Rotational Kinetic Energy Calculator

Free calculate energy of rotating objects. determine e_rot = (1/2)iω² where i is moment of inertia and ω is angular velocity.

Input Parameters

Results

Enter parameters to calculate rotational energy

Rotational Kinetic Energy Formula

Formula

E_rot = (1/2) × I × ω²

Where:

  • • E_rot = rotational kinetic energy (J)
  • • I = moment of inertia (kg·m²)
  • • ω = angular velocity (rad/s)

Moment of Inertia

  • • Solid sphere: I = (2/5)mr²
  • • Solid cylinder: I = (1/2)mr²
  • • Thin rod: I = (1/12)mL²

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