Degrees per second to revolutions per minute
Type a value in degrees per second to see it in revolutions per minute straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the degrees per second box.
- Read the result in revolutions per minute as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
rpm = °/s × 0.1666666667
Multiply the value in degrees per second by 0.1666666667 to get revolutions per minute.
Example
To convert 25 °/s to revolutions per minute: 25 × 0.1666666667 = 4.16667 rpm.
Conversion table
| Degrees per second (°/s) | Revolutions per minute (rpm) |
|---|---|
| 1 | 0.166667 |
| 2 | 0.333333 |
| 3 | 0.5 |
| 5 | 0.833333 |
| 10 | 1.66667 |
| 20 | 3.33333 |
| 25 | 4.16667 |
| 50 | 8.33333 |
| 100 | 16.6667 |
| 250 | 41.6667 |
| 500 | 83.3333 |
| 1,000 | 166.667 |
About the units
- Degree per second
- Turning one degree each second, where a degree is π/180 rad, about 0.0174533 rad/s. It is used for gyroscope sensors and servo motors.
- Revolution per minute
- Full turns per minute, with each turn 2π radians, so 1 rpm is exactly 2π/60 rad/s (about 0.10472). It is the unit on engine tachometers, drills and washing machines.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many revolutions per minute are in one degree per second?
1 °/s = 0.166667 rpm exactly.
How do I convert degrees per second to revolutions per minute?
Use rpm = °/s × 0.1666666667. For example, 25 °/s = 4.16667 rpm.
How many degrees per second are in one revolution per minute?
1 rpm = 6 °/s.
How do I convert rpm to radians per second?
Multiply the rpm by 2π and divide by 60. For example 3000 rpm is 100π, about 314.16 rad/s.
Is angular speed the same as frequency in hertz?
No. Frequency counts turns per second, while angular speed in rad/s is the frequency times 2π. So a rotation at 1 Hz is 6.2832 rad/s.