Question

A lorry is moving on a smooth circular path of radius 50 m with a velocity of 20 m/s. Then the banking angle of the road is:

• A. \( \tan^{-1} \left( \frac{5}{4} \right) \)
• B. \( \tan^{-1} \left( \frac{4}{5} \right) \)
• C. \( \tan^{-1} \left( \frac{2}{5} \right) \)
• D. \( \tan^{-1} \left( \frac{5}{2} \right) \)

Hint:

For circular motion problems involving banking, use the relation between the radius, velocity, and gravitational acceleration to find the banking angle.

Answer 1

The Correct Option is A

Using the formula for the banking angle in circular motion and the given parameters of radius and velocity, we can calculate the angle. The correct banking angle is \( \tan^{-1} \left( \frac{5}{4} \right) \). Thus, the correct answer is option (1).