Final_02a_Solution.doc
CIE 350  FINAL 12/20/2002
Page 1/7
Your Name__
OFFICIAL ANSWER SHEET
______________________________________
ρ
w
= 1.98 Slugs/F
3
or 1000 Kg/M
3
g = 32.2 F/S
2
or 9.81 M/S
2
1 Ft
3
/S = 449 GPM
ν
≈
10
6
M
2
/S
≈
10
5
F
2
/S
There are 6 problems, each is worth 20 points.
Work any 5.
You may work the sixth for 10% extra credit.
You must specify which one is extra credit.
(#1)
A
0.5m X 0.5m X 0.5m wooden cube (specific gravity = 0.4) floats in a tank of water.
a)
How much of the cube extends above the water surface?
b)
If the tank were pressurized so the air pressure at the water surface was increased by
101.3 kPa, how much of the cube would now extend above the water surface?
Explain
how you arrived at your answer.
Note: you may assume that, for all practical
purposes, both the air and water densities remain unchanged.
γ
H2O
Water
Air
x
0.5x
s.
assumption
Note
.
difference
no
makes
pressure
of
Change
b)
!!!!
EKA!!!!!!!
!!!!!!!EUR
!!!!!!!!!!
water!
displaced
Weight of
object
Weight of
0.3M
x
0.2M
x
0.5M
0.4
γ
*
A
*
0.5M
γ
x)
(0.5
A
a)
0.25M
0.5M
*
0.5M
Area
A
0
H
0
H
2
2
2
=
=
−
=
−
=
=
=
=
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View Full DocumentFinal_02a_Solution.doc
CIE 350  FINAL 12/20/2002
Page 2/7
Your Name__
OFFICIAL ANSWER SHEET
______________________________________
ρ
w
= 1.98 Slugs/F
3
or 1000 Kg/M
3
g = 32.2 F/S
2
or 9.81 M/S
2
1 Ft
3
/S = 449 GPM
ν
≈
10
6
M
2
/S
≈
10
5
F
2
/S
(#2)
The massless, 4 – foot –
wide rectulangular gate shown,
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 Spring '10
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 Moody Diagram, Flow network, Manning, 0.15 mm, 0.068 m, 0.021 w

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