Rotational Kinetic Energy Calculator

Calculate the rotational kinetic energy of an object based on its moment of inertia and angular velocity.

Moment of Inertia (kg·m²):

Angular Velocity (rad/s):

Result:

Enter values to calculate

Formula:

Rotational Kinetic Energy = ½ × I × ω²

Where:

I = Moment of Inertia (kg·m²)
ω = Angular Velocity (rad/s)

FAQs

What is rotational kinetic energy?

Rotational kinetic energy is the energy possessed by a rotating object due to its motion. It’s the rotational equivalent of linear kinetic energy and depends on the object’s moment of inertia and angular velocity.

How is rotational kinetic energy different from linear kinetic energy?

Linear kinetic energy depends on mass and linear velocity (KE = ½mv²), while rotational kinetic energy depends on moment of inertia and angular velocity (KE = ½Iω²). Both represent energy of motion but in different forms.

What are some real-world applications of rotational kinetic energy?

Rotational kinetic energy is important in many systems including flywheels for energy storage, rotating machinery, spinning tops, gyroscopes, and celestial bodies like rotating planets and stars.