Convert Nanoradians per second to Revolutions per minute
Convert Nanoradians per second (nrad/s) to Revolutions per minute (rpm) instantly and accurately.
Conversion Formula
rpm = nrad/s × 9.549296586e-9
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 minute
The revolution per minute (rpm) equals π/30 rad/s ≈ 0.1047 rad/s, the most universally recognised rotational speed unit in mechanical engineering. Common references: car petrol engines idle at 600-900 rpm, redline at 5500-8500 rpm; large marine diesel engines run at 75-120 rpm; electric induction motor synchronous speed = 60f/p rpm (3000 rpm at 50 Hz, 2-pole); hard drives at 5400-15000 rpm; dental turbines up to 400000 rpm; washing machine spin 400-1600 rpm. ISO 6336 and ANSI/AGMA gear standards use rpm throughout. 1 rpm = π/30 rad/s = 6 °/s = 1/60 rps.
Quick Reference Table
| Nanoradians per second (nrad/s) | Revolutions per minute (rpm) |
|---|---|
| 1 nrad/s | 9.549 × 10-9 rpm |
| 2 nrad/s | 1.91 × 10-8 rpm |
| 5 nrad/s | 4.775 × 10-8 rpm |
| 10 nrad/s | 9.549 × 10-8 rpm |
| 25 nrad/s | 2.387 × 10-7 rpm |
| 50 nrad/s | 4.775 × 10-7 rpm |
| 100 nrad/s | 9.549 × 10-7 rpm |