A car weighing 2 tons moves along a concave bridge with a radius of curvature of 250 m at a speed of 54

A car weighing 2 tons moves along a concave bridge with a radius of curvature of 250 m at a speed of 54 km / h. With what force does the car press on the middle of the bridge?

Initial data: m (vehicle weight) = 2 t; V (travel speed) = 54 km / h; R (radius of the concave bridge) = 250 m.

Constants: g = 10 m / s ^ 2.

SI system: m = 2 t = 2 * 10 ^ 3 kg; V = 54 km / h = 15 m / s.

The force with which the car presses on the middle of the bridge can be calculated from the ratio:

F = m * g + m * an = m * (g + an) = m * (g + V ^ 2 / R).

Let’s perform the calculation:

F = 2000 * (10 + 15 ^ 2/250) = 2000 * 7.5 = 21 800 N or 21.8 kN.

Answer: The vehicle pressure on the middle of the axle is 21.8 kN.