- #1

Chiara

For a car traveling with speed v around a curve of radiur r, determine a formula for the angle at which the road should be banked so that no friction is required.

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- Thread starter Chiara
- Start date

- #1

Chiara

For a car traveling with speed v around a curve of radiur r, determine a formula for the angle at which the road should be banked so that no friction is required.

- #2

- 1,589

- 3

Now, you know the component of the reaction force in the direction towards the centre of the curve (and so at right angles to the ground) as equal to m * V^2/r (from pretty basic circular motion). You also know it's component in the downwards direction (as mg). You can then divide one from the other to get the tan(angle), using geometry to get the angle of the plane.

Much easier to understand with good diagrams.

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