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Unformatted text preview: 1 Meeting 2Sections 1417 2 Dimensions and units The general term dimension provides a physical characterization or measurement of a quantity or system when numerical values and units are assigned to the dimension. Units are magnitudes or quantities assigned to dimensions. Consider the single dimension length which may be quantified with many units (meters, feet, inches, etc. 3 Definitions The special term property replaces dimension in our parlance. PropertyA characteristic of a system to which numerical values and units can be assigned to describe the system. StateCondition of a system defined by its properties. 4 Definitions Extensive propertiesproperties which can be counted, and for which their value for the whole system is the sum of the value for subsystems into which the overall system might be divided. They depend on the extent of the system. Often symbolized with capital letters. 5 Definitions Intensive properties are independent of the size (mass or volume) of the system. Often symbolized by lower case letters. There are many exceptions to the rule about symbols, (P and T, for example) 6 Intensive and extensive properties m V T P 0.5m 0.5V T P 0.5m 0.5V T P Divide system in half 7 Energy Consider a closed system Energy = sum of internal energy, kinetic energy, and potential energy. mgz 2 m U PE KE U E 2 + + = + + = V (Note energy E here is an extensive property). 8 Energy On a unit mass basis, or intensive basis gz 2 u pe ke u e 2 + + = + + = V Every term in the previous equation has been divided through by the mass m. 9 Density...
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 Fall '07
 RAMUSSEN

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