Find the radius of the circle if it is known that its speed is 2.5 m / s, and the period is 120 s.

univerkov | March 9, 2021 | education

Problem data: V (linear velocity of motion of a conventional body in a circle) = 2.5 m / s; T (period) = 120 s.

The radius of the circle along which the conditional body moves can be expressed from the formula: V = 2 * Π * R / T, whence R = V * T / (2 * Π).

Let’s calculate: R = 2.5 * 120 / (2 * 3.14) = 47.77 m.

Answer: The conditional body moves in a circle with a radius of 47.77 m.

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