Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The minimum banking of road ( 
) required to take a circular turn of radius R is tan 
= 
Text Solution
Verified by ExpertsThe correct answer is:
A
To achieve a circular turn of radius R, the required banking angle (b) can be derived using the equation for motion on a curved path. The formula is given by:
$$ \tan(\theta) = \frac{v^2}{gR} $$
Where:
- \( v \) = velocity of the vehicle
- \( g \) = acceleration due to gravity
- \( R \) = radius of the turn
Rearranging the formula gives us \( \theta = \tan^{-1}\left(\frac{v^2}{gR}\right) \).
Therefore, the correct option is A.
$$ \tan(\theta) = \frac{v^2}{gR} $$
Where:
- \( v \) = velocity of the vehicle
- \( g \) = acceleration due to gravity
- \( R \) = radius of the turn
Rearranging the formula gives us \( \theta = \tan^{-1}\left(\frac{v^2}{gR}\right) \).
Therefore, the correct option is A.
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