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Which expression represents the calculation for the moment of inertia?

1. ∫r²dm
2. ∫r²dm
3. ∫r²dm
4. ∫r²dm

Correct answer: ∫r²dm

Solution

Moment of inertia is mathematically defined as the integral of r² (distance from the axis of rotation squared) with respect to the mass element dm, which is correctly represented as ∫r²dm.

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