Rotational Kinetic Energy Calculator helps you determine the energy stored in a rotating object. By inputting values like the Moment of Inertia and Angular Velocity in the basic mode, or Mass, Radius of Gyration, and Angular Velocity in the advanced mode, you can quickly calculate the object’s rotational kinetic energy.

Rotational Kinetic Energy Calculator

Enter the moment of inertia in kg·m². This value helps calculate the rotational kinetic energy.

Input the angular velocity in radians per second (rad/s). This value is used to find the energy.

This field will display the calculated rotational kinetic energy in Joules (J). It is readonly.

Enter the total mass in kilograms (kg). It will be used along with radius of gyration to calculate energy.

Input the radius of gyration in meters (m). This value helps determine the moment of inertia.

Provide the angular velocity in rad/s. This value is required to calculate rotational kinetic energy.

This field will display the calculated rotational kinetic energy in Joules (J). It is readonly.

The following guide explains each input field and its role in the calculation:

Field

Description and Purpose

Example Input

Moment of Inertia (kg·m²)

Enter the Moment of Inertia in kg·m², which reflects the object’s resistance to rotation. This is used with angular velocity to calculate rotational energy.

5.00

Angular Velocity (rad/s)

Provide the Angular Velocity in radians per second, showing the rotational speed of the object. It’s a key value in determining rotational energy.

2.00

Rotational Kinetic Energy (J)

This readonly field displays the calculated Rotational Kinetic Energy in Joules, based on the provided moment of inertia and angular velocity.

Result

Advanced Input Guide and Purpose

The advanced mode uses additional fields for mass and radius of gyration to determine the rotational kinetic energy through a more detailed approach:

Field

Description and Purpose

Example Input

Total Mass (kg)

Enter the object’s Total Mass in kilograms (kg), essential for calculating inertia with the radius of gyration.

10.00

Radius of Gyration (m)

Input the Radius of Gyration in meters (m), which represents the effective distance of mass distribution from the axis of rotation.

0.50

Angular Velocity (rad/s)

Provide the Angular Velocity in rad/s, which is needed along with inertia to determine rotational energy.

2.00

Rotational Kinetic Energy (J)

This readonly field displays the calculated Rotational Kinetic Energy in Joules, derived from the mass, radius, and angular velocity inputs.

Result

Example Calculations

Below are two example calculations with step-by-step breakdowns to demonstrate how to use the basic and advanced calculators.

By entering values in the respective fields, you can easily calculate the Rotational Kinetic Energy of any rotating object. Use Reset to clear all fields and start fresh with new data.