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.
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