A circular curve of a highway is designed for traffic moving at 72 km/h. if the radius of the curved path is 100 m, the correct angle of banking of the road should be given by:

Options

A. `tan^(-1)(2/5)`
B. `tan^(-1)(3/5)`
C. `tan^(-1)(1/5)`
D. `tan^(-1)(1/4)`

Answer

A

Explanation

Velocity v` =72 kmh^(-1)=72xx(5)/(18)ms^(-1)=20ms^(-1)`
The angle of bankin of the road `theta`=`tan^(-1)((v^2)/(Rg))`
`=tan^(-1)((400)/(100xx10))=tan^(-1)(2/5)`