Convert Revolutions per minute squared to Nanoradians per second squared
Convert Revolutions per minute squared (rev/min²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = rev/min² × 1745329.252
About Revolutions per minute squared
The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ rad/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 squared (rev/min²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 rev/min² | 1745330 nrad/s² |
| 2 rev/min² | 3490660 nrad/s² |
| 5 rev/min² | 8726650 nrad/s² |
| 10 rev/min² | 17453300 nrad/s² |
| 25 rev/min² | 43633200 nrad/s² |
| 50 rev/min² | 87266500 nrad/s² |
| 100 rev/min² | 174533000 nrad/s² |