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29. (a) Earth makes one rotation per day and 1
d
is (24 h) (3600 s/h) = 8.64
×
10
4
s, so the
angular speed of Earth is
5
4
2r
a
d
7.3 10
rad/s.
8.64 10 s
ω
−
π
==
×
×
(b) We use
v
=
ω
r
, where
r
is the radius of its orbit. A point on Earth at a latitude of 40°
moves along a circular path of radius
r = R
cos 40°, where
R
is the radius of Earth (6.4
×
10
6
m). Therefore, its speed is
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 Spring '08
 Any
 Physics

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