9 Problem 1. (25 pts) Let V = (u-u,)i + (vv) represent the ageostrophic wind, that...

   

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9 Problem 1. (25 pts) Let V₁ = (u-u,)i + (vv) represent the ageostrophic wind, that is, the deviation of horizontal velocity from geostrophic wind (U, = ugi + vgj). Let 7 = ri + y) + pk represent the position vector and U = ui + vj + wk represent the velocity vector in pressure coordinates. Show that the vertical motion in pressure coordinates is given by: др +₁ up+w²7 = ليا др Ət where up (Op/ax) + (Op/ay) is horizontal pressure gradient in height coordinates, and w is the vertical velocity component in height coordinates. 9 Problem 1. (25 pts) Let V₁ = (u-u,)i + (vv) represent the ageostrophic wind, that is, the deviation of horizontal velocity from geostrophic wind (U, = ugi + vgj). Let 7 = ri + y) + pk represent the position vector and U = ui + vj + wk represent the velocity vector in pressure coordinates. Show that the vertical motion in pressure coordinates is given by: др +₁ up+w²7 = ليا др Ət where up (Op/ax) + (Op/ay) is horizontal pressure gradient in height coordinates, and w is the vertical velocity component in height coordinates.

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given ww the ageostrophic winds equation can be given as J UUg VUg the agenstrophic d... View the full answer