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Gravitational force
The defining property that everything that has mass in the universe is attracted to everything else
Gravity force
The attractive force that pulls everything with mass together
What’s the difference between gravitational force and gravity
Gravity is the phenomenon of attraction while GF is a measurable, quantitative force between two objects
DaVa/Dt = DV/Dt + 2(omega) x V - (omega)²R
Equations of Motion = acceleration + coriolis - centripetal
Base units of the mks metric system
mks (meter/kilogram/second)
What is a derived unit
A quantity determined by multiplying or dividing basic quantities/units
Three conserved quantities
Conservation of mass
Conservation of momentum
Internal energy
Vector V in three dimensions
x,y,z
Whys is the Coriolis acceleration in the vertical ignored even though its magnitude is similar to the horizontal Coriolis acceleration
Because it is negligibly small compared to gravity and other vertical pressure forces
Dot products vs. scalar products
Dot product produces scalar results
Cross product produces scalar results
What are these terms:
DV/DT = -2(omega) x V - 1/(rho) delp + g + Fr
acceleration = coriolis - PGF + gravity + viscous force
What is the difference between the Hydrostatic Equation and Hypsometric Equation
Hydrostatic describes how pressure decreases instantaneously. Hypsometric is derived and is used to calculate the thickness of an atmospheric layer.
What is the effect of the Coriolis force in the Northern Hemisphere
It deflects (turns) to the right
How does the equation Va = V + (omega) x R arise? What is the physical interpretation
It arises from Dar/Dt = Dr/Dt + (omega) x r
If Da/Dt = 0, we say that the scalar A is
conserved
What is the additional apparent force that acts on an object moving on a rotating sphere. Does this change the speed of motion or just direction
The additional force is the coriolis force. This force only changes the direction.
The vector form of teh horizontal pressure gradient force in (x,y,z) or (x,y,p) coordinates
= -1/rho ( idp/dx + jdp/dy)
Identify these terms:
dT/dt = DT/dt - Vx delT
local tendency = total derivative - advection
How is thickness related to layer mean temperature
Thickness is directly proportional to the mean virtual temperature of an atmosphere layer
Geostrophic balance
The state in which the horizontal pressure gradient force is canceled out by the Coriolis force