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67. (a) The continuity equation yields
Av
=
aV
, and Bernoulli’s equation yields
22
11
p
vV
ρρ
Δ+
=
, where
Δ
p
=
p
1
–
p
2
. The first equation gives
V
= (
A
/
a
)
v
. We use this
to substitute for
V
in the second equation, and obtain
()
2
p
vA
a
v
=
. We
solve for
v
. The result is
2
2
.
(/) 1
p
ap
v
Aa
A a
ΔΔ
==
−−
(b) We substitute values to obtain
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 Spring '08
 Any
 Physics

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