Convert Revolutions per second to Nanoradians per second
Convert Revolutions per second (rps) to Nanoradians per second (nrad/s) instantly and accurately.
Conversion Formula
nrad/s = rps × 6283185307
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.
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.
Quick Reference Table
| Revolutions per second (rps) | Nanoradians per second (nrad/s) |
|---|---|
| 1 rps | 6.283 × 109 nrad/s |
| 2 rps | 1.257 × 1010 nrad/s |
| 5 rps | 3.142 × 1010 nrad/s |
| 10 rps | 6.283 × 1010 nrad/s |
| 25 rps | 1.571 × 1011 nrad/s |
| 50 rps | 3.142 × 1011 nrad/s |
| 100 rps | 6.283 × 1011 nrad/s |