Rotational Kinetic Energy Calculator

Formula

The formula to calculate the Rotational Kinetic Energy is:

\[ E = 0.5 \times I \times \omega^2 \]

Where:

\(E\) is the Rotational Kinetic Energy (Joules)
\(I\) is the Mass Moment of Inertia (kg·m²)
\(\omega\) is the Angular Velocity (rad/s)

What is Rotational Kinetic Energy?

Rotational kinetic energy is the amount of energy contained by an object undergoing rotational motion. It is determined by the object's mass moment of inertia and its angular velocity.

Example Calculation

Let's consider an example:

Mass Moment of Inertia (I): 10 kg·m²
Angular Velocity (ω): 5 rad/s

Using the formula to calculate the Rotational Kinetic Energy:

\[ E = 0.5 \times 10 \times 5^2 = 125 \text{ Joules} \]

This means that the Rotational Kinetic Energy (E) is 125 Joules.