A disk rotating about a point on its circumference

On a rough floor with coefficient of kinetic frction μk \mu_k , a horizontally placed uniform circular disk of radius RR is rotating about a fixed point on it's circumference with angular velocity ω0 \omega_0 .

The time taken by the disk to stop is t=abπRω0μkgt = \dfrac{a}{b} \dfrac{\pi R \omega_{0}}{\mu_{k} g}, where aa, and bb are positive coprime integers. Find the value of a+ba+b.

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