A car weighing 1.5 tonnes travels on a concave bridge with a radius of 30 meters

A car weighing 1.5 tonnes travels on a concave bridge with a radius of 30 meters at a speed of 54 km / h. What is the weight of the car at the lowest point of the bridge?

To calculate the value of the weight of the presented car at the lowest point of the concave bridge, we project all the forces onto the vertical axis: m * ac = N – Ft = P – m * g, from where we can express: P = m * ac + m * g = m * (ac + g) = m * (V ^ 2 / R + g).

Variables and constants: m – vehicle weight (m = 1.5 t = 1.5 * 10 ^ 3 kg); V – speed (V = 54 km / h = 15 m / s); R is the radius of the concave bridge (R = 30 m); g – acceleration due to gravity (g ≈ 10 m / s2).

Calculation: P = m * (V2 / R + g) = 1.5 * 10 ^ 3 * (152/30 + 10) = 26.25 * 10 ^ 3 N.

Answer: At the lowest point of the concave bridge, the vehicle shown will have a weight of 26.25 kN.