The car moves along the curve of the road with a centripetal acceleration of 2 m / s2 at a speed

The car moves along the curve of the road with a centripetal acceleration of 2 m / s2 at a speed of 72 km / h. The radius of curvature is.

a = 2 m / s2.

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

R -?

The speed of movement of the body V is always directed tangentially to the trajectory of its movement. When moving at a constant speed in a circle, the direction of the speed V constantly changes in direction, so the body moves with a centripetal acceleration a.

Centripetal acceleration a is determined by the formula: a = V ^ 2 / R, where V is the speed of movement, R is the radius of the circle.

R = V ^ 2 / a.

R = (20 m / s) ^ 2/2 m / s2 = 200 m.

Answer: the radius of curvature of the road is R = 200 m.