class=\"has-text-align-justify\">Gr\u00e0cies als enormes aven\u00e7os de la tecnologia en els \u00faltims anys, hem pogut enviar sat\u00e8l\u00b7lits en \u00f2rbita, i mesurar de manera precisa la circumfer\u00e8ncia de la Terra. No obstant, fa milers d\u2019anys, aquesta opci\u00f3 no era possible, i ni tan sols se sabia quina forma tenia la Terra. \u00c9s a Erat\u00f2stenes a qui s\u2019atribueix la primera mesura de la circumfer\u00e8ncia de la Terra.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><em><u><strong>La mesura d\u2019una ombra<\/strong><\/u><\/em><\/h4>\n\n\n\n<p class=\"has-text-align-justify\">Erat\u00f2stenes, estudiant els papirs de la biblioteca d\u2019Alexandria, va llegir que al migdia del solstici d\u2019estiu (l\u2019actual 21 de juny) els raigs de sol a la ciutat de Syene arriben verticalment al terra, de manera que no produeixen cap ombra en els objectes.<\/p>\n\n\n\n<p class=\"has-text-align-justify\">Llavors, Erat\u00f2stenes va esperar al pr\u00f2xim solstici d\u2019estiu, per provar si succe\u00efa el mateix a la seva ciutat, Alexandria. No obstant, va observar que no passava el mateix. Pel contrari, va calcular que els objectes provocaven una ombra de 7,2 graus. Sabent aix\u00f2, va raonar que si els rajos del Sol eren paral\u00b7lels els uns als altres, i que, a la mateixa hora del dia, un objecte a Alexandria feia ombra i un a Syene no, aix\u00f2 volia dir que la Terra t\u00e9 una superf\u00edcie corba, i que per tant \u00e9s una esfera (aix\u00f2 s\u2019il\u00b7lustra a la seg\u00fcent imatge).<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-attachment-id=\"576\" data-permalink=\"https:\/\/www.cosmoespai.com\/cat\/qui-va-mesurar-la-circumferencia-de-la-terra-per-primer-cop\/mesura_circumferenciaterra1-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/03\/Mesura_CircumferenciaTerra1-1.jpg?fit=720%2C405\" data-orig-size=\"720,405\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Mesura_CircumferenciaTerra1-1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/03\/Mesura_CircumferenciaTerra1-1.jpg?fit=300%2C169\" data-large-file=\"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/03\/Mesura_CircumferenciaTerra1-1.jpg?fit=720%2C405\" decoding=\"async\" loading=\"lazy\" width=\"720\" height=\"405\" src=\"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/03\/Mesura_CircumferenciaTerra1-1.jpg?resize=720%2C405\" alt=\"\" class=\"wp-image-576\" data-recalc-dims=\"1\"\/><figcaption><em>Com que la superf\u00edcie de la Terra est\u00e0 corvada, i els rajos del Sol arriben paral\u00b7lels els uns als altres, a la mateixa hora del dia, un objecte a Alexandria produeix sombra, i un a Syene no.<\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"has-text-align-justify\">A partir d\u2019aqu\u00ed, i tenint en compte que les dues ciutats es troben quasi en el mateix meridi\u00e0 (nom\u00e9s hi ha un 3% de difer\u00e8ncia entre la longitud d\u2019una i de l\u2019altra), nom\u00e9s li calia saber la dist\u00e0ncia que separava les dues ciutats. Amb aquesta dada podria calcular la circumfer\u00e8ncia de la Terra.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><em><u><strong>Calculant la circumfer\u00e8ncia de la Terra<\/strong><\/u><\/em><\/h4>\n\n\n\n<p class=\"has-text-align-justify\">Erat\u00f2stenes va enviar uns ajudants seus i uns camellers que va contractar, per mesurar la dist\u00e0ncia (en el cam\u00ed m\u00e9s recte possible) entre les dues ciutats. Aix\u00ed, va saber que la dist\u00e0ncia en l\u00ednia recta era de 5 000 estadis (una unitat de mesura utilitzada en aquella \u00e8poca).<\/p>\n\n\n\n<p class=\"has-text-align-justify\">Sabent aix\u00f2, ja es va veure en condicions de calcular la circumfer\u00e8ncia de la Terra: com que la difer\u00e8ncia entre les ombres d\u2019Alexandria i Syene \u00e9s de 7,2 graus, aix\u00f2 vol dir que estan separades per 7,2 dels 360 graus de la Terra. 