Hydrostatic equation: Difference between revisions
m (Rewrite with Template:Term and clean up) |
Ametsocadmin (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
{{DISPLAYTITLE:hydrostatic equation}} | |||
The form assumed by the vertical component of the [[vector]] equation of motion when all [[Coriolis force|Coriolis]], earth curvature, frictional, and vertical [[acceleration]] terms are considered negligible compared with those involving the vertical [[pressure force]] and the [[force of gravity]].<br/> Thus <blockquote>[[File:ams2001glos-He24.gif|link=|center|ams2001glos-He24]]</blockquote> where ''p'' is the [[pressure]], ρ the [[density]], ''g'' the [[acceleration of gravity]], and ''z'' the geometric height. For cyclonic-scale motions the [[error]] committed in applying the hydrostatic equation to the [[atmosphere]] is less than 0.01%. Strong vertical accelerations in thunderstorms and mountain waves may be 1% of [[gravity]] or more in extreme situations.<br/> | The form assumed by the vertical component of the [[vector]] equation of motion when all [[Coriolis force|Coriolis]], earth curvature, frictional, and vertical [[acceleration]] terms are considered negligible compared with those involving the vertical [[pressure force]] and the [[force of gravity]].<br/> Thus <blockquote>[[File:ams2001glos-He24.gif|link=|center|ams2001glos-He24]]</blockquote> where ''p'' is the [[pressure]], ρ the [[density]], ''g'' the [[acceleration of gravity]], and ''z'' the geometric height. For cyclonic-scale motions the [[error]] committed in applying the hydrostatic equation to the [[atmosphere]] is less than 0.01%. Strong vertical accelerations in thunderstorms and mountain waves may be 1% of [[gravity]] or more in extreme situations.<br/> | ||
Latest revision as of 09:28, 19 April 2024
The form assumed by the vertical component of the vector equation of motion when all Coriolis, earth curvature, frictional, and vertical acceleration terms are considered negligible compared with those involving the vertical pressure force and the force of gravity.
Thus
where p is the pressure, ρ the density, g the acceleration of gravity, and z the geometric height. For cyclonic-scale motions the error committed in applying the hydrostatic equation to the atmosphere is less than 0.01%. Strong vertical accelerations in thunderstorms and mountain waves may be 1% of gravity or more in extreme situations.
ecuación hidrostática[edit | edit source]
La forma que toma el componente vertical de la ecuación vectorial de movimiento cuando todos los términos de Coriolis, curvatura de tierra, fricción y aceleración vertical se consideran insignificantes en comparación con los que involucran la fuerza de presión vertical y la fuerza de gravedad.
Así,
donde p es la presión, ρ la densidad, g la aceleración gravitacional y z la altura geométrica. Para movimientos de escala ciclónica, el error cometido al aplicar la ecuación hidrostática a la atmósfera es menor que 0.01 %. Las aceleraciones verticales fuertes en tormentas eléctricas y ondas de montaña pueden ser del 1 % de la gravedad o más en situaciones extremas.
