The trajectory of a motorcyclist on a bridge over a river looks like a circular arc. At a speed of 20 m / s

The trajectory of a motorcyclist on a bridge over a river looks like a circular arc. At a speed of 20 m / s, the centripetal acceleration was equal to the acceleration of gravity of 10 m / s * 2. What is the radius of the circular arc of the trajectory?

These tasks: V (the speed of the considered motorcyclist on the bridge over the river) = 20 m / s; a (acceleration of the rider in question) = 10 m / s2.

To determine the radius of the arc of the circle of the trajectory of the motorcyclist in question, we use the formula: an = V ^ 2 / R, whence R = V ^ 2 / an.

Let’s perform the calculation: R = 20 ^ 2/10 = 40 m.

Answer: The radius of the circular arc is 40 m.