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
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Transcribed Image Text:2. Show that the divergence of the geostrophic wind is – v,(cot $)/a if the
variations in fwith latitude are accounted for (i.e., use the full definition of
the Coriolis parameter f = 2.0 sin p). To derive this relationship, recall that
on a spherical planet, the distance north is y = aø, where ø 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
ду
а дф
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