Pressure gradient force



The pressure gradient force is the force that is usually responsible for accelerating a parcel of 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}