The train moves along the curve at a speed of 20 m / s. Find the radius of curvature if its centripetal

The train moves along the curve at a speed of 20 m / s. Find the radius of curvature if its centripetal acceleration is 0.5 m / s ^ 2.

Problem data: V (constant speed of a given train at the curve) = 20 m / s; ac (centripetal acceleration) = 0.5 m / s2.

To determine the radius of curvature along which a given train moves, we use the formula: ac = V ^ 2 / R, whence R = V ^ 2 / ac.

Let’s make a calculation: R = 20 ^ 2 / 0.5 = 800 m.

Answer: The radius of curvature is 800 meters.