Time?? It's quite different !!

A uniform circular disc of radius R\displaystyle{\mathcal{R}} is placed on a frictionless horizontal plane.Another identical disc rotating with angular velocity ω\displaystyle{\omega} is gently placed on the top of it.The time taken to acquire the final angular velocity can be expressed as ab×Rωμg\dfrac{a}{b} \times \dfrac{\mathcal{R} \omega}{\mu g} Where μ\displaystyle{\mu} is the coefficient of friction between the plates. What is the value of a+b\displaystyle{a+b}?


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