1. In cartesian tangent plane coordinates, derive the horizontal divergence and the ver- tical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2nsin[po+ (y/Re)] where Re = radius of the Earth and the latitude = o+y/Re. In or- der to avoid having to make assumptions about p, use the pressure-coordinate (i.e. geopotential) formulation for the geostrophic wind. [Not in Holton]
1. In cartesian tangent plane coordinates, derive the horizontal divergence and the ver- tical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2nsin[po+ (y/Re)] where Re = radius of the Earth and the latitude = o+y/Re. In or- der to avoid having to make assumptions about p, use the pressure-coordinate (i.e. geopotential) formulation for the geostrophic wind. [Not in Holton]
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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![1. In cartesian tangent plane coordinates, derive the horizontal divergence and the ver-
tical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2nsin[po+
(y/Re)] where Re = radius of the Earth and the latitude = o+y/Re. In or-
der to avoid having to make assumptions about p, use the pressure-coordinate (i.e.
geopotential) formulation for the geostrophic wind. [Not in Holton]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe21c2da-1e2e-4e5d-afbd-94e639579689%2F8f45598f-e379-4d64-8b35-1d16c6e19511%2Fqaywmp_processed.png&w=3840&q=75)
Transcribed Image Text:1. In cartesian tangent plane coordinates, derive the horizontal divergence and the ver-
tical vorticity of the geostrophic wind assuming (a) f is constant (b) f = 2nsin[po+
(y/Re)] where Re = radius of the Earth and the latitude = o+y/Re. In or-
der to avoid having to make assumptions about p, use the pressure-coordinate (i.e.
geopotential) formulation for the geostrophic wind. [Not in Holton]
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