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Angular Acceleration Calculator

Angular Acceleration Calculator


Choose the method:

Tangential acceleration (a)


Radius (R)


Angular acceleration (α)


Total torque (τ)


Mass moment of inertia (I)


Initial angular velocity


Final angular velocity





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Use this angular acceleration calculator that employs various formulas to calculate angular acceleration of an object moving along a circular path. Not only this, but you are going to get detailed calculations for the tangential velocity of rounding motion in a particular direction while using this tangential acceleration calculator.

So let’s go through the concept of this particular physical quantity, its equation, and different units in detail.

Time to move on!

What Is Angular Acceleration?

Describing physically:

“The changing velocity of a body about a circular path at specified angle is known as the angular acceleration”

angular acceleration


Angular Acceleration Formula:

Our free angular acceleration calculator is making use of a couple of different angular acceleration equations to determine this physical entity. These include:

α = (ω₂ – ω₁) / t


α = a / R


α = Angular Acceleration

\(ω_{1}\) = Initial Angular Velocity

\(ω_{2}\) = Final Angular Velocity

t = Time required for velocity change

a = Linear Acceleration (Tangential) that you can also determine more accurately by using another acceleration calculator.

R = Circle Radius

The free tangential acceleration calculator also makes use of the same equation for angular acceleration to calculate the results and display on your device screen.

Angular Acceleration Units:

In different system of measurement, the units used for rotational acceleration are interchanged as follows:

\(\frac{rad}{s^{2}}\) or \(\frac{\text{o}}{s^{2}}\)
Sometimes, the numerator is also excluded to write units as \(\frac{1}{s^{2}}\) or \(\frac{Hz}{s}\)

How To Find Angular Acceleration?

Let’s go and resolve an example below to understand how we could calculate angular acceleration manually. Move on!

Example # 01:

A car starts running in a race. The lap is circular and the car moves with the initial angular velocity of about 4 rad/sec. While the race ends after 70 minutes and the maximum final angular velocity of it is 78 rad/sec. How to calculate angular acceleration?


Performing angular acceleration calculations:

α = (ω₂ – ω₁) / t

α = (78 – 4) / 70

α = 1.05 rad/sec^2

How Angular Acceleration Calculator Works?

Let’s learn together how we could do instant angular acceleration calculations by using this tangential acceleration calculator. Move on!


  • From the first list, select the method for calculating angular acceleration
  • After you do that, select the parameter you wish to determine that can be either angular acceleration or other related ones
  • After you are done with your selections, it’s time to provide the necessary entities in their respective fields with units selected
  • At last, hit the calculate button


The free average angular acceleration calculator does the following calculations:

  • Calculate angular acceleration using different formulas
  • Radius of the circle
  • Tangential acceleration as well
  • Step by step calculations are also displayed


How is angular acceleration related to torque?

There lies a direct relation among both of these quantities that could easily be analysed by using this online angular acceleration calculator torque.

What causes angular acceleration?

It’s torque that lets the object or any body move around the circular path about a certain axis.

Is angular acceleration constant?

It is linear acceleration that actually changes with time. This is because it does depend upon the time factor and changes its value at every upcoming instant. While when it comes to the angular acceleration, it does not depend upon the change in time and thus remains constant.

Why is angular acceleration negative?

Yes it can be! In fact, angular acceleration can be both positive and negative. The fact to remember here is that it is considered positive when increased counterclockwise or decreased clockwise. On the other hand, it is considered negative when increased clockwise and decreased counterclockwise. And for the calculations, you may be subject to this free calculator to estimate what kind of nature you are discussing.

Is centripetal acceleration same as angular acceleration?

No, it is not! The centripetal acceleration is always produced towards the centre of the circular path and keeps on changing. While on the other hand, the angular acceleration is produced in a fixed direction. Here for determining the centripetal acceleration, we advise you to make use of another centripetal force calculator that is specifically designed for this purpose.

Is angular velocity and angular acceleration the same?

No. whether we can say both of these terms are interconnected. Where the angular velocity is the rate of change of the angular displacement, the angular acceleration is the changing rate at which the angular velocity itself is changed.


The concept of angular acceleration allows us to grab the technicalities like displacements, velocities and time change with respect to the time. And these parameters are so crucial to analyse the circular motions of the satellites, ballistic missiles, and any object launched in such a path. And that is why we have programmed this free angular acceleration calculator torque so as to keep relating the movements in round paths.


From the source of Wikipedia: Angular acceleration, Orbital angular acceleration of a point particle, Particle in two dimensions, Relation to torque 

From the source of Khan Academy: Angular second law, Predicting rotational inertia, moment of inertia

From the source of Lumen Learning: Rotation with Constant Angular Acceleration, Kinematics of Rotational Motion, Applying the Equations for Rotational Motion, Translational Quantities