contestada

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?

Respuesta :

Answer:

Explanation:

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

[tex]tan\theta=\frac{v^2}{rg}[/tex]

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

substituting the values

[tex]tan\theta=\frac{(13.2)^2}{39\times9.8}[/tex]

[tex]tan\theta= .4559[/tex]

θ = 24.5 degree.