All 88 RPM to radians per second conversions
Every speed below has its own page with the calculation worked out step by step, plus the equivalent frequency, degrees per second and seconds per revolution. The range runs from 1 RPM = 0.1047 rad/s up to 20,000 RPM = 2094.4 rad/s.
rad/s = RPM × π/30 = RPM × 0.10471976
One revolution is 2π radians and one minute is 60 seconds, so 2π/60 simplifies to π/30. Need a value that is not listed? Use the calculator on the home page for any number.
Under 100 RPM
25 conversionsTurntables, rotisseries, potter's wheels and geared-down drives.
- 1 RPM= 0.1047 rad/s
- 2 RPM= 0.2094 rad/s
- 3 RPM= 0.3142 rad/s
- 4 RPM= 0.4189 rad/s
- 5 RPM= 0.5236 rad/s
- 6 RPM= 0.6283 rad/s
- 7 RPM= 0.733 rad/s
- 8 RPM= 0.8378 rad/s
- 9 RPM= 0.9425 rad/s
- 10 RPM= 1.047 rad/s
- 15 RPM= 1.571 rad/s
- 20 RPM= 2.094 rad/s
- 25 RPM= 2.618 rad/s
- 30 RPM= 3.142 rad/s
- 33 RPM= 3.456 rad/s
- 35 RPM= 3.665 rad/s
- 40 RPM= 4.189 rad/s
- 45 RPM= 4.712 rad/s
- 50 RPM= 5.236 rad/s
- 60 RPM= 6.283 rad/s
- 70 RPM= 7.33 rad/s
- 75 RPM= 7.854 rad/s
- 78 RPM= 8.168 rad/s
- 80 RPM= 8.378 rad/s
- 90 RPM= 9.425 rad/s
100 – 999 RPM
24 conversionsCeiling fans, washing-machine wash cycles and conveyor drives.
- 100 RPM= 10.472 rad/s
- 110 RPM= 11.519 rad/s
- 120 RPM= 12.566 rad/s
- 130 RPM= 13.614 rad/s
- 140 RPM= 14.661 rad/s
- 150 RPM= 15.708 rad/s
- 160 RPM= 16.755 rad/s
- 170 RPM= 17.802 rad/s
- 175 RPM= 18.326 rad/s
- 180 RPM= 18.85 rad/s
- 190 RPM= 19.897 rad/s
- 200 RPM= 20.944 rad/s
- 250 RPM= 26.18 rad/s
- 300 RPM= 31.416 rad/s
- 350 RPM= 36.652 rad/s
- 400 RPM= 41.888 rad/s
- 450 RPM= 47.124 rad/s
- 500 RPM= 52.36 rad/s
- 600 RPM= 62.832 rad/s
- 700 RPM= 73.304 rad/s
- 750 RPM= 78.54 rad/s
- 800 RPM= 83.776 rad/s
- 850 RPM= 89.012 rad/s
- 900 RPM= 94.248 rad/s
1,000 – 4,999 RPM
20 conversionsInduction-motor nameplate speeds, spin cycles and power tools.
- 1,000 RPM= 104.72 rad/s
- 1,200 RPM= 125.66 rad/s
- 1,400 RPM= 146.61 rad/s
- 1,450 RPM= 151.84 rad/s
- 1,500 RPM= 157.08 rad/s
- 1,750 RPM= 183.26 rad/s
- 1,800 RPM= 188.5 rad/s
- 2,000 RPM= 209.44 rad/s
- 2,200 RPM= 230.38 rad/s
- 2,400 RPM= 251.33 rad/s
- 2,500 RPM= 261.8 rad/s
- 2,800 RPM= 293.22 rad/s
- 2,900 RPM= 303.69 rad/s
- 3,000 RPM= 314.16 rad/s
- 3,200 RPM= 335.1 rad/s
- 3,400 RPM= 356.05 rad/s
- 3,500 RPM= 366.52 rad/s
- 3,600 RPM= 376.99 rad/s
- 4,000 RPM= 418.88 rad/s
- 4,500 RPM= 471.24 rad/s
5,000 RPM and above
19 conversionsHard-drive spindles, engine redlines, grinders and turbomachinery.
- 5,000 RPM= 523.6 rad/s
- 5,400 RPM= 565.49 rad/s
- 5,500 RPM= 575.96 rad/s
- 6,000 RPM= 628.32 rad/s
- 6,500 RPM= 680.68 rad/s
- 7,000 RPM= 733.04 rad/s
- 7,200 RPM= 753.98 rad/s
- 7,500 RPM= 785.4 rad/s
- 8,000 RPM= 837.76 rad/s
- 8,500 RPM= 890.12 rad/s
- 9,000 RPM= 942.48 rad/s
- 10,000 RPM= 1047.2 rad/s
- 11,000 RPM= 1151.9 rad/s
- 12,000 RPM= 1256.6 rad/s
- 14,000 RPM= 1466.1 rad/s
- 15,000 RPM= 1570.8 rad/s
- 16,000 RPM= 1675.5 rad/s
- 18,000 RPM= 1885 rad/s
- 20,000 RPM= 2094.4 rad/s