Question

At what angle should the roadway on a curve with a 45 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)?.

Answer 1

At an angle of  18.26 °  the roadway on a curve with a 45 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy

angle of banking of the car going round the curve = tan (theta) = $v^{2} / rg$

v = speed

r = radius

g = acceleration due to gravity

substituting the values

tan (theta)  = $12^{2}$ / 45 * 9.8  = 0.33  

theta = $tan^{-1}$ (0.33)

         = 18.26 °

At an angle of  18.26 °  the roadway on a curve with a 45 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy .

To learn more about acceleration due to gravity here :

brainly.com/question/13860566

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