1 RPM to rad/s
1 RPM ≈ 0.1047 rad/s
1 revolution per minute is approximately 0.1047 radians per second.
How to convert 1 RPM to rad/s
Use the formula rad/s = RPM × 0.10471975512:
rad/s = 1 × 0.10471975512rad/s = 0.10472
So 1 RPM = 0.10472 rad/s, or about 0.1047 rad/s rounded.
Rounded values and quick estimate
- Rounded to a whole number: 0 rad/s
- Rounded to one decimal place: 0.1 rad/s
- Conversion factor: 1 revolution per minute = 0.1047 radians per second
Quick mental estimate: divide by 10 (multiply by 0.105). For 1 RPM that gives about 0.1 rad/s — off by 0.00472 rad/s (4.5%). Use the exact formula when precision matters.
1 RPM in other units
- Radians per second
- 0.1047 rad/s
1 RPM and nearby values
| Revolutions per minute | Radians per second |
|---|---|
| 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 |
About revolutions per minute and radians per second
Revolutions per minute measure rotational speed for engines, motors and record players.
Radians per second is the SI unit of angular velocity. One revolution is 2π radians.
Related conversions
Frequently asked questions
What is 1 RPM in rad/s?
1 revolution per minute is about 0.1047 radians per second (1 RPM ≈ 0.1047 rad/s).
How do you convert 1 RPM to rad/s?
Apply rad/s = RPM × 0.10471975512: rad/s = 1 × 0.10471975512, rad/s = 0.10472.
How many revolutions per minute is 0.1047 rad/s?
0.1047 rad/s is about 0.9998 revolutions per minute.