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36.
REASONING
According to Equation 5.3, the magnitude
F
c
of the centripetal force that acts on each passenger is
, where
m
and
v
are the mass and speed of a
passenger and
r
is the radius of the turn. From this relation
we see that the speed is given by
2
c
/
Fm
vr
=
c
/
r
m
=
vF
. The
centripetal force is the net force required to keep each
passenger moving on the circular path and points toward the
center of the circle. With the aid of a freebody diagram, we
will evaluate the net force and, hence, determine the speed.
Passenger
r
2
m
g
m
g
SOLUTION
The freebody diagram shows a passenger at the bottom of the circular
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This note was uploaded on 01/29/2010 for the course CALC 01:640:135 taught by Professor Soffer during the Spring '08 term at Rutgers.
 Spring '08
 SOFFER

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