How Does Banking Angle Affect Centripetal Force on a Curve?

AI Thread Summary
The discussion revolves around calculating the net centripetal force required to keep a car traveling at 16 m/s on a curve with a radius of 21 m, considering the effects of banking and friction. Participants clarify that without friction, the centripetal force would solely depend on the normal force, specifically nsin(θ). There are corrections made to the equations used for calculating the forces, and confusion arises regarding the correct application of these equations. The importance of accurately recalculating the normal force without friction is emphasized. The conversation ultimately focuses on ensuring the correct understanding of the physics involved in banking angles and centripetal force.
lzh
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QUESTION:A car travels at a speed of 16 m/s around a
curve of radius 21 m.
The acceleration of gravity is 9.8 m/s^2 :
http://img262.imageshack.us/img262/3067/bankedcurvera4.jpg
What is the net centripetal force needed to
keep the car from skidding sideways? Answer
in units of N.
if there was no friction, what centripedtal force could be provided just by the banking of the road?
ANSWER:
http://img523.imageshack.us/img523/4331/bankrz7.jpg
i used 2 eqns for this by dividing all the forces into separate components.
y-direct:
mg+fcos72=ncos18
x-direct:
mv^2/r=nsin18+fsin72
i used those and found
n=32718.5452
f=21413.6627
coeff of frict=.65448
net centripetal=30476.19
i found all of the above for the other parts of the question, and they are all correct. But the question i presented above confused me. If no friction is present, the only force contributing to centripetal force would be the normal force. so that'd be nsin18, but it wasn't right.

what am i thinking wrong here?
 
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mg+fcos18=ncos18

Redo this part.
 
oh srry about that, i wrote the eqn down wrong, but i did it the right way on paper. its been changed
 
lzh said:
If no friction is present, the only force contributing to centripetal force would be the normal force. so that'd be nsin18, but it wasn't right.

Yep, that's correct. Maybe there are some other errors in your previous results.
 
but i know for a fact that my normal force is correct...
 
lzh said:
but i know for a fact that my normal force is correct...
Recalculate the normal force without the friction.
 
ok, ty, i got it
 
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