The train travels at a speed of 72 km / h along the curve of the road.

The train travels at a speed of 72 km / h along the curve of the road. Determine the radius of the arc if the centripetal acceleration of the train is 5 m / s2.

V = 72 km / h = 20 m / s.

a = 5 m / s ^ 2.

R -?

The radius of curvature of the road is expressed from the formula for centripetal acceleration: a = V ^ 2 / R.

R = V ^ 2 / a.

R = (20 m / s) ^ 2/5 m / s ^ 2 = 80 m.

Answer: R = 80 m.



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