lec3-10

lec3-10 - 1 Equation Manipulation Equation Manipulation...

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Unformatted text preview: 1 Equation Manipulation Equation Manipulation tom.h.wilson tom.wilson@geo.wvu.edu illustrated around the concept of Isostacy illustrated around the concept of Isostacy Tom Wilson, Department of Geology and Geography Department of Geology and Geography West Virginia University Morgantown, WV Hand in problem 2 13 & 2 15 today Hand in problem 2.13 & 2.15 today Complete your reading of chapter 3 and look over problems 3.10 and 3.11. Tom Wilson, Department of Geology and Geography 2 Chapter 3: Equations and how to manipulate them Most mathematical relationships of interest in geology are outgrowths of basic definitions of quantitative relationships between measured quantities relationships between measured quantities. We manipulate those relationships following basic math rules we learned long ago. Waltham reviews those basic rules in a general way using various geologic examples. In our discussion today we introduce another geologic example that parallels some of Tom Wilson, Department of Geology and Geography introduce another geologic example that parallels some of the points made by Waltham. The geologic example we use as a backdrop for reviewing these old rules is the geologic phenomena of isostacy. Length of a degree of latitude Mass deficiency in the Andes Mountains Everest The Archdeacon and the Knight Mass deficiency ~ mass of mountains Tom Wilson, Department of Geology and Geography Archimedes - a floating body displaces its own weight of water Crust and mantle 3 Airys idea is based on Archimedes Airys idea is based on Archimedes Airys idea is based on Archimedes principle of hydrostatic equilibrium. Archimedes principle states that a floating body displaces its own weight of water. Airys idea is based on Archimedes principle of hydrostatic equilibrium. Archimedes principle states that a floating body displaces its own weight of water. Tom Wilson, Department of Geology and Geography Airy applies Archimedes principle to the flotation of crustal mountain belts in denser mantle rocks. Airy applies Archimedes principle to the flotation of crustal mountain belts in denser mantle rocks. A floating body displaces its A floating body displaces its A floating body displaces its own weight of water. Mathematical Statement A floating body displaces its own weight of water. Mathematical Statement object floating water displaced Mass Mass Tom Wilson, Department of Geology and Geography o w M M 4 o w M M w w w V M o o o V M Apply basic principle apply definition general case o o w w V V Let the floating object be an ice cube and then ask yourself - What is the volume of the displaced water? Let the floating object be an ice cube and then ask yourself - What is the volume of the displaced water? substitution Take a specific case Tom Wilson, Department of Geology and Geography ice ice ice o ice o V M M V V and ; ice o ice ice V cm gm...
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lec3-10 - 1 Equation Manipulation Equation Manipulation...

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