Ielo makes 40 revolutions in 10 seconds. at what distance from the axis of rotation

Ielo makes 40 revolutions in 10 seconds. at what distance from the axis of rotation are the points moving at a speed of 31.4 m / s ?

To find the distance from the axis of rotation to the points under consideration, we use the equality: t / n = T (period of rotation of the body) = 2 * Π * R / V, whence we express: R = V * t / (2 * Π * n).

Values of variables: V – linear speed of points (V = 31.4 m / s); t is the duration of body rotation (t = 10 s); n is the number of completed revolutions (n = 40 revolutions).

Let’s perform the calculation: R = V * t / (2 * Π * n) = 31.4 * 10 / (2 * 3.14 * 40) = 1.25 m.

Answer: The points under consideration are located at a distance of 1.25 m from the axis of rotation.