Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-905d16fb.min.css.gz): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/css-c98c1eb8.css.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/css-91cb2b62.css.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/css-abaf2444.css.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-2f663186.min.css.json): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 131

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-2f663186.min.css): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 132

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_get_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-2f663186.min.css): failed to open stream: No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-2f663186.min.css.gz): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-8fef08c3.min.js): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 132

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_get_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-8fef08c3.min.js): failed to open stream: No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-header-8fef08c3.min.js.gz): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

ECUACIÓN DE BERNOULLI

En el capítulo sobre la ecuación de continuidad vimos que el volumen que entre en un tubo lleno, es el mismo que sale del tubo. Solo nos interesó las variables de entrada y de salida del líquido.

En este capítulo estudiaremos lo que pase dentro del tubo cualquiera que sea su forma o posición.

De forma muy general el principio de Bernoulli nos dice que:

“La energía que tiene un fluido que circula por un tubo cerrado es constante”

Por supuesto, esta “energía del líquido” tiene otras variables además de la velocidad y el volumen.

PRINCIPIO DE BERNOULLI

El principio de Bernoulli nos dice que la energía total de un fluido que recorre un tubo cerrado es constante en todos los puntos del tubo.

Es decir que la suma de la energía cinética, la energía potencial y la energía interna que tiene un fluido en un punto A es igual a la suma de las mismas energías en cualquier otro punto B.

FORMULA GENERAL DE LA ECUACIÓN DE BERNOULLI

Como ya conocemos la fórmula de la energía cinética y la energía potencial de un fluido, tenemos que:

ECUACIÓN DE BERNOULLI

TEOREMA DE TORRICELLI

El Teorema de Torricelli establece que la velocidad de salida de un fluido por el orificio de un recipiente es la misma que adquiriría un cuerpo que se dejara caer desde una altura igual al nivel de la superficie del líquido en el recipiente hasta el orificio por el que sale el fluido.

ECUACIÓN DEL TEOREMA DE TORRICELLI

Ejemplos del teorema de Torricelli.

1.- Un líquido llena un recipiente de 1.55 m de altura. Si le hacemos un orificio 30cm arriba de su base, ¿a qué velocidad saldrán el líquido por el orificio? (considera g = 10 m/s2).

         Primero determinamos la formula a utilizar:

         Después sustituimos nuestros datos, realizamos las operaciones y obtenemos:

Mas ejemplos, ejercicios y preguntas clave de examen, en nuestras guías digitales.

error: Contenido Protegido !!
Curso para la UNAM

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-ef70246b.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-4679062b.min.js.json): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 131

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-4679062b.min.js): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 132

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_get_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-4679062b.min.js): failed to open stream: No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-4679062b.min.js.gz): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-4457335e.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-476825be.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-f8272c2a.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-da042496.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-328b281e.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-89472adc.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-fc4824ed.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/tmp/js-b3f42f60.js.transient): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 366

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-c2754632.min.js.json): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 131

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-c2754632.min.js): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 132

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23

Warning: file_get_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-c2754632.min.js): failed to open stream: No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: file_put_contents(/homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/cache/wpo-minify/1660621147/assets/wpo-minify-footer-c2754632.min.js.gz): failed to open stream: Disk quota exceeded in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-print.php on line 138

Warning: chmod(): No such file or directory in /homepages/19/d670036061/htdocs/clickandbuilds/CursoparaelExamendelaUnam/wp-content/plugins/wp-optimize/minify/class-wp-optimize-minify-cache-functions.php on line 23