lect_03

# lect_03 - Units Dimensions Symbol Quantity Bold symbols...

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1 Scale Analysis • Your job is to fill an empty swimming pool and you have been asked how long it will take. • You can write an equation that takes all of the inflows and outflows into account, but you do not have exact values for any of them. • Does that mean that you can’t answer the question? No, because you can use scale analysis. Fundamental Physical Quantities Kelvins (K) T temperature kilograms (kg) M mass seconds (s) t time meters (m) L length Units Symbol Quantity

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2 Some Derived Quantities m 3 /kg L 3 /M α Specific Volume kg/m 3 M/L 3 ρ Density Pa = kg/m s 2 M/Lt 2 P Pressure J = kg m 2 /s 2 ML 2 /t 2 E Energy N = kg m/s 2 ML/t 2 F Force m/s 2 L/t 2 A Acceleration m/s L/t V Velocity
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Unformatted text preview: Units Dimensions Symbol Quantity Bold symbols indicate vector quantities. rate seepage rate n evaporatio rate flow pool of Volume t fill + + = 3 rate seepage rate n evaporatio rate flow pool of Volume t fill + + = 1 3 1 3 1 3 00001 . 001 . 100 − − − ≈ ≈ ≈ h m rate seepage h m rate n evaporatio h m rate flow rate flow pool of Volume t fill ≈ How To Solve Problems • An excellent website has been developed by Prof. Dan Styer of the Dept. of Physics and Astronomy at Oberlin College • http://www.oberlin.edu/physics/dstyer/SolvingProblems.html...
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lect_03 - Units Dimensions Symbol Quantity Bold symbols...

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