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 is the direction of the angular velocity when a disc rolls to the right without slipping?

• Downward

• Upward

• Clockwise

• Counterclockwise

In the animation, what does the yellow line represent?

• The height of the disc

• The circumferential distance

• The angular velocity

• The radius of the disc

What is the relationship between the circumferential distance and the linear distance rolled by the disc?

• Circumferential distance is twice the linear distance

• They are equal

• They are unrelated

• Linear distance is twice the circumferential distance

What formula is used to express the magnitude of the linear distance DX in terms of angular displacement?

• DX = R / DTheta

• DX = R * DTheta

• DX = R * Omega

• DX = Omega * DTheta

How is the magnitude of VO related to R and Omega?

• VO = Omega - R

• VO = R * Omega

• VO = R / Omega

• VO = Omega / R