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ATOC 4720: class 10ATOC 4720: class 10 1. The hydrostatic equation;1. The hydrostatic equation; 2. Geopotential;2. Geopotential; 3. Scale height, hypsometric eqn;3. Scale height, hypsometric eqn; 4. Thickness & height of constant 4. Thickness & height of constant
pressure surfaces;pressure surfaces; 5. Reduction of pressure to sea 5. Reduction of pressure to sea
levellevel
Physics: P(z) is equal to the weight of the air In the vertial column of unit cross-sectional Area lying above that level.
Geopotential height Z is used as the vertial Coordinate in most atmospheric applications. (e.g., weather map).
Hydrostatic equation can be written as:
: not directly measured.
3. Scale height and the 3. Scale height and the hypsometric equationhypsometric equation
Assume an isothermal and dry atmosphere, Eqn:
and thus,
Hypsometric eqn.
4. Thickness and heights of 4. Thickness and heights of constant pressure surfacesconstant pressure surfaces
Estimate: Using measurement of P,T, humidity at (z) radiosonde data.
Example: Hurricane warm core.
5. Reduction of pressure to 5. Reduction of pressure to sea levelsea level
Mountainous regions, P1 and P2, due to elevation; In order to isolate P change due to weather, we reduce P to sea level.
Z=0 sea level;