Radian per Second (rad/s)
The radian per second (rad/s) is the SI unit of angular velocity — how fast an angle increases, in radians per second.
Radians per second describe servo motors, robotics joint speeds, and physics problems in SI units.
Radian per Second to Revolution per Minute (RPM)
Convert radian per second to revolution per minute (rpm) instantly. Type in either field — results update live.
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Angular Velocity Radian per Second Revolution per Minute (RPM)
1 radian per second = 9.5492965873 RPM
Unit
Unit
Conversion table
Selected rad/s values converted to RPM using the exact factor from this tool.
| rad/s | RPM |
|---|---|
| 0.01 | 0.0954929659 |
| 0.1 | 0.9549296587 |
| 1 | 9.5492965873 |
| 2 | 19.0985931746 |
| 3 | 28.6478897619 |
| 5 | 47.7464829365 |
| 10 | 95.4929658731 |
| 20 | 190.9859317461 |
| 50 | 477.4648293653 |
| 100 | 954.9296587306 |
| 1,000 | 9,549.2965873065 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 rad/s = 9.5492965873 RPM
1 RPM = 0.1047197551 rad/s
To convert radian per second to revolution per minute (rpm), multiply by 9.5492965873.
To convert revolution per minute (rpm) to radian per second, multiply by 0.1047197551.
Example: convert 10 rad/s to RPM
10 × 9.5492965873 = 95.4929658731 RPM
About these units
Short background on the units used in this conversion.
Revolution per Minute (RPM) (RPM)
Revolutions per minute (RPM) count how many full turns an object completes each minute — a practical rate for motors and engines.
RPM appears on vehicle tachometers, drill labels, turntable specs, and industrial motor nameplates worldwide.
Frequently asked questions
How many RPM are in one radian per second?
One radian per second equals 9.5492965873 RPM. Multiply your radians per second value by 9.5492965873 to convert to RPM.
What is the conversion formula?
RPM = rad/s × 9.5492965873The reverse is
rad/s = RPM × 0.1047197551, using the same exact factors as this converter.Is this Radian per Second to Revolution per Minute (RPM) converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.
All radian per second conversions
Jump to any angular velocity conversion starting from radian per second — including the reverse direction and every other unit in our dataset.
revolution per minute (rpm) (RPM) → radian per second (rad/s)
radian per second (rad/s) → degree per second (°/s)radian per second (rad/s) → revolution per second (rev/s)radian per second (rad/s) → radian per minute (rad/min)radian per second (rad/s) → degree per minute (°/min)radian per second (rad/s) → radian per hour (rad/h)radian per second (rad/s) → degree per hour (°/h)radian per second (rad/s) → revolution per hour (rev/h)radian per second (rad/s) → radian per day (rad/d)radian per second (rad/s) → degree per day (°/d)radian per second (rad/s) → revolution per day (rev/d)