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GATE2020-ME-2: 39

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The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure.

The mean turning moment is $2000$ Nm. The average engine speed is $1000$ rpm. For fluctuation in the speed to be within $\pm 2\%$ of the average speed, the mass moment of inertia of the flywheel is ________ $kg \cdot m^2$

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