Need Help- Centripetal car problems, finding the angle

AI Thread Summary
To determine the banking angle for a curve with a radius of 100m for a car traveling at 90 km/h without relying on friction, the equations for centripetal force and vertical equilibrium must be established. The centripetal force equation is Fc = Fnsinθ, while the vertical equilibrium is represented by Fg = Fncosθ. The key is to express these forces in terms of the acceleration due to gravity and the radius of the curve. The discussion also highlights the importance of considering the non-inertial reference frame when analyzing forces. Overall, clarity in setting up the equations for both parallel and perpendicular forces is crucial for solving the problem.
Lolagoeslala
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Homework Statement



Find the angle at which a curve of radius 100m, should be
banked in order that a car moving at a speed 90 km/h will not
need any frictional force to round it

The Attempt at a Solution


Alright so what i did was, i made two equations...
Fc=Fnsinθ
ma=mgsinθ
v^2/r=gsinθ this is the horizontal force toward the centre of the circle.

And now for the verticle equilibrium
Fg= Fncosθ is this correct i am not understanding how i would do this?

AND THE REST i am really confused about what to do...
 
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Try writing the equations for parallel and perpendicular to the road.
Just keep in mind that you aren't dealing with an inertial reference frame. The F_c pointing in that is your centripetal force, is the same as a centrifugal force pointing out in this reference frame.
 
Who r u Lola. You go to my school cause all of your questions you're asking are from an assignment. Message me back, cause i want to compare answers with u.
 
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