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30-03-2018
Mathematics

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Determine the moment of inertia of a 14.2 kg sphere of radius 0.567 m when the axis of rotation is through its center.

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sqdancefan sqdancefan

30-03-2018

The moment of inertia (I) of a solid uniform sphere of radius r and mass m is
I = (2/5)mr²
For your mass and radius, this is
I = (2/5)(14.2 kg)(0.567 m)²
I ≈ 1.826 kg·m²

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