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The Beautiful Roles of the Earth

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Title: The Beautiful Roles of the Earth


1
The Beautiful Roles of the Earths Rotation
  • Every thing can be beautiful for a pure heart
    in a clear hand! The climate rhythm is beautiful
    abundant music even if proud hands pollute our
    environment, destroy atomsstructure, and send
    the nuclear empoison into above the tropopause
    where there is no water available for cleaning.
    The global warming in a century seems ok for a
    geological process, were nothing but partial
    phase of little ice age, and would be drawn
    back to the normal by the negative feedbacks
    strong enough triggered someday. However, if we
    are sure that our activities matter to this
    warming, even half degree of warming should be
    big enough to cause our concern about our
    environment. It is feasible for each person to do
    something from now on for saving our environment.
    Saving a piece of paper is saving trees and
    reducing the paper-making associated pollutions.
  • Capriccio from Physical Oceanography
  • Joseph Wang

2
1. Sustaining Rotation of the Earth
  • 1-1.Rotation associated Coriolis force does not
    do the work on the objects (fluids) at any time
    therefore, the rotating system does not consume
    ones energy and keeps ones original angular
    momentum.
  • Coriolis force and its work on the objects
  • 1-2.Rotation velocity does not change much even
    though bothered by abnormal mass distribution on
    the surface.

3
  • Similar force exists in magnetic field, but the
    bioelectricity inside our bodies should never be
    bothered by magnetic field.
  • Force from a magnetic field ( ) exerted on a
    charged particle (q) with instantaneous velocity
    ( ) and forces work anytime are,

4
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5
2.Rotation associated Coriolis force maitains a
relatively orderly and steady geophysical motion
and corresponding weather and climate.
  • Coriolis force balances most of gradient
    force to produce geotrophic motion ( ) moving
    along iso-bars, keeping most fluids from moving
    from high to low pressure. Coriolis force
    associated Ekman transport ( ) makes fluids
    from low to high.

6
3.Rotation associated geotrophic motion increases
the predicability of geophysical fluids as it
causes geotrophic motion waves (Kelvin,Rossiby,
inertial, etc.).
  • The curvature force friction
    are small. Coriolis force and pressure gradient
    force are two main items in kinetic balance,
    which dwarf the nonlinear item. Without Coriolis
    force, pressure gradient force would be very
    small, the horizontal kinetic equation would be,
  • The nonlinear item stands up, making the
    geophysical motion much more unpredicable.

7
4.The Earths rotation can muffle the Sun-Moon
gravitation-induced flow keep the geophysical
fluids from heaping onto a fixed direction, for
fluids of small viscidity the vertical speed of
which can increase by 29 (for the Moon) to 365
(for the Sun) times if without rotation. This
maybe is one of the reasons why there is no
fluids on the Moons surface. For solids or
fluids of very big viscidity, rotation does not
that matter.
  • The ratio btn the momentums in x z
    directions under the Suns or Moons attraction
    without and with Earths rotation can be
    estimated as,
  • For fluids of small viscidity, the
    vertical speed can increase by ( 365 for the
    Sun, 29 for the Moon) times. For solids or
    fluids of very big viscidity , rotation does not
    that matter.
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