where
h
1
is the height of the water in the tank,
p
1
is the pressure there, and
v
1
is the speed
of the water there;
h
2
is the altitude of the hole,
p
2
is the pressure there, and
v
2
is the speed
of the water there.
ρ
is the density of water. The pressure at the top of the tank and at the
hole is atmospheric, so
p
1
=
p
2
. Since the tank is large we may neglect the water speed at
the top; it is much smaller than the speed at the hole. The Bernoulli equation then
becomes
2
1
122
2
gh
v
gh
ρρ
=+
and
()
2
21
2
2
2 9.8m s
0.30m
2.42m s.
vg
h
h
=−
=
=
The flow rate is
A
2
v
2
= (6.5
×
10
–4
m
2
)(2.42 m/s) = 1.6
×
10
–3
m
3
/s.
(b) We use the equation of continuity:
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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