How Does Banking Angle Affect Centripetal Force on a Curve?

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Homework Help Overview

The discussion revolves around the effects of banking angle on centripetal force as a car travels around a curve. The problem involves calculating the net centripetal force required to prevent skidding, considering both friction and the banking of the road.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the forces acting on the car, including the normal force and friction. There is an exploration of the equations used to analyze the forces in both the vertical and horizontal directions. Questions arise about the correctness of the calculations and the assumptions made regarding friction and the banking angle.

Discussion Status

The discussion is ongoing, with participants providing feedback on each other's equations and calculations. Some guidance has been offered regarding the need to recalculate the normal force without friction. There is a recognition of potential errors in previous calculations, but no consensus has been reached on the final values.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available and the assumptions that can be made. The discussion reflects a focus on understanding the role of banking angle in centripetal force without friction.

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?
 
Last edited by a moderator:
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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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