7,2 graus \u00e9s una cinquantena part de 360 graus, i si una cinquantena de la circumfer\u00e8ncia terrestre correspon a 5 000 estadis, la circumfer\u00e8ncia total de la Terra ser\u00e0 de 50 x 5 000 = 250 000 estadis.<\/p>\n\n\n\n<p class=\"has-text-align-justify\">Sempre s\u2019ha suposat que Erat\u00f2stenes va utilitzar la mesura de l\u2019estadi egipci (a cada estat les mesures eren diferents), que equival a 156,9 metres, per calcular la circumfer\u00e8ncia de la Terra. Aix\u00f2 dona una circumfer\u00e8ncia de 39 225 metres. Tenint en compte que la circumfer\u00e8ncia real \u00e9s de 40 008 kil\u00f2metres, podem afirmar que Erat\u00f2stenes (amb els escassos recursos de l\u2019\u00e8poca) va obtenir un resultat amb excel\u00b7lent exactitud: menys d\u2019un 2% d\u2019error.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p><strong>Entrades Similars:<\/strong><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/el-big-freeze-la-mort-gelida-de-lunivers\/\"><a href=\"http:\/\/www.cosmoespai.com\/cat\/la-terra-saprima-57-000-tones-cada-any\/\">La Terra s\u2019aprima 57 000 tones cada any<\/a><\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/com-sabem-que-lunivers-sesta-expandint\/\"><a href=\"http:\/\/www.cosmoespai.com\/cat\/que-passaria-si-la-terra-deixes-de-rotar\/\">Qu\u00e8 passaria si la Terra deix\u00e9s de rotar?<\/a><\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/que-proposa-la-teoria-del-big-rip\/\"><a href=\"http:\/\/www.cosmoespai.com\/cat\/per-que-plantar-arbres-no-salvara-el-planeta\/\">Per qu\u00e8 plantar arbres no salvar\u00e0 el planeta?<\/a><\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/el-big-crunch-quan-tot-torni-al-comencament\/\"><a href=\"http:\/\/www.cosmoespai.com\/cat\/valles-marineris-el-gran-canyo-de-mart\/\">Valles Marineris: el Gran Cany\u00f3 de Mart<\/a><\/a><\/p>\n\n\n\n<p><strong>Entrades Populars:<\/strong><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2020\/09\/09\/perque-la-lluna-nomes-ens-ensenya-una-cara\/\">Perqu\u00e8 la Lluna nom\u00e9s ens ensenya una cara?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2020\/12\/11\/stephenson-2-18-lestrella-mes-gran-coneguda-a-lunivers\/\">Stephenson 2-18, l\u2019estrella m\u00e9s gran coneguda a l\u2019univers<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/01\/29\/lexplotacio-minera-al-cinturo-dasteroides-una-font-de-recursos\/\">L\u2019explotaci\u00f3 minera al cintur\u00f3 d\u2019asteroides, una font de recursos<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/02\/05\/la-brossa-espacial-un-gran-problema\/\">La brossa espacial, un gran problema<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/05\/14\/com-es-van-extingir-els-dinosaures\/\">Com es van extingir els dinosaures?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/04\/09\/que-passaria-si-la-terra-deixes-de-rotar\/\">Qu\u00e8 passaria si la Terra deix\u00e9s de rotar?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/02\/19\/la-missio-a-venus-de-la-sonda-venus-express-per-la-esa\/\">La missi\u00f3 a Venus de la sonda Venus Express per la ESA<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/01\/08\/quins-son-els-requisits-per-a-ser-un-planeta\/\">Quins s\u00f3n els requisits per a ser un planeta?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/01\/01\/perque-no-es-poden-sentir-sons-a-lespai\/\">Perqu\u00e8 no es poden sentir sons a l\u2019espai?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2020\/10\/10\/quina-mida-i-forma-tindrien-els-extraterrestres\/\">Quina mida i forma tindrien els extraterrestres?<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.cosmoespai.com\/cat\/2021\/04\/02\/les-unitats-de-mesura-que-fem-servir-en-astronomia\/\">Les unitats de mesura que fem servir en astronomia<\/a><\/p>\n\n\n\n<p><strong>Entrades Recents:<\/strong><\/p>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.cosmoespai.com\/cat\/com-viatjar-al-futur-sense-violar-les-lleis-de-la-fisica\/\">Com Viatjar al Futur Sense Violar les Lleis de la F\u00edsica<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.cosmoespai.com\/cat\/que-es-la-gravetat\/\">Qu\u00e8 \u00e9s la gravetat?