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

[umeks17]

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

 

[BerryBoy]

Did you have a go at it?

Sam

 

[umeks17]

no...can you help me to solve that question..
argh...my head wants to explode...

 

[BerryBoy]

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

 

[umeks17]

i will try it tonight

 

[umeks17]

thanks a lot...a got it..:) huh