Angular Momentum Calculator
Calculate angular momentum, moment of inertia, and rotational kinetic energy for various shapes
Quick examples:
Quick examples:
Results
2.50e+0
Angular Momentum (L) (kg·m²/s)
0.2500
Moment of Inertia (I) (kg·m²)
12.5000
Rotational KE (J)
Formula for Solid Disk
I = (1/2)MR²
Visualization
About Angular Momentum Calculator
Calculate angular momentum for rotating objects of various shapes. This tool computes moment of inertia, angular momentum, and rotational kinetic energy using classical mechanics equations. It also demonstrates conservation of angular momentum when moment of inertia changes.
Key Concepts
- Angular momentum (L) is the rotational analog of linear momentum
- Moment of inertia (I) depends on both mass distribution and rotation axis
- Angular momentum is conserved in the absence of external torques
- Different shapes have different moment of inertia formulas
Applications
- Physics education and homework problems
- Engineering analysis of rotating machinery
- Understanding ice skater spins and figure skating
- Gyroscope and flywheel design
Formulas
L = I × ω
KE = ½Iω²
I₁ω₁ = I₂ω₂
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