Question

State the formula for the safety speed of a vehicle on a curved banked road.

• A. \(v = \sqrt{rg\sin\theta}\)
• B. \(v = \sqrt{rg\cos\theta}\)
• C. \(v = \sqrt{rg\tan\theta}\)
• D. \(v = \sqrt{\frac{g}{r\tan\theta}}\)

Hint:

Banked roads help reduce dependence on friction by allowing the normal reaction to provide centripetal force. The safe speed depends on radius \(r\), gravitational acceleration \(g\), and banking angle \(\theta\).

Answer 1

The Correct Option is C