Angular Acceleration Calculator

Enter initial and final angular velocity plus elapsed time to compute angular acceleration in rad/s².

Input Values

Results

Enter values and click Calculate

Formula Reference

α = Δω / t

Core definition

Δω = ω − ω₀

Change in angular velocity

1 RPM = 2π/60 rad/s

Unit conversion

Copied!

Summary

Enter initial and final angular velocity plus elapsed time to compute angular acceleration in rad/s².

How it works

  1. Enter the initial angular velocity (ω₀) and select its unit.
  2. Enter the final angular velocity (ω) and select its unit.
  3. Enter the elapsed time interval (t) in seconds.
  4. Click Calculate — the tool computes α = (ω − ω₀) / t.
  5. Results are shown in rad/s², deg/s², and rev/s².

Use cases

  • Physics homework and lab reports on rotational dynamics.
  • Engineering analysis of motors, turbines, and rotating machinery.
  • Robotics — calculating servo or wheel acceleration profiles.
  • Automotive — analyzing crankshaft or wheel angular acceleration.
  • Sports science — computing bat, racket, or discus spin-up rates.
  • Simulation and game physics for rotating rigid bodies.

Frequently Asked Questions

Last updated: 2026-06-11 · Reviewed by Nham Vu