The car moves along a curvature of the road with a radius of 50 m at a speed of 10 m / s. Determine its centripetal acceleration.

R = 50 m.
V = 10 m / s.
a -?
When the body moves, its velocity V is always directed tangentially to the trajectory of motion. Therefore, when the body moves uniformly along a rounded trajectory, the direction of the velocity V always changes in direction, the body has a centripetal acceleration a.
We express the centripetal acceleration a by the formula: a = V ^ 2 / R, where R is the radius of curvature of the trajectory.
a = (10 m / s) ^ 2/50 m = 2 m / s2.
Answer: the centripetal acceleration of the car is a = 2 m / s2.



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