With uniform motion around a circle with a radius of 10 cm, the body makes 30 revolutions per minute.

With uniform motion around a circle with a radius of 10 cm, the body makes 30 revolutions per minute. Determine centripetal acceleration.

Initial data: R (radius of the circle along which the body moves) = 10 cm; n (body speed) = 30 rpm.
SI system: R = 10 cm = 10/100 m = 0.1 m; n = 30 rpm = 30/60 rpm = 0.5 rpm.
Let’s define a formula for calculating the centripetal acceleration of a given body:
an = V ^ 2 / R; V = 2 * Π * R * n; an = (2 * Π * R * n) ^ 2 / R = 4 * Π ^ 2 * R ^ 2 * n ^ 2 / R = 4 * Π ^ 2 * R * n ^ 2.
Let’s do the calculation:
an = 4 * 3.14 ^ 2 * 0.1 * 0.5 ^ 2 ≈ 1 m / s ^ 2.
Answer: The centripetal acceleration of the body is 1 m / s ^ 2.