Convert Degrees per hour to Revolutions per minute

Convert Degrees per hour (°/h) to Revolutions per minute (rpm) instantly and accurately.

Degrees per hour (°/h)
Revolutions per minute (rpm)

Conversion Formula

rpm = °/h × 4.629629630e-5

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.

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

Degrees per hour (°/h)Revolutions per minute (rpm)
1 °/h4.63 × 10-5 rpm
2 °/h9.259 × 10-5 rpm
5 °/h0.000231481 rpm
10 °/h0.000462963 rpm
25 °/h0.00115741 rpm
50 °/h0.00231481 rpm
100 °/h0.00462963 rpm

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