Physics

Rolling without slipping is a constraint that links rotational and translational motion—the ball's surface doesn't slide on the lane, so every point touching the ground must have zero velocity. This means the linear speed of the center of mass $v$ and angular speed $\omega$ are proportional through the radius: $v = \omega r$. Just multiply the given angular speed by the radius to find how fast the center of mass moves forward.

Rolling without slipping is a constraint that links rotational and translational motion—the ball's surface doesn't slide on the lane, so every point touching the ground must have zero velocity. This means the linear speed of the center of mass $v$ and angular speed $\omega$ are proportional through the radius: $v = \omega r$. Just multiply the given angular speed by the radius to find how fast the center of mass moves forward.