# Rotational Kinetic Energy Calculator

If you want to determine the energy of an object rotating around its axis, you can use our rotational kinetic energy calculator.

**What is rotational kinetic energy?**

The **form of energy compressed when an object starts rotating around its axis** is known as **rotational kinetic energy**. If an object moves along a straight line and turns around its axis, it contains both linear and rotational kinetic energy and has to find separately. It is also known as angular kinetic energy.

In mathematical form, **Rotational kinetic energy** is defined as the **product of half of the object’s angular velocity square** and the **moment of inertia rotating around its axis**. The SI unit of rotational kinetic energy is Joules (J), equivalent to kg.m^{2}.s^{-2}

**Table of Contents**

## Formula of Rotational Kinetic Energy Calculator

To instantly evaluate the energy in a rotating object, you can immediately use our rotational kinetic energy calculator or use the formula listed below.

KR = 1/2 (Iω^{2})

**Where,**

KR = Rotational Kinetic energy

I = moment of inertia

ω = angular velocity

**Note:**

To know more about kinetic energy, visit our Kinetic Energy calculator.

### Example

For a more clear understanding of concepts, let us have an example below:

Suppose a wheel has 1600 kg.m^{2} moment of inertia is rotating at 6 radians.s^{-1}. Find out the rotational kinetic energy of the wheel.

**Given data**

Moment of inertia = 1600 kg.m^{2}

Angular velocity = 6 radians.s^{-1}

**To Find**

The rotational kinetic energy of the wheel = ?

**Solution**

To find the energy in a rotating wheel, we can use the formula listed below:

KR = 1/2 (Iω^{2})

Putting values in formula above:

KR = 1/2 ((1600kg.m^{2}) (6radians.s^{-1})^{2}) = 1/2 ((1600kg.m^{2})(36s^{-2}))

Rotational kinetic energy = 28800 kg.m^{2}.s^{-2}= 28800 J

### How to use Rotational Kinetic Energy Calculator?

The steps to use a rotational kinetic energy calculator are as follows:

**Step 1: **Enter the value of the moment of inertia in the first required input.

**Step 2: **Enter the value of angular velocity in the second required input.

**Step 3: **The calculator will automatically display an answer on the screen.

### Calculator use

This rotational kinetic energy calculator is made to evaluate the energy passed by a rotating object. If you want to use this calculator, enter the required values, and it will display the answer on the screen.