Calculadora de Aceleração Angular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
α = Δω/Δt
About this calculator
The Angular Acceleration Calculator determines the average angular acceleration (α) of a rotating body, calculated from the change in angular velocity (Δω) divided by the time interval (Δt). The formula used is α = Δω/Δt, where Δω is the difference between final and initial angular velocity, and Δt is the elapsed time. The result is expressed in radians per second squared (rad/s²).
This tool is useful for physics students, engineers, and professionals working with rotational systems such as motors, turbines, wheels, or any rotating object. For example, analyzing the acceleration of a fan when turning on or off, or the motion of a flywheel. It helps understand how rotational speed varies over time.
To use the calculator, input the initial and final angular velocities (in rad/s) and the time interval (in seconds). The tool automatically calculates the angular acceleration. Remember that angular acceleration can be positive (speed increase) or negative (deceleration). Ensure consistent units for accurate results.
Common precautions include verifying that angular velocities have consistent signs (same direction) and that the time interval is positive. For non-constant acceleration, the result is the average angular acceleration, not instantaneous. For uniformly accelerated rotational motion, this formula is exact.
Frequently asked questions
What is angular acceleration?
It is the rate of change of angular velocity with respect to time, measured in rad/s².
Can I use this calculator for deceleration?
Yes, if the final angular velocity is less than the initial, the result will be negative, indicating deceleration.
What units should I use?
Use rad/s for angular velocity and seconds for time. The result is in rad/s².
Is the calculated angular acceleration instantaneous?
No, it is the average angular acceleration over the given time interval.
Can I use degrees per second?
The formula expects rad/s. Convert degrees to radians (1° = π/180 rad) before entering.