At what speed the car must pass the middle of a convex bridge with a radius of 40 m

At what speed the car must pass the middle of a convex bridge with a radius of 40 m so that the centripetal acceleration is equal to the acceleration of gravity.

Problem data: R (radius of the considered convex bridge) = 40 m.

Reference values: g (acceleration due to gravity) = 9.81 m / s2.

The required vehicle speed can be expressed from the equality: an = V ^ 2 / R = g, whence V = √ (g * R).

Let’s make a calculation: V = √ (9.81 * 40) = 19.81 m / s.

Answer: The car must pass the middle of the convex bridge under consideration at a speed of 19.81 m / s.