How to use the angular momentum and rotational energy calculator
Find angular momentum and rotational kinetic energy. Enter moment of inertia, angular velocity in the fields above; the angular momentum, rotational kinetic energy are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- I — Moment of inertia (kg·m²)
- w — Angular velocity (rad/s)
Worked example
With moment of inertia = 2 kg·m², angular velocity = 10 rad/s, the calculator gives angular momentum ≈ 20 kg·m²/s; rotational kinetic energy ≈ 100 J.
Frequently asked questions
What is the formula for the angular momentum and rotational energy calculation?
Angular momentum (kg·m²/s) = I × w. Rotational kinetic energy (J) = 0.5 × I × w × w. Here I is moment of inertia (kg·m²), w is angular velocity (rad/s).
What inputs do I need for the angular momentum and rotational energy calculator?
You need moment of inertia in kg·m², angular velocity in rad/s. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.