Banking of Roads (Safe Speed)

📊 advanced

$$v = \sqrt{rg \tan \theta}$$

The speed at which a vehicle can safely turn on a banked road without relying on friction.

Variables & Units

$\theta$

Angle of banking

Unit: Degrees

Key Information

📐 Derived From

Balancing horizontal component of normal force with centripetal force.

💡 Example

Designing race tracks.

🔧 Applications

Civil engineering.

⚠️ Constraints

Assumes zero friction for 'ideal' speed.

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