Convert Nanoradians per second squared to Revolutions per minute per second
Convert Nanoradians per second squared (nrad/s²) to Revolutions per minute per second (rpm/s) instantly and accurately.
Conversion Formula
rpm/s = nrad/s² × 9.549296586e-9
About Nanoradians per second squared
The nanoradian per second squared (nrad/s²) equals 10⁻⁹ rad/s², measuring imperceptibly gradual changes in rotation rate. Precision spacecraft attitude-control systems operate in this range during ultra-slow slew manoeuvres; GRACE-FO drag-free cold-gas thrusters produced angular accelerations at the nrad/s² scale. Ring laser gyroscopes monitoring Earth's polar motion require resolving nrad/s² variations. 1 nrad/s² = 10⁻⁹ rad/s² ≈ 1.02 × 10⁻⁹ rpm/s.
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.
Quick Reference Table
| Nanoradians per second squared (nrad/s²) | Revolutions per minute per second (rpm/s) |
|---|---|
| 1 nrad/s² | 9.549 × 10-9 rpm/s |
| 2 nrad/s² | 1.91 × 10-8 rpm/s |
| 5 nrad/s² | 4.775 × 10-8 rpm/s |
| 10 nrad/s² | 9.549 × 10-8 rpm/s |
| 25 nrad/s² | 2.387 × 10-7 rpm/s |
| 50 nrad/s² | 4.775 × 10-7 rpm/s |
| 100 nrad/s² | 9.549 × 10-7 rpm/s |