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{"id":466,"date":"2021-09-08T06:39:34","date_gmt":"2021-09-08T06:39:34","guid":{"rendered":"http:\/\/ms.iaca.fr\/?p=466"},"modified":"2021-09-08T08:38:50","modified_gmt":"2021-09-08T08:38:50","slug":"fiche-proportionalites","status":"publish","type":"post","link":"http:\/\/ms.iaca.fr\/fiche-proportionalites","title":{"rendered":"FICHE PROPORTIONALIT\u00c9S"},"content":{"rendered":"\n

1 Un paquet de trois ampoules basse consommation co\u00fbte 10 euros. Combien co\u00fbtent neuf ampoules? euros.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un moteur \u00e9lectrique tourne \u00e0 la vitesse de 1 200 tours\/minute. Combien de tours effectue ce moteur en 30 minutes? tours.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un moteur alternatif tourne \u00e0 la vitesse de 20 tours\/seconde. Combien de tours effectue ce moteur en une minute? tours.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un moteur synchrone tourne \u00e0 la vitesse de 1 500 tr\/min. Combien de tours effectue ce moteur en une seconde? tours.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un tour correspondant \u00e0 2 x pi radians, \u00e0 combien de radians correspondent 25 tours (arrondir \u00e0 l’unit\u00e9) ? radians environ.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un marcheur parcourt 2 km en vingt minutes. Quelle distance parcourt-il en une heure? km.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

On mesure 100 V aux bornes d’une r\u00e9sistance travers\u00e9e par un courant d’intensit\u00e9 5A. Quelle sera la tension si l’intensit\u00e9 est 1 A? V.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un radiateur \u00e9lectrique consomme une \u00e9nergie de 1,5 kilowattheure (kWh) lorsqu’il fonctionne pendant une demi-heure. Quelle \u00e9nergie consomme-t-il pendant quatre heures? kWh.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Un moteur \u00e0 courant continu \u00e0 flux constant d\u00e9veloppe un couple \u00e9lectromagn\u00e9tique de 14 Nm lorsqu’il absorbe 6 A. Quel courant doit-il absorber pour un couple de 21 Nm ? (le couple est proportionnel \u00e0 l’intensit\u00e9) A.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Le m\u00eame moteur, soumis \u00e0 une force \u00e9lectromotrice (f.e.m.) de 12 V, tourne \u00e0 25 tr\/s. Quelle est la f.e.m. lorsqu’il tourne \u00e0 1 250 tr\/min? (la f.e.m et la vitesse en tr\/s sont proportionnelles) V.<\/p>\n\n\n\n

r\u00e9ponse<\/p>\n\n\n\n

Trace \u00e9crite<\/strong><\/p>\n\n\n\n

\u2713 Une situation de proportionnalit\u00e9, c\u2019est : lorsqu’on multiplie (ou divise) toujours <\/strong>par le m\u00eame nombre (coefficient) par passer d’un nombre \u00e0 l’autre.
\u2713 Identifier : les 2 unit\u00e9s
\u2713 V\u00e9rifier : si un nombre est \u00e9gale \u00e0 z\u00e9ro, l’autre est \u00e9gale \u00e0 z\u00e9ro<\/p>\n\n\n\n

<\/p>\n\n\n\n

\n
\n

<\/p>\n\n\n\n

Ce que je connais

Ce que je cherche<\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n
\n
\n

unit\u00e9 1
(ex : km)<\/p>\n<\/div>\n\n\n\n

\n

unit\u00e92
(en : heure)<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n
\n
\n
? = \\cfrac{1\u00d72}{3}<\/pre><\/div>\n<\/div>\n\n\n\n
\n
?=\\cfrac{1\u00d73}{2}<\/pre><\/div>\n<\/div>\n\n\n\n
\n
?=\\cfrac{1\u00d73}{2}<\/pre><\/div>\n<\/div>\n\n\n\n
\n
?=\\cfrac{1\u00d73}{2}<\/pre><\/div>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

1 Un paquet de trois ampoules basse consommation co\u00fbte 10 euros. Combien co\u00fbtent neuf ampoules? euros. r\u00e9ponse Un moteur \u00e9lectrique tourne \u00e0 la vitesse de 1 200 tours\/minute. Combien de tours effectue ce moteur en 30 minutes? tours. r\u00e9ponse Un moteur alternatif tourne \u00e0 la vitesse de 20 tours\/seconde. Combien de tours effectue ce moteur … <\/p>\n