Friday, March 18, 2016

Physical Principles: The Hydrostatic Equation

Understanding Weather and Climate (7th Edition) (MasteringMeteorology Series) by Edward Aguado, James E. Burt.





►   Hydrostatic Balance = if the net upwards force is equal to the downward force
─     For an atmosphere in hydrostatic balance, the balance of forces in the vertical requires that…
►   Or, the Hydrostatic Equation:
─     The negative sign ensures that the pressure decreases with increasing height
─     Because
 we can rearrange the hydrostatic equation to give…

►   Above a fixed point on Earth…
─     That is, the pressure at height z is equal to the weight of the air in the vertical column of unit cross-sectional are lying about that level.

Hydrostatic Equilibrium
►   Pressure gradient force causes wind to flow from high to low pressure
►   Air pressure rapidly decreases with altitude
►   Gravity pulls all mass, including the atmosphere, downward.
►   Hydrostatic Equilibrium = vertical pressure gradient force and the force of gravity are normally of nearly equal value and operate in opposite directions
─     When, gravitational force = vertical pressure gradient force in magnitude à no vertical acceleration occurs
─     When, gravitational force > vertical pressure gradient force à downward motion
When, gravitational force < vertical pressure gradient force à updrafts can develop that are associated with powerful thunderstorms

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