Variable friction on the Horizontal disc

A uniform disc is rotating with angular velocity ω\omega and then it is gently placed horizontally on a rough horizontal surface having a coefficient of friction μ\mu . The total time TT taken by disc to stop rotating completely can be expressed as

T=ab×ωRμgT\quad =\cfrac { a }{ b } \times \cfrac { \omega R }{ \mu g } .

Find The value of a×ba\times b.


\bullet 'a' and 'b' are Co-prime positive integers.

This was asked by my friend Lakshya Kumar

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