Convert Revolutions per minute per second to Nanoradians per second squared
Convert Revolutions per minute per second (rpm/s) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = rpm/s × 104719755.1
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 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.
Quick Reference Table
| Revolutions per minute per second (rpm/s) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 rpm/s | 104720000 nrad/s² |
| 2 rpm/s | 209440000 nrad/s² |
| 5 rpm/s | 523599000 nrad/s² |
| 10 rpm/s | 1.047 × 109 nrad/s² |
| 25 rpm/s | 2.618 × 109 nrad/s² |
| 50 rpm/s | 5.236 × 109 nrad/s² |
| 100 rpm/s | 1.047 × 1010 nrad/s² |