Convert Revolutions per second to Radians per second
Revolutions per second → Radians per second
rps × 6.283185 = rad/s
rad/s × 0.1591549 = rps
To convert revolutions per second (rps) to radians per second (rad/s), multiply the revolutions per second value by 6.283185. 1 rps = 6.283185 rad/s, and 1 rad/s = 0.1591549 rps. The conversion is a linear scaling with no offset, so the same factor applies to any value.
Going the other way? Convert rad/s to rps.
rps to rad/s table
| Revolutions per second (rps) | Radians per second (rad/s) |
|---|---|
| 0.1 rps | 0.6283185 rad/s |
| 0.5 rps | 3.141593 rad/s |
| 1 rps | 6.283185 rad/s |
| 2 rps | 12.56637 rad/s |
| 5 rps | 31.41593 rad/s |
| 10 rps | 62.83185 rad/s |
| 20 rps | 125.6637 rad/s |
| 50 rps | 314.1593 rad/s |
| 100 rps | 628.3185 rad/s |
| 500 rps | 3141.593 rad/s |
| 1000 rps | 6283.185 rad/s |
Related rotational speed conversions
More from rps
rps to rpm
Convert Revolutions per second to Revolutions per minute
rps to °/s
Convert Revolutions per second to Degrees per second
rps to min⁻¹
Convert Revolutions per second to Inverse minutes (ISO)
rps to krpm
Convert Revolutions per second to Kilorevolutions per minute
More to rad/s
Common rotational speed ranges
Typical real-world values (rpm)
| Application | Typical range |
|---|---|
| Large servo motor | 500 – 2,000 rpm |
| Standard servo motor | 2,000 – 6,000 rpm |
| High-speed spindle | 10,000 – 60,000 rpm |
| Micro motor (dentistry) | 50,000 – 300,000 rpm |
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