Angular Acceleration Calculator


Formula: Angular Acceleration(α) = τI 

Enter the unknown value as 'x'

Total Torque Exerted on the body(τ): rad/sec

Mass moment of inertia(I): kgm2/rad2

Angular Acceleration(α): rad/s2


x =

Angular Acceleration Calculator is a free online tool that displays the angular acceleration for the given moment of inertia and the torque exerted by the body. BYJU’S online angular acceleration calculator tool performs the calculation faster and it displays the value of angular acceleration in a fraction of seconds.

How to Use the Angular Acceleration Calculator? 

The procedure to use the angular acceleration calculator is as follows:

Step 1: Enter the torque, moment of inertia, and x for the unknown value in the input field

Step 2: Now click the button “Calculate x” to get the result

Step 3: Finally, the angular acceleration of the rotating object will be displayed in the output field

What is Meant by Angular Acceleration?

In Physics, the angular acceleration is also known as the rotational acceleration. The angular acceleration is defined as the ratio of the rate of change of angular velocity to the time taken by the object in motion. It is denoted by the letter alpha (α). The SI unit of angular acceleration is radian per second square (rad/s2). If the torque and the moment of inertia are given, then the angular acceleration is calculated by using the formula:

Angular acceleration = Torque / Moment of inertia 

If the angular velocity of the rotating object and the time is given, then the formula is

α = Δω/Δt

Where

Δω = Change in angular velocity

Δt = Change in time

Example: 

Find the angular acceleration of the rotating object if the torque exerted by the body is 26 rad/s and the moment of inertia is 0.2 kg.m2.

Solution:

Given:

Torque = 26

Moment of inertia = 0.2

We know that,

Angular acceleration = Torque/ Moment of inertia

Substitute the values in the formula, we get

Angular acceleration = 26/0.2

Angular acceleration = 130 rad/s2.

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