Convert Degrees per hour per second to Milliradians per second squared

Convert Degrees per hour per second (°/h/s) to Milliradians per second squared (mrad/s²) instantly and accurately.

Degrees per hour per second (°/h/s)
Milliradians per second squared (mrad/s²)

Conversion Formula

mrad/s² = °/h/s × 0.004848136811

About Degrees per hour per second

The degree per hour per second (°/h/s) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², numerically identical to 1 °/min². Gyroscope bias ramp rate - the rate at which drift error accelerates - is specified in °/h/s per IEEE 952-1997; strategic-grade fibre-optic inertial navigation units achieve values below 0.001 °/h/s. 1 °/h/s = π/648000 rad/s² ≈ 4.848 × 10⁻⁶ rad/s².

About Milliradians per second squared

The milliradian per second squared (mrad/s²) equals 10⁻³ rad/s², the natural unit for robotic joint angular acceleration. Industrial robot arms (KUKA KR 1000, ABB IRB 8700) run joint acceleration profiles of 50-500 mrad/s²; CNC machine spindle synchronisation algorithms generate 1-100 mrad/s². Optical phased-array beam-steering systems also operate in this range. 1 mrad/s² = 10⁻³ rad/s² ≈ 0.0573 °/s² ≈ 9.549 × 10⁻³ rpm/s.

Quick Reference Table

Degrees per hour per second (°/h/s)Milliradians per second squared (mrad/s²)
1 °/h/s0.00484814 mrad/s²
2 °/h/s0.00969627 mrad/s²
5 °/h/s0.0242407 mrad/s²
10 °/h/s0.0484814 mrad/s²
25 °/h/s0.121203 mrad/s²
50 °/h/s0.242407 mrad/s²
100 °/h/s0.484814 mrad/s²

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