Revolution per minute to Radian per second Converter
1 revolution per minute is about 0.1047197551 radians per second. Convert revolutions per minute (rpm) to radians per second (rad/s) below: type a value and the result updates as you type.
rpm to rad/s calculator
Result
Revolution per minute to Radian per second conversion
1 rpm ≈ 0.1047197551 rad/sone revolution per minute in radians per second
1 rad/s ≈ 9.549296586 rpmone radian per second in revolutions per minute
Revolution per minute (rpm): One full turn every minute: 2π/60 rad/s. Used for engines, motors and drives.
Radian per second (rad/s): SI unit of angular velocity: a rotation of one radian every second.
Source:SI Brochure, 9th edition (BIPM, 2019)
How to convert revolutions per minute to radians per second
To convert revolutions per minute to radians per second, multiply the number of revolutions per minute by about 0.1047197551.
Formula
rad/s = rpm × 0.1047197551
The factor is rounded here. The calculator uses the exact value.
Examples
- 5 rpm = 5 × 0.1047197551 ≈ 0.5235987756 rad/s
- 25 rpm = 25 × 0.1047197551 ≈ 2.617993878 rad/s
- 100 rpm = 100 × 0.1047197551 ≈ 10.47197551 rad/s
Revolution per minute to Radian per second conversion table
| Revolution per minute (rpm) | Radian per second (rad/s) |
|---|---|
| 0.1 rpm | 0.01047197551 rad/s |
| 0.5 rpm | 0.05235987756 rad/s |
| 1 rpm | 0.1047197551 rad/s |
| 2 rpm | 0.2094395102 rad/s |
| 3 rpm | 0.3141592654 rad/s |
| 5 rpm | 0.5235987756 rad/s |
| 10 rpm | 1.047197551 rad/s |
| 20 rpm | 2.094395102 rad/s |
| 25 rpm | 2.617993878 rad/s |
| 50 rpm | 5.235987756 rad/s |
| 100 rpm | 10.47197551 rad/s |
| 250 rpm | 26.17993878 rad/s |
| 500 rpm | 52.35987756 rad/s |
| 1000 rpm | 104.7197551 rad/s |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many radians per second are in one revolution per minute?
- One revolution per minute is about 0.1047197551 radians per second.
- How do I convert radians per second to revolutions per minute?
- To convert radians per second to revolutions per minute, multiply the number of radians per second by about 9.549296586. The formula is rpm = rad/s × 9.549296586.
- Is this conversion exact?
- Yes. Both units have exact definitions, but the factor has more decimal places than can be shown, so displayed results are rounded. The calculator works with 50 significant digits before rounding.
- Which is larger, a revolution per minute or a radian per second?
- A radian per second is about 9.549296586 times larger than a revolution per minute. In other words, a revolution per minute is about 0.1047197551 of a radian per second.