Rev/min to Rad/s Converter
Rev/min to Rad/s Conversion Table
| Rev/min (RPM) | Rad/s |
|---|---|
| 1 | 0.1047 |
| 5 | 0.5236 |
| 10 | 1.0472 |
| 50 | 5.2360 |
| 100 | 10.4720 |
| 500 | 52.3599 |
| 1000 | 104.7198 |
| 5000 | 523.5988 |
| 10000 | 1047.1976 |
Conversion Method and Formula
To convert from revolutions per minute (RPM) to radians per second (rad/s), we use the following formula:
rad/s = RPM × (2π / 60)
This formula is derived from the following relationships:
- 1 revolution = 2π radians
- 1 minute = 60 seconds
The conversion process involves the following steps:
- Multiply the RPM value by 2π to convert revolutions to radians.
- Divide the result by 60 to convert from per minute to per second.
For example, to convert 100 RPM to rad/s:
100 RPM = 100 × (2π / 60) ≈ 10.4720 rad/s
This conversion is useful in various fields, including physics, engineering, and mechanics, where angular velocity needs to be expressed in standard SI units.