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Cambio de unidades

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Cómo utilizar factores de conversión para cambiar las unidades de una magnitud.

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Cambio de unidades

  1. 1. Cambio de unidades con FACTORES DE CONVERSIÓN
  2. 2. Múltiplos y submúltiplos ¿Tendría sentido medir el tamaño de un bolígrafo en kilómetros? ¿Y el de el recorrido de un viaje a Francia en centímetros? Es necesario utilizar las unidades correctas cuando expresemos cantidades.
  3. 3. Para cambiar de unidades... ... vamos a utilizar FACTORES DE CONVERSIÓN, que son una serie de fracciones que multiplican a las unidades de las que partimos, y que las convierten en lo que nos interesa .
  4. 4. El ejemplo: Queremos pasar 100 km/h a m/s : Primero multiplico por un factor que tenga una de las unidades que quiero quitar en el lado contrario de la fracción.
  5. 5. El ejemplo: Por ejemplo, empezamos con los kilómetros. km Numerador Denominador . Queremos pasar 100 km/h a m/s :
  6. 6. El ejemplo: Y ponemos las unidades que queremos tener en su lugar, en nuestro caso son metros . km m . Queremos pasar 100 km/h a m/s :
  7. 7. El ejemplo: Después ponemos la correspondencia numérica entre ambas unidades: en nuestro caso, 1 km son 1000 m . km m 1000 1 . Queremos pasar 100 km/h a m/s :
  8. 8. El ejemplo: km m 1000 1 Este es el primer factor de conversión . Queremos pasar 100 km/h a m/s :
  9. 9. El ejemplo: km m 1000 1 Ahora, podemos eliminar aquello que esté multiplicando y dividiendo a la vez. . Queremos pasar 100 km/h a m/s :
  10. 10. El ejemplo: km m 1000 1 Para cambiar horas por segundos, sólo tenemos que repetir el proceso . . Queremos pasar 100 km/h a m/s :
  11. 11. El ejemplo: km m 1000 1 Ponemos las horas en el lado contrario, y los segundos en su lugar. h s Numerador . . Denominador Queremos pasar 100 km/h a m/s :
  12. 12. El ejemplo: km m 1000 1 Y ahora la correspondencia: 1 h son 3600 s . h s . . 1 3600 Queremos pasar 100 km/h a m/s :
  13. 13. El ejemplo: km m 1000 1 h s . . 1 3600 Este es el segundo factor de conversión Queremos pasar 100 km/h a m/s :
  14. 14. El ejemplo: km m 1000 1 h s . . 1 3600 Ahora, podemos volver a eliminar aquello que esté multiplicando y dividiendo a la vez: las horas . = Queremos pasar 100 km/h a m/s :
  15. 15. El ejemplo: km m 1000 1 h s . . 1 3600 Las únicas unidades que quedan son en el numerador m y en el denominador s : lo que buscábamos... = Queremos pasar 100 km/h a m/s :
  16. 16. El ejemplo: km m 1000 1 h s . . 1 3600 De modo que queda: 100· 1000 m 3600 s = 27,78 m/s = Nota: Los 1 que multiplican, se eluden. Queremos pasar 100 km/h a m/s :
  17. 17. Para aprender... ... debes seguir practicando. Haz las siguientes conversiones: a) 50000 cm 3 a L b) 3·10 8 m/s a km/h c) 4980 segundos a horas decimales y a horas minutos segundos d) 6,48·10 4 km/h 2 a m/s 2 Soluciones: a)50L , b)1,08·10 9 km/h, c)1,38h y 1º 23' 0'', d) 5m/s 2 Cosas que debes saber: <ul><li>1mL=1cm 3 1L=1 dm 3 </li></ul><ul><li>Cuando tengas potencias en numerador o denominador, puedes expresarlas como el producto de sus bases: h 2 = h·h. Así, podrás reemplazar unidad a unidad: cada h por s, quedando al final s·s = s 2 . </li></ul>
  18. 18. Si esta presentación te ha ayudado, agradecería que me dejaras un comentario en Slideshare.net o en mi blog ;-) Aida Ivars Rodríguez, [email_address] http://aidaivars.wordpress.com Esta obra está bajo una licencia Creative Commons BY-NC-SA

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