2. Show that the divergence of the geostrophic wind is – v,(cot 4)/a if the variations in ƒwith latitude are accounted for (i.e., use the full definition of the Coriolis parameter f = 20 sin p). To derive this relationship, recall that on a spherical planet, the distance north is y = ap, where o is latitude (in radians) and a is the radius of Earth (6,370,000 m). Thus, a derivative in y can be expressed as a derivative in latitude o via the following relationship: a 1 a а дф ду

2. Show that the divergence of the geostrophic wind is – v,(cot 4)/a if the variations in ƒwith latitude are accounted for (i.e., use the full definition of the Coriolis parameter f = 20 sin p). To derive this relationship, recall that on a spherical planet, the distance north is y = ap, where o is latitude (in radians) and a is the radius of Earth (6,370,000 m). Thus, a derivative in y can be expressed as a derivative in latitude o via the following relationship: a 1 a а дф ду