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37. According to the problem, the volume of the horizontal cylindrical tank is given by:
(
2
2
sin
2
LR
R
=π
−
α
− α
)
VL
(1)
where
α
is a function of time.
If we try to calculate the value of h (high) with this definition of variables, we have:
cos(
)
2
R
hR
α
=+⋅
(2)
Then:
•
h = 0 when
α
= 360
o
•
h = R or H/2 when
α
= 180
o
•
h = 2R or H when
α
= 0
o
To calculate the variation of the
α
with time:
dV
Q
dt
ρ
⋅=
⋅
(3)
Now, plugging 3 into 1:
()
2
2
sin
2
dL
R
Q
dt
πα
−
−
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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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