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The pressure gradient force is the force that is usually responsible for accelerating a parcel of air from a high atmospheric pressure region to a low pressure region, resulting in wind. In meteorology, pressure gradient force refers to the horizontal movement of air according to the equation:

$\frac{F_x}{m}=-\frac{1}{\rho}\frac{dp}{dx}$

$\frac{F_y}{m}=-\frac{1}{\rho}\frac{dp}{dy}$

$\frac{F_z}{m}=-\frac{1}{\rho}\frac{dp}{dz}$