Lesson 1
Chapters 1 & 2
Lesson 2
Chapter 3 & Instrument Supplement
Lesson 3
Weather Maps
Lesson 4
Chapter 4
Lesson 5
Chapter 5
Lesson 6
Chapter 6
Lesson 7
Chapter 7
Lesson 8
Chapter 8
Lesson 9
Chapter 9
Lesson 10
Chapter 10
Lesson 11
Wind Shear and Turbulence
Lesson 12
Icing
Lesson 13
Visibility
Lesson 14
Case Study/Self-Briefing
Lesson 15
Case Study/Self-Briefing
Lesson 16
Case Study/Self-Briefing

LESSON 4

Geostrophic and Gradient Winds - Observations of Upper Air Winds

The figure above is a map of the 300 mb pressure surface. Let's make three observations.

  1. The winds are fastest where the spacing of the isolines is smallest. This is expected as it is in these regions where the pressure gradient force is largest. But the pressure gradient force is acting towards low heights, and thus the wind is not blowing in the direction the pressure gradient force is acting. Another force must be acting to change the wind direction.
  2. The winds blow parallel to the isolines of constant height. Imagine putting your back to the wind, low heights, and thus low pressures, are always to your left (since we are in the Northern Hemisphere). This relationship between wind and pressure is called is Buys-Ballot's Law.
  3. The winds, while meandering, are blowing counterclockwise around the North Pole.

To explain the first two observations consider the following simplified situation

The isolines of constant height are parallel to one another with lower heights at the top of the page. By our observations, the wind is blowing parallel to these lines as drawn. The wind is moving in a straight line parallel to these isolines. Also shown in the figure are the forces acting on a parcel of moving air. There are only two forces acting: the pressure gradient force and the Coriolis force. The pressure gradient force acts towards low pressure perpendicular to the lines of constant height while the Coriolis force acts to the right and perpendicular to the wind direction. The two forces are acting in opposite directions and are of equal magnitude. A wind that results from a balance between the pressure gradient and Coriolis forces is called a geostrophic wind. When forces are in balance, there is no net force. How does the air move if the two forces are balanced?

To answer this question imagine an air parcel released from rest as in the following figure

Initially, since the parcel is at rest, the Coriolis force is zero. The pressure gradient results in a force that accelerates the parcel of air towards lower pressures. Initially the parcel moves in the direction of the pressure gradient force perpendicular to the isoheights. Once the parcel begins to move, the Coriolis force acts to deflect the parcel's path to the right, assuming we are in the Northern Hemisphere. As the wind speed increases because of the pressure gradient force, the Coriolis force strengthens and moves the parcel causing the parcel to travel in a curved path. Eventually the Coriolis force and the pressure gradient force are equal and acting in opposite directions. Although the net force acting on the parcel of air is zero, the parcel continues to move because of Newton's First Law of Motion. The parcel is in motion and tends to remain in motion. Lower heights are to the left when you face downwind.

In the upper atmosphere winds blow parallel to the isoheights. The winds change direction to remain parallel to the constant-height lines. According to Newton's first law of motion, forces are acting to change the direction of the wind. To explain this consider a simplified situation:

In this case the lines of constant-height are curved and the pressure gradient and Coriolis force are not in balance. The net force is the centripetal force which results in changing the wind direction. The wind is now a result of three forces involved, the pressure gradient, Coriolis and centripetal forces. This type of balance results in a gradient wind.

When the Coriolis force is greater than the pressure gradient force, the wind curves clockwise (in the Northern Hemisphere). The centripetal force points towards regions of higher pressure. When the pressure gradient force exceeds the Coriolis force, the air curves counterclockwise in the Northern Hemisphere (clockwise in the Southern Hemisphere). In this case the centripetal force points towards regions of lower pressure. Thus, in the Northern Hemisphere, winds flow clockwise around regions of high pressure and counterclockwise in regions of low pressure, in agreement with our observations.

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This web based lab section is being developed with assistance from the College of Letters and Science and the Cooperative Institute of Meteorological Satellite Studies.   Material presented is Copyrighted (C) 2000 by Steve Ackerman .  Feel free to use this material for non-profit educational purposes!