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Notes on Atmospheric Forces and Wind: 4/7 Discussion

Wind and Atmospheric Force Balances

  • Pressure Gradient Force (PGF)

    • Acts from high to low pressure.

  • Real Wind

  • Friction

  • Geostrophic Wind

  • Coriolis Force

    • Deflects wind to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.

Why Do We Have Wind?

  • Differential Heating: Imbalance from solar radiation leading to temperature differences.

  • Pressure Relationship: P = ho R T.

    • Density ($
      ho$), gas constant ($R$), temperature ($T$).

  • Balance in the Atmosphere: Constant attempt to maintain equilibrium.

Forces in the Atmosphere

  • Key Forces:

    • Pressure Gradient Force (PGF): Result of pressure differences.

    • Coriolis Force: Caused by the Earth's rotation, affects wind direction.

    • Frictional Force: Resistance from the Earth's surface.

    • Centrifugal Force: Effects of rotating systems.

Understanding Gradients

  • Definition: A gradient indicates a change between two points (e.g., temperature, pressure, height).

  • Example: Movement from higher to lower height is walking down a gradient.

Pressure Gradient Force

  • Formula:
    PGF = \frac{\Delta Pressure}{\Delta Distance}.

  • Characteristics:

    • Always points from high to low pressure.

    • Stronger where isobars (or heights) are closer together.

Pressure Gradient Force at Upper Levels

  • Involves height gradients, not just pressure gradients.

  • Direction is down the height gradient.

  • Formula:
    PGF = \frac{\Delta Height}{\Delta Distance}.

Coriolis Force

  • Characteristics:

    • Apparent force due to Earth's rotation.

    • Turns right in the Northern Hemisphere and left in the Southern Hemisphere.

    • Maximum deflection occurs at poles.

    • No deflection at the equator.

Geostrophic Balance

  • Definition: Equilibrium between Pressure Gradient Force and Coriolis Force.

  • Friction: Minimal in upper atmosphere, leading to balance.

  • Wind Direction: Flows parallel to isobars with low pressure to the left.

Surface Winds and Friction

  • Surface Effects: Friction alters wind direction.

  • Frictional Force: Acts against the wind direction due to surface drag.

  • Balancing Forces: The magnitude of Coriolis and Friction must balance PGF.

Mass Continuity in the Atmosphere

  • Convergence: If air is forced into a low-pressure area, it must rise, causing potential cloud formation.

  • Divergence: Air moves outward from high pressure, leading to sinking and warming, typically no clouds.

  • Cycle of Air: Sinking and rising motions lead to weather patterns and conditions.