Question

State the formula for angle of banking.

Hint:

To go faster or turn tighter (smaller r), you need a steeper bank (larger \(\theta\)). This is why race tracks have very steep banks in the corners.

Answer 1

The formula for the ideal angle of banking (\(\theta\)) for a vehicle moving at speed \(v\) on a curved road with radius \(r\) is: \[ \tan \theta = \frac{v^2}{rg} \] where \(g\) is the acceleration due to gravity. This angle allows the vehicle to make the turn without relying on friction.