# Angular Acceleration Calculator

Use our free Angular Acceleration Calculator to determine an object's angular acceleration utilising angular velocity acceleration, tangential acceleration, and radius methods. By just entering the relevant information and pressing the calculate button, you can obtain the desired result quickly and easily.

**Angular Acceleration Calculator:** Do you require assistance in calculating an object's angular acceleration? Then we're here to assist you with your angular acceleration issues. Take a look at the free tool that makes calculating angular acceleration simple. Check out the parts below for a step-by-step guide on how to manually calculate angular acceleration. For a better understanding of the concept, look over the solved examples and formulas.

### What is Angular Acceleration?

When you know the starting and final angular velocities and time, or the tangential acceleration and radius, follow these simple procedures to calculate the angular acceleration.

### Radius Method & Tangential Acceleration

- Calculate the radius and tangential acceleration using the information provided in the question.
- Convert the values to the same measurement units.
- To calculate the angular acceleration, divide the tangential acceleration by the radius.

### Method of Angular Acceleration Velocity

- Get the object's starting and final angular velocity, as well as the amount of time it takes to move it.
- Subtract the final angular velocity from the initial angular velocity to get the final angular velocity.
- To calculate the angular acceleration, divide the value by time.

### Angular Acceleration Formula

The rate of change of angular velocity concerning the time it takes for an item to move is known as angular acceleration. It's also known as rotational acceleration, and it's represented by the symbol α. The radian per second square is the SI unit of angular acceleration.

The following are some useful formulas for calculating angular acceleration. The formula for Angular Velocity Acceleration is

- α = (ω₂ - ω₁) / t
- t = (ω₂ - ω₁) /α
- ω₂ = (α x t) + ω₁
- ω₁ = ω₂/(α x t)

The Formula for Tangential acceleration and radius is α = a / R a = α x R R = a / α

- Where, α = angular acceleration or rotational acceleration
- a = tangential acceleration
- R = radius of the circle
- ω₁ = initial angular velocity
- ω₂ = final angular velocity
- t = time of change of angular velocity

### How to Use the Angular Acceleration Calculator?

The following is the procedure how to use the angular acceleration calculator

- Step 1: In the input area, enter the initial and final angular velocity, time, and x for the unknown value.
- Step 2: To receive the result, click the "Calculate x" button.
- Step 3: Finally, the output field will show the angular acceleration of the rotating object.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### Angular Acceleration Examples

**Question 1:** An object starts rotation with an angular velocity of 8 rad/s and attains an angular velocity of 20 rad/s in 15 sec. Find the angular acceleration of an object?

**Solution:**

Given that

Initial angular velocity ω₁ = 8 rad/s

Final angular velocity ω₂ = 20 rad/s

Time t = 15 seconds

Angular acceleration formula is α = (ω₂ - ω₁) / t

Substitute the values

α = (20 - 8) / 15

= 12/15

= 0.8 rad/s²

Hence, the angular acceleration of the rotating acceleration is 0.8 rad/s².

### FAQs on Angular Acceleration Calculator

**1. What are the angular acceleration dimensions?**

The change in angular acceleration for time is referred to as angular acceleration. [M0L0T–2] is a dimensional formula.

**2. Is there a difference between angular and centripetal acceleration? **

The centripetal acceleration in a circular motion takes the direction towards the centre, which fluctuates throughout the circulation, whereas the angular acceleration takes the direction of the corkscrew law, which is a constant.

**3. What is the minute hand's angular velocity?**

The minute hand on a clock has an angular velocity of 1800 rad/s.

**4. Is angular acceleration torque?**

Torque is necessary to achieve an angular acceleration of an item in rotational motion. The product of the moment of inertia and the angular acceleration is the torque on a given axis. Torque is measured in Newton-meters (Nm).