<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.cosmoespai.com\/cat\/per-que-hi-ha-mes-materia-que-antimateria-a-lunivers\/\">Per qu\u00e8 hi ha m\u00e9s mat\u00e8ria que antimat\u00e8ria a l\u2019univers?<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.cosmoespai.com\/cat\/que-es-lantimateria\/\">Qu\u00e8 \u00e9s l\u2019antimat\u00e8ria?<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.cosmoespai.com\/cat\/per-que-els-centres-de-les-galaxies-contenen-forats-negres\/\">Per qu\u00e8 els centres de les gal\u00e0xies contenen forats negres?<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Gr\u00e0cies als enormes aven\u00e7os de la tecnologia en els \u00faltims anys, hem pogut enviar sat\u00e8l\u00b7lits en \u00f2rbita, i mesurar de manera precisa la circumfer\u00e8ncia de<span class=\"read-more-link\"><a class=\"read-more\" href=\"https:\/\/www.cosmoespai.com\/cat\/qui-va-mesurar-la-circumferencia-de-la-terra-per-primer-cop\/\">Continuar llegint<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":579,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":""},"categories":[1,134],"tags":[543,355,536,539,540,538,541,537,542],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/03\/Mesura_CircumferenciaTerra.jpg?fit=720%2C405","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":637,"url":"https:\/\/www.cosmoespai.com\/cat\/quina-edat-te-la-terra\/","url_meta":{"origin":572,"position":0},"title":"Quina edat t\u00e9 la Terra?","author":"Ferran","date":"29 de maig de 2022","format":false,"excerpt":"En comparaci\u00f3 a la vida humana, la Terra t\u00e9 una edat incre\u00efblement m\u00e9s gran. Al llarg de la hist\u00f2ria, i amb desenvolupaments tecnol\u00f2gics que permeten mesures cada cop m\u00e9s precises, s\u2019ha pogut establir l\u2019edat de la Terra amb molta precisi\u00f3. Les dificultats associades Tot i que en un primer moment,\u2026","rel":"","context":"A &quot;La Terra&quot;","block_context":{"text":"La Terra","link":"https:\/\/www.cosmoespai.com\/cat\/category\/sistema-solar\/la-terra\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/05\/Edat_Terra.jpg?fit=720%2C405&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/05\/Edat_Terra.jpg?fit=720%2C405&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/05\/Edat_Terra.jpg?fit=720%2C405&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/05\/Edat_Terra.jpg?fit=720%2C405&resize=700%2C400 2x"},"classes":[]},{"id":852,"url":"https:\/\/www.cosmoespai.com\/cat\/com-ens-afecta-la-frenada-del-nucli-de-la-terra\/","url_meta":{"origin":572,"position":1},"title":"Com ens afecta la frenada del nucli de la Terra?","author":"Ferran","date":"12 de febrer de 2023","format":false,"excerpt":"Com vam explicar a l\u2019article anterior, dos ge\u00f2legs xinesos han arribat recentment a la conclusi\u00f3 de que el nucli intern de la Terra s\u2019ha frenat, i que ara gira m\u00e9s poc a poc que la resta de la Terra. Per sort, aquest canvi en la velocitat del nucli terrestre no\u2026","rel":"","context":"A &quot;La Terra&quot;","block_context":{"text":"La Terra","link":"https:\/\/www.cosmoespai.com\/cat\/category\/sistema-solar\/la-terra\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Efectes_FrenadaNulciTerra.jpg?fit=720%2C405&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Efectes_FrenadaNulciTerra.jpg?fit=720%2C405&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Efectes_FrenadaNulciTerra.jpg?fit=720%2C405&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Efectes_FrenadaNulciTerra.jpg?fit=720%2C405&resize=700%2C400 