Circular Motion: Solving for Banked Angle on a 122m Highway Curve

AI Thread Summary
To determine the banked angle for a highway curve with a radius of 122m, where a car travels at 26.8m/s without skidding, a force diagram should be drawn. This diagram should include the normal force, the centrifugal force due to circular motion, and the weight of the car. The goal is to find the angle where these forces are balanced, ensuring no friction is needed. The discussion emphasizes understanding the forces involved in circular motion to solve the problem effectively. This approach will help in calculating the required banking angle for safe vehicle navigation on the curve.
umeks17
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Homework Statement


a highway curve has a radius of 122m. At what angle should the road be banked so that a car travellin at 26.8m/s (60mph) has no tendency to skid sideways on the road? (frictional force is zero)


Homework Equations





The Attempt at a Solution

 
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Did you have a go at it?

Sam :smile:
 
no...can you help me to solve that question..
argh...my head wants to explode...
 
To start of you want to draw the setup as a force diagram at an arbitrary angle (called \theta say), with:
- The normal reaction
- The centrifugal force from acceleration in a circle
- The Weight of the car

You need to find the angle at which all these forces are balanced. Does this help?

Sam
 
i will try it tonight :smile:
 
thanks a lot...a got it..:) huh
 
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