2-14 - 2-14. Energy is sometimes expressed as v 2 / 2 g...

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2-14. Energy is sometimes expressed as 2 v/2 g although this term does not have the units of energy. What are the units of this term and why would it be used to represent energy? Think about the fact that gh ρ represents the gravitational potential energy per unit volume of fluid and that h is often used as a convenience unit for gravitational potential energy. Remember that 2 1 2 v ρ represents the kinetic energy per unit volume of fluid where v is determined by . 2 v =⋅ vv 2-14. We could begin this problem by noting that unit for gravitational potential 1 the gravitational potential energy per unit volume energy per unit volume convenience gh h gg   ρ  ==  ρρ    = In this case, ρ represents a convenient scaling factor that allows one to discuss the gravitational potential energy per unit volume simply in terms of the height, h , above some reference plane. If we use this same scaling factor with the kinetic energy per unit volume, we obtain g
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This note was uploaded on 07/15/2010 for the course ECM 051 taught by Professor B.g.higgins during the Winter '10 term at UC Davis.

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