# Carpet Rolling 101

A carpet is rolled into the form of a cylinder (by rolling it along the length) of radius $$\frac{27}{140}\text{ m}$$ and it is kept on a rough horizontal floor. The carpet is given a negligible (gentle) push and it starts to unroll without slipping. Calculate the horizontal velocity in $$\text{m}/\text{s}$$ of the axis of the cylindrical part of the carpet when its radius becomes $$\frac{27}{280}$$.

Note: Approximate $$g$$ to be $$10 \text{ m}/\text{s}^2.$$

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