A uniform wheel of radius R is set into rotation about its axis at an angular speed w.This rotating wheel is now placed on a rough horizontal surface with its axis horizontal. Because of friction at the contact , the wheel accelerated forward and its rotation decelerates till the wheel starts pure rolling on the surfaces . Find the linear speed of the wheel after it starts pure rolling.

Question

$$\begin {array} {1 1} (a)\;wR & \quad (b)\;\frac{wR}{3} \\ (c)\;\frac{wR}{2} & \quad  (d)\;\frac{wR}{4} \end {array}$$