Atmospheric pressure

Atmospheric pressure and wind are both significant controlling factors of Earth’s weather and climate. Although these two physical variables may at first glance appear to be quite different, they are in fact closely related. Wind exists because of horizontal and vertical differences (gradients) in pressure, yielding a correspondence that often makes it possible to use the pressure distribution as an alternative representation of atmospheric motions. Pressure is the force exerted on a unit area, and atmospheric pressure is equivalent to the weight of air above a given area on Earth’s surface or within its atmosphere. This pressure is usually expressed in millibars (mb; 1 mb equals 1,000 dynes per square cm) or in kilopascals (kPa; 1 kPa equals 10,000 dynes per square cm). Distributions of pressure on a map are depicted by a series of curved lines called isobars, each of which connects points of equal pressure.

Wind

The changing wind patterns are governed by Newton’s second law of motion, which states that the sum of the forces acting on a body equals the product of the mass of that body and the acceleration caused by those forces. The basic relationship between atmospheric pressure and horizontal wind is revealed by disregarding friction and any changes in wind direction and speed to yield the mathematical relationship

Equation.

where u is the zonal wind speed (+ eastward), v the meridional wind speed (+ northward), f = 2ω sin ϕ (Coriolis parameter), ω the angular velocity of Earth’s rotation, ϕ the latitude, ρ the air density (mass per unit volume), p the pressure, and x and y the distances toward the east and north, respectively. This simple non-accelerating flow is known as geostrophic balance and yields a motion field known as the geostrophic wind. Equation (1) expresses, for both the x and y directions, a balance between the force created by horizontal differences in pressure (the horizontal pressure-gradient force) and an apparent force that results from Earth’s rotation (the Coriolis force). The pressure-gradient force expresses the tendency of pressure differences to effectuate air movement from higher to lower pressure. The Coriolis force arises because the air motions are observed on a rotating nearly spherical body. The total motion of a parcel of air has two parts: (1) the motion relative to Earth as if the planet were fixed, and (2) the motion given to the parcel of air by the planet’s rotation. When the atmosphere is viewed from a fixed point in space, Earth’s rotation is apparent. An observer in space would witness the total motion of the atmosphere. Conversely, an observer on the ground sees and measures only the relative motion of the atmosphere, because he is also rotating and cannot see directly the rotational motion applied by Earth. Instead, the observer on the ground sees the effect of the rotation as a deviation applied to the relative motion. The quantity that describes this deviation is the Coriolis force. Because the Coriolis force results from a ground-level frame of reference on a rotating planet, it is not a true force.

Verified answer

Answer:

Wind blows from areas of high pressure toward areas of low pressure. If the high pressure area is very close to the low pressure area, or if the pressure difference is very great, the wind can blow very fast.

There is a close relationship between the pressure and the wind speed. The greater the difference in air pressure between the two points, the steeper is the pressure gradient and greater is the speed of the wind.

Explanation:

I Hope it's clear