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    Moment of Inertia Calculation Guide

    raptor-scientific.com/resources/calculating-moment-of-inertia/

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    Basic Concepts
    • Moment of inertia (MOI) is rotational mass, unlike linear inertia
    • MOI depends on mass distribution and distance from center of rotation
    • Only one reference axis needed for MOI calculation
    Calculation Methods
    • Point mass MOI: I = Mr²
    • Radius of gyration (k) determines total MOI through CG
    • Parallel axis theorem: Ia = I + d²M
    Units and Approximations
    • Correct units: slug-ft², lb-in-sec², kg-m², lb-ft-sec², oz-in-sec²
    • Units must be divided by appropriate g value (386.088 in/sec²)
    • Offset errors can be ignored if radius of gyration < 1% of offset
    • Offset errors can be ignored if radius of gyration > 100 times offset
    Applications
    • Common in aerospace for calculating total vehicle MOI
    • Used in rocket component calculations
    • Helps determine rotational mass properties

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