# Angular Acceleration Calculator

## What is Angular Acceleration

Angular acceleration refers to the rate at which an object’s angular velocity changes with respect to time. It’s a measure of how quickly an object is speeding up or slowing down its rotational motion.

Our Angular Acceleration Calculator is a valuable online tool designed to simplify the calculation of angular acceleration in rotational motion. Whether you’re a student, engineer, or enthusiast, our calculator provides an efficient way to determine angular acceleration based on various input parameters. Let’s explore the calculator’s functionality and the formulas it employs to calculate angular acceleration.

## Calculating Angular Acceleration:

**The calculator offers different formulas to calculate angular acceleration based on the available input parameters:**

- Angular Acceleration Formula:
- Formula: α = (ω – ω₀) / t
- Description: This formula calculates the angular acceleration (α) by subtracting the initial angular velocity (ω₀) from the final angular velocity (ω) and dividing the result by the time (t) taken for the change.

- Angular Acceleration Formula with Radius:
- Formula: α = (ω – ω₀) / t = (v/r – v₀/r₀) / t
- Description: In cases where linear velocity (v) and radius (r) are known, this formula incorporates the linear velocity divided by the radius to calculate angular acceleration.

- Constant Angular Acceleration Formula:
- Formula: α = Δω / Δt
- Description: When the angular velocity changes uniformly over time, this formula calculates angular acceleration (α) by dividing the change in angular velocity (Δω) by the change in time (Δt).

- Instantaneous Angular Acceleration Calculator:
- Description: For instantaneous angular acceleration calculations, please provide the appropriate values in the input fields for initial angular velocity (ω₀), final angular velocity (ω), and time (t).