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Problem 3.55
[Difficulty: 1]
Given:
Geometry of cup
Find:
Force on each half of cup
Assumptions:
(1) Tea is static and incompressible
(2) Atmospheric pressure on outside of cup
Solution:
Basic equation
F
R
A
p
⌠
⎮
⎮
⌡
d
=
dp
dh
ρ
g
⋅
=
or, use computing equation
F
R
p
c
A
⋅
=
The force on the halfcup is the same as that on a rectangle of size
h8
c
m
⋅
=
and
w
6.5 cm
⋅
=
F
R
A
p
⌠
⎮
⎮
⌡
d
=
A
ρ
g
⋅
y
⋅
⌠
⎮
⎮
⌡
d
=
but
dA
w dy
⋅
=
Hence
F
R
0
h
y
ρ
g
⋅
y
⋅
w
⋅
⌠
⎮
⌡
d
=
ρ
g
⋅
w
⋅
h
2
⋅
2
=
Alternatively
F
R
p
c
A
⋅
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

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