Paraboloid: Difference between revisions
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<div class="definition"><div class="short_definition">( | <div class="definition"><div class="short_definition">(''Or'' equilibrium paraboloid.) The geometrical figure obtained by rotating a parabola about its axis.</div><br/> <div class="paragraph">In experimental meteorology and [[oceanography]] such a figure is sometimes used as the lower boundary of a [[model atmosphere]] or ocean, and is especially important because, at a proper rotation rate, it is an [[equipotential surface]] for [[apparent gravity]] in the [[model]]. If ω is the rotation rate of the apparatus, ''g'' the [[acceleration]] of local earth's [[gravity]], ''z'' the coordinate parallel to the vertical rotation axis, and ''r'' the radial coordinate, an equilibrium paraboloid is given by <div class="display-formula"><blockquote>[[File:ams2001glos-Pe1.gif|link=|center|ams2001glos-Pe1]]</blockquote></div> This surface is the laboratory equivalent of the spheroidal equipotential surfaces of the earth's apparent gravity field.</div><br/> </div> | ||
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Latest revision as of 15:48, 20 February 2012
paraboloid[edit | edit source]
(Or equilibrium paraboloid.) The geometrical figure obtained by rotating a parabola about its axis.
In experimental meteorology and oceanography such a figure is sometimes used as the lower boundary of a model atmosphere or ocean, and is especially important because, at a proper rotation rate, it is an equipotential surface for apparent gravity in the model. If ω is the rotation rate of the apparatus, g the acceleration of local earth's gravity, z the coordinate parallel to the vertical rotation axis, and r the radial coordinate, an equilibrium paraboloid is given by This surface is the laboratory equivalent of the spheroidal equipotential surfaces of the earth's apparent gravity field.