To solve this problem we will apply the concepts related to the equations of linear motion and angular motion in order to find the radius. Our values are given as,

Then

The relation between the acceleration and the angular velocity and the radius is,

The angular velocity and the lineal velocity can be related as,

The acceleration and the velocity was given, then


Replacing at the first equation we have,



Now using this expression to find the radius we have that



Therefore the correct answer is C.