A car weighing 2 tons travels on a convex bridge at a speed of 36 km / h.

A car weighing 2 tons travels on a convex bridge at a speed of 36 km / h. With what force it presses on the middle point of the bridge, the radius of curvature of which is 40m.

With uniform motion along a circle, the body moves with acceleration a = v ^ 2 / r where v is the speed, r is the radius. Let’s express the speed in meters per second:

36 km / h = 36000/3600 = 10 m / s.

Then the centripetal acceleration is equal to:

10 ^ 2/40 = 100/40 = 2.5 m / ^ c ^ 2.

The vehicle pressure will be:

2000 * (10 + 2.5) = 25000 Newtons.