p11 024

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24.

(a) Converting from hours to seconds, we find the angular velocity (assuming it is positive) from Eq. 11-

18:

ω =

v

r

=



2.90

× 10

4

km/h

 

1.00 h
3600 s



3.22

× 10

3

km

= 2.50

× 10

3

rad/s .

(b) The radial (or centripetal) acceleration is computed according to Eq. 11-23:

a

r

= ω

2

r =



2.50

× 10

3

rad/s



2



3.22

× 10

6

m



= 20.2 m/s

2

.

(c) Assuming the angular velocity is constant, then the angular acceleration and the tangential accel-

eration vanish, since

α =

dt

= 0

and

a

t

= = 0 .


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