Physics Rotational Inertia Formulas

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7 Terms

1
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Hoop about a central axis

I = MR²

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SOLID cylinder or disk about a central axis

I = ½ MR²

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Thin ROD about perpendicular center axis

I = 1/12 ML² (L is whole length)

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Solid Sphere

I = 2/5 MR²

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Hoop about diameter (vertically)

I = ½ MR²

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Slab (Rectangle)

I = 1/12 M(a²+b²)

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Parallel Axis Theorem

I = Icm + Md², where Icm is the moment of inertia about the center of mass and d is the distance from the axis to the center of mass.