Question

The Banked Roadway A civil engineer wishes to redesign the curved roadway in the example What is the Maximum Speed of the Car? in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car of mass m moving at the designated speed can negotiate the curve even when the road is covered with ice. Such a road is usually banked, which means that the roadway is tilted toward the inside of the curve. Suppose the designated speed for the road is to be v = 13.2 m/s (29.5 mi/h) and the radius of the curve is r = 39.0 m. At what angle should the curve be banked?

Answer 1

Step-by-step explanation:

If θ be the angle of banking of the road for perfect negotiation of turn

`tan\theta=(v^2)/(rg)`

where v is velocity and r is radius of the curve .

substituting the values

`tan\theta=((13.2)^2)/(39*9.8)`

`tan\theta= .4559`

θ = 24.5 degree.