# With uniform motion in a circle in 2 s, the body travels a path equal to 5 m.

July 22, 2021 | education

| **With uniform motion in a circle in 2 s, the body travels a path equal to 5 m. What is the centripetal acceleration of the body if the period of revolution is 5 s?**

Data: t (duration of movement in a circle) = 2 s; S (distance traveled) = 5 m; T (orbital period) = 5 s.

To find the centripetal acceleration, we apply the formula: аn = V ^ 2 / R = V ^ 2 / (V * T / 2Π) = V * 2Π / T = (S / t) * 2Π / T = S * 2Π / (t * T).

Let’s make a calculation: an = 5 * 2 * 3.14 / (2 * 5) = 3.14 m / s2.

Answer: The centripetal acceleration is 3.14 m / s2.

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