Kinetic Energy of Rotation

📊 intermediate

$$K_{rot} = \frac{1}{2}I\omega^2$$

Energy of a rigid body due to its rotation about an axis.

Variables & Units

$I$

Moment of inertia

Unit: $kg \cdot m^2$

$\omega$

Angular velocity

Unit: $rad/s$

Key Information

📐 Derived From

Summation of $\frac{1}{2}mv^2$ for all particles in the body.

💡 Example

Energy stored in a spinning flywheel.

🔧 Applications

Energy storage systems and orbital mechanics.

⚠️ Constraints

Fixed axis of rotation.

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