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20.51:
a) The cylinder described contains a mass of air
)L,
πd
ρ
m
4
(
2
=
and so the total
kinetic energy is
.
Lv
)d
π
ρ
K
2
2
8
(
=
This mass of air will pass by the turbine in a time
,
v
L
t
=
and so the maximum power is
.
)
8
(
3
2
v
d
π
ρ
t
K
P
=
=
Numerically, the product
.
m
s
W
5
.
0
m
kg
5
.
0
8
(
5
4
3
air
⋅
=
≈
)
π
ρ
b)
h.
km

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