Calculating Centrifugal Force of a Car on a Curved Road

AI Thread Summary
The discussion focuses on calculating the centrifugal force exerted by a car on a curved road. The initial calculations show a discrepancy in the forces acting on the car, specifically between gravitational force and centripetal force. The correct gravitational force is calculated as 16758 N, while the centripetal force needed is 12239.15844 N. The net force exerted by the road on the car is determined to be approximately 4518.84 N. Participants express confidence in their calculations, indicating no apparent errors in the methodology used.
Ry122
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http://users.on.net/~rohanlal/cent.jpg

my attempt:
The car becomes lighter as it passes over the arc therefore its going to exert a force on the road that is less than its normal force.
f=mv^2/r
f=1710(16.6)^2/38.5 = 12239.15844
9.8 x 1710 = 16758
16758-12239.15844
this is incorrect, what am i doing wrong?
 
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Looks okay to me. I got 4536 N using g = 9.81.
 
As a matter of fact let me do the math for you here.(I've no idea if my expression is clear or not because English is not my mother tongue.)
The gravity exerted on the car is :
G=mg=16758N
And the Centripetal force needed is:
f=mv^2/R=12239.15844N
As the forces exerted on the car is the Centripetal force if we take the ground as the reference frame
so
N+f=G
N=4518.84156N
This is right the force the road exert on the car...if I'm asked to solve it.
I don't see any problems unless it's a problem of relativity or Quantunm Mechanics...
 
it says to use 9.8 for gravity and round off to the nearest tenth. What would it be then?
 
Simply 9.8? :-p
 
Ry122 said:
it says to use 9.8 for gravity and round off to the nearest tenth. What would it be then?

That's exactly what I did.
I don't see anything wrong.
 
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