Convert Radians per minute per second to Nanoradians per second squared

Convert Radians per minute per second (rad/min/s) to Nanoradians per second squared (nrad/s²) instantly and accurately.

Radians per minute per second (rad/min/s)
Nanoradians per second squared (nrad/s²)

Conversion Formula

nrad/s² = rad/min/s × 16666666.67

About Radians per minute per second

The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 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

Radians per minute per second (rad/min/s)Nanoradians per second squared (nrad/s²)
1 rad/min/s16666700 nrad/s²
2 rad/min/s33333300 nrad/s²
5 rad/min/s83333300 nrad/s²
10 rad/min/s166667000 nrad/s²
25 rad/min/s416667000 nrad/s²
50 rad/min/s833333000 nrad/s²
100 rad/min/s1.667 × 109 nrad/s²

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