velocity of center of wheel under pure role

The video tutorial explains how to calculate the velocity of a disc rolling across the ground without slipping. It introduces the concept of linear and angular velocity, and demonstrates the well-known formula VO = R Omega. Through animations, the tutorial illustrates the relationship between circumferential and linear distances. Finally, it provides a detailed mathematical derivation of the formula, emphasizing the use of circular motion principles.

What does the animation demonstrate about the relationship between circumferential distance and linear distance for the rolling disc?

Describe the process of deriving the formula that relates the magnitude of VO to Omega.