Convert Radians per minute to Degrees per hour

Convert Radians per minute (rad/min) to Degrees per hour (°/h) instantly and accurately.

Radians per minute (rad/min)
Degrees per hour (°/h)

Conversion Formula

°/h = rad/min × 3437.746771

About Radians per minute

The radian per minute (rad/min) equals 1/60 rad/s ≈ 0.01667 rad/s, convenient for wind turbine rotors and slow industrial drives. Large direct-drive offshore wind turbines (14-15 MW, e.g. Siemens Gamesa SG 14-222, Vestas V236) rotate at 4-15 rad/min (0.064-0.24 rpm). Pharmaceutical coating pans rotate at 0.5-10 rad/min; large CNC rotary tables for turbine disc machining run at 0.2-8 rad/min. VLT 8.2 m telescope tracks stars at the sidereal rate π/720 ≈ 0.00436 rad/min. 1 rad/min = 1/60 rad/s ≈ 0.1592 rpm.

About Degrees per hour

The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.

Quick Reference Table

Radians per minute (rad/min)Degrees per hour (°/h)
1 rad/min3437.75 °/h
2 rad/min6875.49 °/h
5 rad/min17188.7 °/h
10 rad/min34377.5 °/h
25 rad/min85943.7 °/h
50 rad/min171887 °/h
100 rad/min343775 °/h

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