Angular Velocity Calculator
Find average angular velocity about a fixed axis from signed angular displacement and elapsed time.
Formula
ω̄ = Δθ/Δt; rpm = ω̄ × 30/π.
Elapsed time: 2 s · Angular velocity ≈ (6)÷(2 s) · Revolutions per minute ≈ (3)×30÷pi
How to use
- Choose the positive rotation direction.
- Enter angular displacement and positive time.
- Read rad/s and revolutions per minute.
Examples
- One full turn in 1 s is about 6.283185 rad/s or 60 rpm.
Frequently asked questions
Should I enter only the final angle?
Enter total signed angular displacement, including complete turns.
Is this instantaneous angular velocity?
Only when rotation is uniform; otherwise the result is an interval average.
What does a negative value mean?
Rotation is opposite to your chosen positive direction.
Sources
Updated: