Solved Example Problems for Slipping and Sliding(Rolling Motion)
A rolling wheel has velocity of its center of mass as 5 m s-1. If its radius is 1.5 m and angular velocity is 3 rad s-1, then check whether it is in pure rolling or not.
Translational velocity (vTRANS) or velocity of center of mass, vCM = 5 m s-1
The radius is, R = 1.5 m and the angular velocity is, ω = 3 rad s-1
Rotational velocity, vROT = Rω
As vCM > Rω (or) vTRANS > Rω, It is not in pure rolling, but sliding.