The train enters the rounded section of the track and travels 600 m in 30 s, moving at a constant speed.

The train enters the rounded section of the track and travels 600 m in 30 s, moving at a constant speed. Determine the acceleration of the train if the radius of curvature is 1 km.

Task data: S (distance traveled by the train along the rounded section) = 600 m; t (movement time) = 30 s; the train speed is constant (аτ (tangential acceleration) = 0 m / s2); R (radius of curvature) = 1 km (in SI R = 1000 m).

The acceleration of this train on a rounded section is determined by the formula: a = an = V ^ 2 / R = (S / t) ^ 2 / R = S ^ 2 / (R * t ^ 2).

Let’s perform the calculation: a = 600 ^ 2 / (1000 * 30 ^ 2) = 0.4 m / s2.

Answer: The acceleration of the train is 0.4 m / s2.