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8.
REASONING AND SOLUTION
The centripetal acceleration for any point on the
blade a distance
r
from center of the circle, according to Equation 5.2, is
a
c
=
v
2
/
r
.
From Equation 5.1, we know that
vr
T
=
2
π
/
where
T
is the period of the motion.
Combining these two equations, we obtain
a
rT
r
r
T
c
==
(/
)
2
4
2
2
2
a.
Since the turbine blades rotate at 617 rev/s, all points on the blades rotate with a
period of
T
=
(1/617) s = 1.62
×
10
–3
s. Therefore, for a point with
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 Spring '08
 SOFFER

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