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Two Wheels of moment of inertia $4 K g m^{2}$ rotate side by side at the rate of $120 r e v m i n^{- 1}$ and $240 r e v m i n^{- 1}$ respectively in the opposite directions. If now both the wheels are coupled by means of weigntless shaft so that both the wheels now rotate with common angular speed, find the new speed of rotation.

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