# Chapter 4 Atmospheric Pressure and Wind

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1 Chapter 4 Atmospheric Pressure and Wind Understanding Weather and Climate Aguado and Burt Pressure Pressure amount of force exerted per unit of surface area. Pressure always decreases vertically with height Air pressure is exerted equally in all directions 1

2 Pressure Pressure of the air is proportional to the rate of collisions between the molecules and the wall Increased pressure can result from Increased density Increased temperature Air constantly moves from high to low pressure Vertical and Horizontal Changes in Pressure Vertical Pressure decreases with height A small elevation change at low levels, results in a large pressure change Horizontal Changes are small relative to vertical changes 2

3 Surface Pressure vs. Sea Level Pressure Sea Level Pressure the pressure that would exist if the observation point were at sea level. Surface Pressure the pressure observed at a particular location Ideal gas law Equation of State p = ρrt P = pressure (Pa) ρ = density (kg/m 3 ) T = temperature (K) R = gas constant (287 J/kg k) 3

4 Pressure Measurement Barometer an instrument that measures pressure Mercury barometer Corrections include: elevation, expansion, acceleration of gravity Aneroid barometer No corrections Pressure Gradients Pressure gradient rate of change in pressure with distance Isobar line connecting points with exactly the same sea level pressure Closely spaced isobars indicate a stronger pressure gradient and increased wind speeds Horizontal pressure gradients are small relative to vertical ones. 4

5 Hydrostatic Equilibrium Hydrostatic Equation Δp Δz = ρg Gravity offsets the pressure gradient force which would accelerate the air upwards yielding hydrostatic equilibrium. The Role of Density on Pressure 5

6 Horizontal Pressure Gradients in the Upper Atmosphere Cold columns of air yield lower pressures at a given elevation and produce a horizontal pressure gradient. A given pressure (example: 500 mb) level occurs at a lower elevation (height) for colder columns of air. Horizontal Pressure Gradients in the Upper Atmosphere 6

7 Forces Affecting Wind Speed and Direction Pressure Gradient Force Planetary Rotation (Coriolis Force) Friction Gravity (affects vertical motion) Coriolis Force Our frame of reference is the surface. The rotation of the Earth exerts a real impact on flying objects, causing an apparent deflection in their flight. Equator Motion is translational Poles Motion is rotational 7

8 Coriolis Force Coriolis force deflects all moving objects regardless of their translational direction. Coriolis force is zero at the equator and maximum at the pole. Coriolis force increases with an object s speed. Coriolis force changes only the direction of the moving object. Coriolis Force F c = 2Ωvsinφ F c = Coriolis Force Ω = Earth rotation v = Wind Speed φ = Latitude 8

9 Friction Air in contact with the surface experiences frictional drag, effectively slowing the wind speeds. Planetary Boundary Layer (BL) the lowest ~1.5 km of the atmosphere which experiences friction. Free Atmosphere the remaining atmosphere above the BL which is free from frictional effects. Winds in the Upper Atmosphere Geostrophic wind balance between pressure gradient and Coriolis forces. 9

10 Winds in the Upper Atmosphere Supergeostrophic Coriolis force exceeds the pressure gradient force Subgeostrophic Pressure gradient force exceeds the Coriolis force Winds Near the Surface Wind is slowed by friction Coriolis force is reduced Pressure gradient force exceeds Coriolis force and caused the wind to flow at an angle to the right of the pressure gradient force. 10

11 Anticyclones Enclosed areas of high pressure indicated by closed isobars or height contours Cyclones Enclosed areas of low pressure indicated by closed isobars or height contours 11

12 Troughs and Ridges Surface Map 12

13 Upper Air Map Measuring the Wind Anemometer instrument to measure the wind. 3-cup anemometer Aerovane anemometer Sonic anemometer Hot-wire anemometer 13

14 Measuring the Wind Wind Record 14

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