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214. 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
214. 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.
 Winter '10
 B.G.Higgins

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