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Problem 4.87
[Difficulty: 2]
Given:
Data on flow and system geometry
Find:
Deflection angle as a function of speed; jet speed for 10
o
deflection
Solution:
The given data is
ρ
999
kg
m
3
⋅
=
A
0.01 m
2
⋅
=
L2
m
⋅
=
k
500
N
m
⋅
=
x
0
1m
⋅
=
Basic equation (y momentum):
Applying this to the current system in the vertical direction
F
spring
V sin
θ
()
⋅
ρ
V
⋅
A
⋅
⋅
=
But
F
spring
kx
⋅
=
0
L sin
θ
⋅
−
⋅
=
Hence
0
L sin
θ
⋅
−
⋅
ρ
V
2
⋅
A
⋅
sin
θ
⋅
=
Solving for
θ
θ
asin
0
⋅
kL
⋅
ρ
A
⋅
V
2
⋅
+
⎛
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 Fall '07
 Lear
 Fluid Mechanics

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