1 rad/s = 9.5493 rpm (radian per second → revolution per minute)
1 rad/s = 9.5493 rpm
1 radian per second equals 9.5493 revolutions per minute. To convert radians per second to revolutions per minute, multiply the radian per second value by 9.5493. For quick reference: 1 rad/s = 9.5493 rpm, 5 rad/s = 47.7465 rpm, 10 rad/s = 95.493 rpm, 100 rad/s = 954.93 rpm.
Revolutions per minute = Radians per second × 9.5493Start with your value in radians per second.
Multiply the radian per second value by 9.5493. This is the exact conversion factor from radians per second to revolutions per minute.
The product is your value in revolutions per minute. For example, 5 rad/s × 9.5493 = 47.7465 rpm.
The exact factor from radians per second to revolutions per minute is 9.5493.
Revolutions per minute = Radians per second × 9.5493
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
| Radians per second (rad/s) | Revolutions per minute (rpm) |
|---|---|
| 0.1 rad/s | 0.95493 rpm |
| 0.25 rad/s | 2.3873 rpm |
| 0.5 rad/s | 4.7746 rpm |
| 1 rad/s | 9.5493 rpm |
| 2 rad/s | 19.099 rpm |
| 3 rad/s | 28.648 rpm |
| 4 rad/s | 38.197 rpm |
| 5 rad/s | 47.746 rpm |
| 6 rad/s | 57.296 rpm |
| 7 rad/s | 66.845 rpm |
| 8 rad/s | 76.394 rpm |
| 9 rad/s | 85.944 rpm |
| 10 rad/s | 95.493 rpm |
| 11 rad/s | 105.04 rpm |
| 12 rad/s | 114.59 rpm |
| 13 rad/s | 124.14 rpm |
| 14 rad/s | 133.69 rpm |
| 15 rad/s | 143.24 rpm |
| 16 rad/s | 152.79 rpm |
| 18 rad/s | 171.89 rpm |
| 20 rad/s | 190.99 rpm |
| 22 rad/s | 210.08 rpm |
| 24 rad/s | 229.18 rpm |
| 25 rad/s | 238.73 rpm |
| 28 rad/s | 267.38 rpm |
| 30 rad/s | 286.48 rpm |
| 32 rad/s | 305.58 rpm |
| 36 rad/s | 343.77 rpm |
| 40 rad/s | 381.97 rpm |
| 45 rad/s | 429.72 rpm |
| 48 rad/s | 458.37 rpm |
| 50 rad/s | 477.46 rpm |
| 60 rad/s | 572.96 rpm |
| 70 rad/s | 668.45 rpm |
| 75 rad/s | 716.2 rpm |
| 80 rad/s | 763.94 rpm |
| 90 rad/s | 859.44 rpm |
| 100 rad/s | 954.93 rpm |
| 125 rad/s | 1193.7 rpm |
| 150 rad/s | 1432.4 rpm |
| 200 rad/s | 1909.9 rpm |
| 250 rad/s | 2387.3 rpm |
| 300 rad/s | 2864.8 rpm |
| 400 rad/s | 3819.7 rpm |
| 500 rad/s | 4774.6 rpm |
| 600 rad/s | 5729.6 rpm |
| 750 rad/s | 7162 rpm |
| 800 rad/s | 7639.4 rpm |
| 900 rad/s | 8594.4 rpm |
| 1000 rad/s | 9549.3 rpm |
A motor spinning at 1,000 RPM has an angular velocity of about 104.7 rad/s. Angular velocity in rotational-dynamics equations is conventionally expressed in rad/s. In revolutions per minute, that gives you: 1 rad/s = 9.5493 rpm, 10 rad/s = 95.493 rpm, 100 rad/s = 954.93 rpm.
The radian per second (rad/s) equals 1/(2π) Hz, since one full cycle sweeps out 2π radians. It is the standard unit for angular velocity in physics and control-systems engineering, distinct from RPM's mechanical-engineering convention.
Revolutions per minute (RPM) equals 1/60 Hz — one full rotation every 60 seconds' worth of a cycle. It is the standard unit for engine, motor, and turntable rotational speed in mechanical and automotive engineering.
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