Convert Revolutions per second squared to Nanoradians per second squared
Convert Revolutions per second squared (rev/s²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = rev/s² × 6283185307
About Revolutions per second squared
The revolution per second squared (rev/s²) equals 2π ≈ 6.2832 rad/s², used for high-speed machines. Ultracentrifuge rotors (Beckman-Coulter Optima MAX-XP) reach 1333 rps operating speed, achieving angular acceleration of 2-5 rev/s² during run-up. Dental air turbines spinning at 400 rps accelerate at 50-200 rev/s² during the power stroke. 1 rev/s² = 2π rad/s² = 60 rpm/s = 360 °/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 second squared (rev/s²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 rev/s² | 6.283 × 109 nrad/s² |
| 2 rev/s² | 1.257 × 1010 nrad/s² |
| 5 rev/s² | 3.142 × 1010 nrad/s² |
| 10 rev/s² | 6.283 × 1010 nrad/s² |
| 25 rev/s² | 1.571 × 1011 nrad/s² |
| 50 rev/s² | 3.142 × 1011 nrad/s² |
| 100 rev/s² | 6.283 × 1011 nrad/s² |