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Unformatted text preview: Assignment 3: Mathematical Conversions of Quantities and Units EESA01 Fall 2011 Agenda • Quantities, Dimensions and Units • Prefixes • Scientific Notations • Precision and Accuracy • Significant Digits • Rounding Quantities, Dimensions and Units Quantities: • Distinguished as ‘basic’ and ‘derived’ measuring variables Dimensions: • Arbitrary initials assigned to quantities International System of Units • S.I. units are used so basic and derived quantities are standardized and defined in terms of grams, meters, and seconds, Basic Quantities • Basic quantities, dimensions and units Mass (M): kg Length (L): m Time (T): s Temperature (t): K • Basic quantities can be derived into more complex quantities, dimensions and units ex. Area (L2): m2 and Volume (L3): m3 Derived Quantity: ENERGY Definition: is the capacity or ability to do work. Energy = Work =Force x Distance What does this really mean? • the more energy you have, the more work you can do (e.g. walking, doing school work, etc.) • another way to see it is that work (energy you put into an activity) is the measure of the force you exert multiplied by the distance, or W = F x D. • If you push a really heavy object a certain distance, you do more work than if you push a lighter object that same distance. DIMENSIONS OF ENERGY Energy or Work = Force X Distance = (Mass x Acceleration) X Length = (Mass x Length x Time2) X (Length) = (M x LxT2) X L = M x L2 x T2 OR = kg x m2 x s2 = 1 Joule (S.I. Unit) What is a Joule?? • A Joule is the S.I. unit for Energy and is therefore defined by the equation, J = kg x m2 x s2 • A Joule is the measure of the amount of work or energy expended. 1 Calorie = 4.1868 Joules Note: Calorie is not the SI Unit for energy Derived Quantity: PRESSURE Definition: • For an object sitting on a surface, the force pressing on the surface is the weight of the object, and therefore the object exerts pressure on the surface. Pressure = Force /unit Area = [(Mass x Length x Time2) / Length2] = M x L1xT2 or = kg x m1 x S2 Note: The standard unit for pressure is the Pascal (P), which is a Newton per square meter (N/m2) Summary Force = mass x acceleration =...
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This note was uploaded on 02/29/2012 for the course ENVIRONMEN eesa01 taught by Professor Mitchel during the Fall '11 term at University of Toronto Toronto.
 Fall '11
 Mitchel
 Environmental Science

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