A car with a mass of 2 tons passes along a convex bridge with a radius of curvature of 40 m
| April 30, 2021 | education
A car with a mass of 2 tons passes along a convex bridge with a radius of curvature of 40 m at a speed of 36 km / h. With what force the car pushes against the bridge in its middle.
Given: m (mass of a given vehicle) = 2 t (in SI m = 2000 kg); R (radius of curvature of this convex bridge) = 40 m; V (constant speed of a given vehicle in the middle of the bridge) = 36 km / h (in SI V = 10 m / s).
Constants: g (acceleration due to gravity) = 9.81 m / s2.
The pressure that the given car will create in the middle of the bridge: F = P = m * (g – an) = m * (g – V ^ 2 / R).
Calculation: F = 2000 * (9.81 – 10 ^ 2/40) = 14 620 N.
Answer: A given vehicle presses into the middle of the bridge with a force of 14 620 N.
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