To calculate angular acceleration, input the values of torque and moment of inertia in the angular acceleration calculator.

This angular acceleration calculator helps to find the acceleration of a rotating body if the moment of inertia and total torque are given.

## What is Angular Acceleration?

According to Wikipedia:

“Angular acceleration refers to the time rate of change of angular velocity.”

In simple words,

“It is the rotation of a rigid body about a fixed center point.”

The equation used for the calculation of angular acceleration is:

**α**** = T/I**

Where,

**α** represents angular acceleration,

**T** represents torque, and

**I** is moment of inertia.

The formula used in this calculator is related to tangential acceleration as:

**α**_{t} = αr

Where, **α**_{t} is tangential acceleration.

## How to find angular acceleration?

*Example*

Calculate angular acceleration if the body rotates at *30* radians per second and the moment of inertia is *10 kgm*^{2}.

**Solution**:

**Step 1:** Identify the values.

T = 30 rad s^{-1}

I = 10 kgm^{2}

**Step 2:** Put the values into the formula.

α = T/I

α = 30/10

**α** **= 3 rad s**^{-2}