Rotational Kinetic Energy Calculator
🪐 Gravity & circular motion. Use the Rotational kinetic energy formula to find rotational ke, moment of inertia, angular velocity ω: pick the value you want, type the others, and the answer updates as you go.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Rotational KE | J |
| Moment of inertia | kg m² |
| Angular velocity ω | rad/s |
Worked example
Find the rotational ke when Moment of inertia = 0.25 kg m², Angular velocity ω = 6 rad/s.
Using Ek = 1/2 I ω²: Rotational KE = 4.5 J.
Frequently asked questions
What is the formula for Rotational kinetic energy?
Ek = 1/2 I ω².
What do the letters stand for, and what units are used?
Rotational KE in J, Moment of inertia in kg m², Angular velocity ω in rad/s.
How do you calculate rotational ke?
Put the values into Ek = 1/2 I ω². For example, with Moment of inertia = 0.25 kg m², Angular velocity ω = 6 rad/s, rotational ke = 4.5 J.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (rotational ke, moment of inertia, angular velocity ω) and fill in the others: it rearranges the formula for you.
