At what angle should the roadway on a curve with a 50-m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy (and the frictional force is zero)

Respuesta :

Answer:

The value is  [tex]\theta = 16.38^o[/tex]

Explanation:

From the question we are told that

    The  radius is  [tex]r = 50 \ m[/tex]

    The  velocity is  [tex]v = 12 \ m/s[/tex]

   

Generally the angle is mathematically represented as

          [tex]\theta = tan^{-1} [\frac{v^2}{ gr} ][/tex]

=>       [tex]\theta = tan^{-1} [\frac{12^2}{ 9.8 * 50 } ][/tex]

=>       [tex]\theta = tan^{-1} [ 0.2939 ][/tex]

=>        [tex]\theta = 16.38^o[/tex]