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For the steady horizontal motion of air along a path whose radius of curvature is r , we may write directly the equation (ω r sin λ ± v )2 / r = 1/ρ ∂ p / ∂ r +(ω r sin λ )2 / r , expressing the fact that the part of the centrifugal force arising from the motion of the wind is balanced by the effective gradient of pressure. In the equation p is atmospheric pressure, ρ density, v velocity of moving air, λ is latitude, and ω is the angular velocity of the earth about its axis.

The relation between wind velocity at 1000 metres altitude and the surface pressure distribution