Angular Acceleration Calculator

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.” 

Angular acceleration formula

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 kgm².

Solution:

Step 1: Identify the values.

T = 30 rad s^-1

I = 10 kgm²

Step 2: Put the values into the formula.

α = T/I

α = 30/10

α = 3 rad s^-2