What Is the Rotational Kinetic Energy & Flywheel Calculator?
Rotational kinetic energy is the energy possessed by an object due to its rotational motion about a fixed axis.
Flywheels harness this principle for grid-scale energy storage, regenerative braking, and engine torque smoothing.
How Does the Rotational Kinetic Energy & Flywheel Calculator Work?
Summing the linear kinetic energy of each infinitesimal particle 0.5·mi·vi² across a rigid body yields 0.5·I·ω².
Rotational Kinetic Energy & Flywheel Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Rotational kinetic energy scales with moment of inertia I and quadratically with angular velocity ω.
How to Use the Rotational Kinetic Energy & Flywheel Calculator
- Input the moment of inertia in kg·m².
- Enter the angular velocity in rad/s.
Step-by-Step Example Calculation
High-Speed Flywheel Storage
Input Values:
Understanding Your Result
Rotational Energy: Mechanical work stored in Joules and Watt-hours.
Angular Momentum: Conserved rotational quantity in kg·m²/s.
Factors That Affect the Result
- Rotational Speed: Dominant factor due to quadratic scaling.
- Mass Distribution: Locating mass at the outer rim maximizes moment of inertia.
When Should You Use This Calculator?
- Designing energy storage flywheels and engine balance shafts.
- Astrodynamics and satellite reaction wheel sizing.
Assumptions & Limitations
- Assumes rigid body rotation about a principal axis without precession.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard Newtonian rotational dynamics equation with exact closed-form evaluation.