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Angular velocity — how fast something rotates — shows up in different units depending on the field: RPM (revolutions per minute) is standard for engines and motors, while radians per second is the standard unit in physics and engineering equations.
This calculator converts between RPM, radians per second, degrees per second, and revolutions per second.
How it works
Enter a value and select the unit you're converting from and to. The tool converts your value to a common base unit, then to your target unit.
- Enter value.
- Enter from.
- Enter to.
- Click Calculate to see your results.
Examples
A motor spinning at 3,000 RPM
3,000 RPM converts to about 314.16 radians per second.
Who should use it
- Converting a motor or engine's RPM rating into radians per second for a physics or engineering calculation.
- Comparing rotation speeds given in different units across different equipment specs.
Industry applications
- Mechanical and electrical engineering
- Physics and robotics
Advantages
- Covers all four common angular velocity units in one tool.
- Simple, exact conversions with no rounding ambiguity.
Limitations
- Doesn't convert to/from linear velocity (which also requires a radius) — this tool handles pure angular velocity units only.
Common mistakes to avoid
- Confusing RPM (per minute) with revolutions per second (per second) — a factor-of-60 mistake that's easy to make when converting by hand.
Best practices
- Use radians per second when working with physics or engineering formulas, and RPM when describing everyday rotation speed (like an engine or a drill).
Tips
- To find linear (tangential) speed from angular velocity, multiply the angular velocity in radians per second by the radius — this converter handles the angular part only.