How to convert revolutions per second to radians per second
rad/s = rev/s × 6.283185307Multiply the value in revolutions per second by 6.283185307. To go the other way, multiply by 0.1591549431 (or divide by 6.283185307).
A revolution per second is larger than a radian per second: one revolution per second contains 6.283185307 radians per second.
Worked examples
- 1 revolution per second1 rev/s × 6.283185307 = 6.283185307 rad/s
- 5 revolutions per second5 rev/s × 6.283185307 = 31.41592654 rad/s
- 10 revolutions per second10 rev/s × 6.283185307 = 62.83185307 rad/s
- 20 revolutions per second20 rev/s × 6.283185307 = 125.6637061 rad/s
- 100 revolutions per second100 rev/s × 6.283185307 = 628.3185307 rad/s
Revolutions per second to radians per second conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Revolutions per second (rev/s) | Radians per second (rad/s) |
|---|---|
| 0.1 rev/s | 0.62831853 rad/s |
| 0.25 rev/s | 1.5707963 rad/s |
| 0.5 rev/s | 3.1415927 rad/s |
| 1 rev/s | 6.2831853 rad/s |
| 2 rev/s | 12.566371 rad/s |
| 3 rev/s | 18.849556 rad/s |
| 4 rev/s | 25.132741 rad/s |
| 5 rev/s | 31.415927 rad/s |
| 6 rev/s | 37.699112 rad/s |
| 7 rev/s | 43.982297 rad/s |
| 8 rev/s | 50.265482 rad/s |
| 9 rev/s | 56.548668 rad/s |
| 10 rev/s | 62.831853 rad/s |
| Revolutions per second (rev/s) | Radians per second (rad/s) |
|---|---|
| 12 rev/s | 75.398224 rad/s |
| 15 rev/s | 94.24778 rad/s |
| 20 rev/s | 125.66371 rad/s |
| 25 rev/s | 157.07963 rad/s |
| 30 rev/s | 188.49556 rad/s |
| 40 rev/s | 251.32741 rad/s |
| 50 rev/s | 314.15927 rad/s |
| 75 rev/s | 471.2389 rad/s |
| 100 rev/s | 628.31853 rad/s |
| 250 rev/s | 1,570.7963 rad/s |
| 500 rev/s | 3,141.5927 rad/s |
| 1,000 rev/s | 6,283.1853 rad/s |
About the units
Revolution per second (rev/s)
The revolution per second (rev/s) is a unit of angular velocity. One revolution per second equals 6.283185307 radians per second (rad/s).
Radian per second (rad/s)
The SI unit of angular velocity.
Frequently asked questions
How many radians per second are in one revolution per second?
There are 6.283185307 radians per second in one revolution per second, and this value is exact by definition.
How do I convert revolutions per second to radians per second?
Multiply the number of revolutions per second by 6.283185307. For example, 10 rev/s × 6.283185307 = 62.83185307 rad/s.
How many revolutions per second are in one radian per second?
One radian per second equals 0.1591549431 revolutions per second. That is the reverse factor, 1 ÷ 6.283185307.
What is 10 revolutions per second in radians per second?
10 rev/s = 62.83185307 rad/s.
Is this rev/s to rad/s converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.