In atmospheric studies the motion of the earth's atmosphere can sometimes be modeled with the equation
D→V/Dt+2→Ω x →V = -1/ρ∇p
where →V is the large-scale velocity of the atmosphere across the earth's surface, ∇p is the climatic pressure gradient, and →Ω is the earth's angular velocity. What is the meaning of the term →Ωx→V? Use the pressure difference, Δp, and typical length scale, L (which could, for example, be the magnitude of, and distance between, an atmospheric high and low, respectively), to nondimensionalize this equation. Obtain the dimensionless groups that characterize this flow.