Convert Revolutions per minute per second to Radians per minute per second
Convert Revolutions per minute per second (rpm/s) to Radians per minute per second (rad/min/s) instantly and accurately.
Conversion Formula
rad/min/s = rpm/s × 6.283185307
About Revolutions per minute per second
The revolution per minute per second (rpm/s) equals π/30 ≈ 0.10472 rad/s², the dominant unit in motor and drivetrain data sheets. A petrol engine from idle to 5000 rpm in 3 s accelerates at ≈1667 rpm/s; electric car motors achieve up to 15000 rpm/s in torque-vectoring mode; washing machine spin-up from 0 to 1200 rpm in 40 s = 30 rpm/s. IEC 61800-2 servo drive specifications quote peak angular acceleration in rpm/s. 1 rpm/s = π/30 rad/s² = 6 °/s².
About Radians per minute per second
The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 rad/s².
Quick Reference Table
| Revolutions per minute per second (rpm/s) | Radians per minute per second (rad/min/s) |
|---|---|
| 1 rpm/s | 6.28319 rad/min/s |
| 2 rpm/s | 12.5664 rad/min/s |
| 5 rpm/s | 31.4159 rad/min/s |
| 10 rpm/s | 62.8319 rad/min/s |
| 25 rpm/s | 157.08 rad/min/s |
| 50 rpm/s | 314.159 rad/min/s |
| 100 rpm/s | 628.319 rad/min/s |