The speed of points on the working surface of the grinding wheel should not exceed 100 m / s.

The speed of points on the working surface of the grinding wheel should not exceed 100 m / s. Determine the centripetal acceleration of the points of a circle 40 cm in diameter farthest from the center.

Centripetal acceleration is equal to the ratio of the square of the speed to the radius of the circle.
Let’s convert all units to the SI system:
V = 100m / s
R = 20cm = 0.2m
Find the center acceleration:
a = V ^ 2 / R = 10000 / 0.2 = 10000 * 5 = 50000m / s ^ 2