# Angular Acceleration Calculator

If you want to determine the ratio between a moment of inertia and the body's torque, you can use our angular acceleration calculator.

In Physics, angular acceleration is the **ratio** between the **change in angular velocity** and the **time **an **object carries** **during movement**. It is also known as rotational acceleration and is illustrated by **alpha (α)**. The System International unit used for angular acceleration is **rad/s ^{2}**.

**Table of Contents**

## Formula of Angular Acceleration Calculator

To determine the angular acceleration of an object, you can use the formula listed below or to get the solution, instantly jump to our free calculator.

α = Δω / Δt

**Where,**

Δω = difference between initial and final angular velocity

Δt = difference between a change in time.

### Example

For a more precise understanding, let us solve an example listed below:

Suppose if the torque wielded by an object at the rate of 26 rad/s where the moment of inertia is 0.2 kg.m^{2}, find an angular acceleration of the rotating object.

**Given data**

Torque = 26 rad/s

Moment of inertia = 0.2 kg.m^{2}

**To Find**

Angular acceleration = ?

**Solution**

To find the angular acceleration, we will use the formula listed below:

Angular acceleration = Torque / Moment of inertia

Putting values in the formula:

Angular acceleration = 26/0.2 = 130 rad/s^{2}.

### How to use Angular Acceleration Calculator?

The steps to use the angular acceleration are as follows:

**Step 1: **Enter the value of torque in the required input.

**Step 2: **Enter the value of the moment of inertia in the required input.

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

### Calculator use

You can use our angular acceleration calculator in various physics and other science principles to determine the acceleration of an object rotating in the angular direction, such as a car moving around a circle.