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GATE2020-ME-1: 20

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A flywheel is attached to an engine to keep its rotational speed between $100\: rad/s$  and $110\: rad/s $. If the energy fluctuation in the flywheel between these two speeds is $1.05\: kJ$ then the moment of inertia of the flywheel is____________$kg \cdot m^{2}$ (rounded off to $2$ decimal places).

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