The wheel makes 20 revolutions in 6.28 s. Determine the radius of the wheel if a point located

The wheel makes 20 revolutions in 6.28 s. Determine the radius of the wheel if a point located at a distance of 1/3 of the radius from the axis of the wheel moves at a speed of 2 m / s

The period of rotation of the wheel is equal to the time of movement divided by the number of revolutions: 6.28 / 20.
Angular velocity w = 2 * PI / T. In this case, 2 * PI * 20 / 6.28 = 20 rad / s.
Next, we use the formula w = v / R then we get R = v / w, for a specific case we have:
R / 3 = v / w
from here
R = 3 * v / w = 3 * 2/20 = 0.3 m.