Convert Nanoradians per second to Revolutions per second
Convert Nanoradians per second (nrad/s) to Revolutions per second (rps) instantly and accurately.
Conversion Formula
rps = nrad/s × 1.591549431e-10
About Nanoradians per second
The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.
About Revolutions per second
The revolution per second (rps) equals 2π rad/s ≈ 6.283 rad/s = 60 rpm, used for high-speed machines where rpm values become unwieldy. Numerically equal to hertz (Hz): a 100 rps rotor produces 100 Hz unbalance vibration, directly readable on an FFT spectrum. Gas turbine HP spools (GE GEnx) operate at 100-200 rps at cruise. Ultracentrifuges (Beckman Optima MAX-XP) reach 1333 rps (80000 rpm, 600000 × g). NMR magic-angle spinning probes rotate solid samples at 5-170 rps. Dental air turbines peak at 400-800 rps. 1 rps = 2π rad/s = 60 rpm = 360 °/s.
Quick Reference Table
| Nanoradians per second (nrad/s) | Revolutions per second (rps) |
|---|---|
| 1 nrad/s | 1.592 × 10-10 rps |
| 2 nrad/s | 3.183 × 10-10 rps |
| 5 nrad/s | 7.958 × 10-10 rps |
| 10 nrad/s | 1.592 × 10-9 rps |
| 25 nrad/s | 3.979 × 10-9 rps |
| 50 nrad/s | 7.958 × 10-9 rps |
| 100 nrad/s | 1.592 × 10-8 rps |