What this calculator does
Angular Velocity works out rotational speed from the angle turned over time, plus linear speed at a given radius. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
Formulaω = Δθ/Δt; v = ωr; RPM = ω·60/(2π)
The inputs explained
| Field | What to enter |
|---|---|
| Angle turned (°) | A number, measured in °. Starts at 180. |
| Time taken (s) | A number, measured in s. Starts at 0.5. |
| Radius (for linear speed) (m) | A number, measured in m. Starts at 0.3. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with angle turned
Every other input is held at the calculator’s starting values while angle turned varies. Select any row to load that scenario into the calculator.
How the answer changes with angle turned