How to use the rpm to angular velocity calculator
Convert rotation rate to rad/s, frequency and rim speed. Enter rotation rate, radius in the fields above; the angular velocity, frequency, rim speed are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- rpm — Rotation rate (rpm)
- r — Radius (m)
Worked example
With rotation rate = 1200 rpm, radius = 0.25 m, the calculator gives angular velocity ≈ 125.6637 rad/s; frequency ≈ 20 Hz; rim speed ≈ 31.41593 m/s.
Frequently asked questions
What is the formula for the rpm to angular velocity calculation?
Angular velocity (rad/s) = rpm × 2 × π / 60. Frequency (Hz) = rpm / 60. Rim speed (m/s) = [Angular velocity] × r. Here rpm is rotation rate (rpm), r is radius (m).
What inputs do I need for the rpm to angular velocity calculator?
You need rotation rate in rpm, radius in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.