The car enters a concave section of the road, the radius of curvature of which is R = 30 m.

The car enters a concave section of the road, the radius of curvature of which is R = 30 m. At what speed will the driver experience a three-fold overload?

Initial data: R (radius of curvature of the concave section of the road) = 30 m; n (overload factor that the driver must experience) = 3g

Reference data: g = 10 m / s ^ 2.

1) Determine the acceleration (normal acceleration) with which the car should move:

n = a / g, whence an = n * g = 3 * 10 = 30 m / s ^ 2.

2) Required vehicle speed:

an = V ^ 2 / R; V ^ 2 = аn * R; V = √ (аn * R) = √ (30 * 30) = √900 = 30 m / s.

Answer: The driver will experience three times overload at a speed of 30 m / s.