2x"},"classes":[]},{"id":847,"url":"https:\/\/www.cosmoespai.com\/cat\/el-centre-de-la-terra-sha-frenat-i-gira-en-sentit-contrari\/","url_meta":{"origin":572,"position":2},"title":"El centre de la Terra s\u2019ha frenat i gira en sentit contrari","author":"Ferran","date":"6 de febrer de 2023","format":false,"excerpt":"Com ja \u00e9s not\u00edcia des de fa uns dies, un equip de sism\u00f2legs xinesos, format per Yi Yang i Xiaodong Song, va publicar un article a la revista cient\u00edfica de Nature Geoscience el 23 de gener de 2023, on anunciaven que el nucli de la Terra s\u2019ha frenat, i que\u2026","rel":"","context":"A &quot;La Terra&quot;","block_context":{"text":"La Terra","link":"https:\/\/www.cosmoespai.com\/cat\/category\/sistema-solar\/la-terra\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Frenada_Nucli_Terra.jpg?fit=720%2C405&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Frenada_Nucli_Terra.jpg?fit=720%2C405&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Frenada_Nucli_Terra.jpg?fit=720%2C405&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2023\/02\/Frenada_Nucli_Terra.jpg?fit=720%2C405&resize=700%2C400 2x"},"classes":[]},{"id":647,"url":"https:\/\/www.cosmoespai.com\/cat\/on-se-situa-el-limit-del-sistema-solar\/","url_meta":{"origin":572,"position":3},"title":"On se situa el l\u00edmit del sistema solar?","author":"Ferran","date":"10 de juny de 2022","format":false,"excerpt":"El nostre sistema solar est\u00e0 compost pel Sol, 8 planetes que l\u2019orbiten, molts m\u00e9s planetes nans, i dos cinturons d\u2019asteroides. Com passa amb moltes preguntes en l\u2019\u00e0mbit de la ci\u00e8ncia, la resposta \u00e9s m\u00e9s complicada del que sembla, i no sempre hi ha una resposta \u00fanica. M\u00e9s enll\u00e0 de la\u2026","rel":"","context":"A &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.cosmoespai.com\/cat\/category\/general\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/06\/Final_SistemaSolar.jpg?fit=720%2C405&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/06\/Final_SistemaSolar.jpg?fit=720%2C405&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/06\/Final_SistemaSolar.jpg?fit=720%2C405&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2022\/06\/Final_SistemaSolar.jpg?fit=720%2C405&resize=700%2C400 2x"},"classes":[]},{"id":497,"url":"https:\/\/www.cosmoespai.com\/cat\/valles-marineris-el-gran-canyo-de-mart\/","url_meta":{"origin":572,"position":4},"title":"Valles Marineris: el Gran Cany\u00f3 de Mart","author":"Ferran","date":"19 de novembre de 2021","format":false,"excerpt":"El Gran Cany\u00f3 (el conegut congost format pel riu Colorado al nord de l\u2019estat d\u2019Arizona), \u00e9s una important atracci\u00f3 tur\u00edstica dels Estats Units, per\u00f2, no obstant, aquest es queda curt si el comparem amb Valles Marineris, el sistema de canyons m\u00e9s gran de Mart, i, fins i tot, de tot\u2026","rel":"","context":"A &quot;Mart&quot;","block_context":{"text":"Mart","link":"https:\/\/www.cosmoespai.com\/cat\/category\/sistema-solar\/mart\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2021\/11\/Valles_Marineris.jpg?fit=720%2C405&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2021\/11\/Valles_Marineris.jpg?fit=720%2C405&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2021\/11\/Valles_Marineris.jpg?fit=720%2C405&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.cosmoespai.com\/cat\/wp-content\/uploads\/2021\/11\/Valles_Marineris.jpg?fit=720%2C405&resize=700%2C400 2x"},"classes":[]},{"id":642,"url":"https:\/\/www.cosmoespai.com\/cat\/biografia-de-stephen-hawking\/","url_meta":{"origin":572,"position":5},"title":"Biografia de Stephen Hawking","author":"Ferran","date":"4 de juny de 2022","format":false,"excerpt":"Stephen Hawking va ser un important f\u00edsic te\u00f2ric brit\u00e0nic, que durant gran part de la seva vida va sofrir d\u2019una discapacitat motora neuronal que li impedia la mobilitat. 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