The car is moving along the curve of the road, the radius of which is 20 m.

The car is moving along the curve of the road, the radius of which is 20 m. Determine the speed of the car if the centro-dynamic acceleration is 5 m / s2.

Initial data: R (value of the radius of curvature of the road) = 20 m; an (centripetal, normal vehicle acceleration) = 5 m / s ^ 2.

Vehicle speed can be expressed from the following formula:

an = V ^ 2 / R; V ^ 2 = аn * R; V = √ (аn * R).

Let’s do the calculation:

V = √ (5 * 20) = √100 = 10 m / s.

Answer: The vehicle speed is 10 m / s.