Frequently Asked Questions
What is rotational kinetic energy?
Energy stored in rotation: KE = ½Iω². Analogous to translational ½mv² but with moment of inertia instead of mass and angular velocity instead of linear.
How do I find the moment of inertia?
Depends on shape and axis. Uniform disk: I = ½MR². Solid sphere: I = ⅖MR². Use a moment-of-inertia table for specific shapes.
RPM vs rad/s?
1 RPM ≈ 0.1047 rad/s. Multiply by 2π/60 to convert RPM to rad/s.
What are the moment of inertia formulas for common shapes?
Each is about an axis through the center of mass unless noted. Solid disk or cylinder: I = ½MR². Hoop or thin ring (or thin cylindrical shell): I = MR². Solid sphere: I = ⅖MR². Thin spherical shell: I = ⅔MR². Thin rod about its center: I = 1/12 ML². Thin rod about one end: I = ⅓ ML². M is mass, R is radius, and L is length.
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This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.