Using the concept of instantaneous axis of rotation. Find speed of particle P as shown in figure, under pure rolling condition.
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In pure rolling, combined rotation and translation motion may be assumed to be a pure rotational motion about an axis passing through bottommost point (with same `omega`) or instantaneous axis of rotation `|V_(P)|=(OP)omega` here `OP=2Rsin((theta)/(2))` `therfore|V_(P)|=(2Rsin((theta)/(2))omega=2Romegasin((theta)/(2))=2vsin((theta)/(2))`
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