Convert RPM (rpm) to Radians per Second (rad/s)
How many Radians per Second are in a single rpm? The answer is 0.10472 — and the calculator below handles any value you throw at it.
Formula
1 rpm = 0.10472 rad/s
To convert rpm to rad/s, divide the value by 9.549296.
Conversion Table
| RPM (rpm) | Radians per Second (rad/s) |
|---|---|
| 0.01 rpm | 0.001 rad/s |
| 0.1 rpm | 0.0105 rad/s |
| 0.5 rpm | 0.0524 rad/s |
| 1 rpm | 0.1047 rad/s |
| 2 rpm | 0.2094 rad/s |
| 3 rpm | 0.3142 rad/s |
| 5 rpm | 0.5236 rad/s |
| 10 rpm | 1.0472 rad/s |
| 15 rpm | 1.5708 rad/s |
| 20 rpm | 2.0944 rad/s |
| 25 rpm | 2.618 rad/s |
| 50 rpm | 5.236 rad/s |
| 100 rpm | 10.472 rad/s |
| 250 rpm | 26.1799 rad/s |
| 500 rpm | 52.3599 rad/s |
| 1000 rpm | 104.7198 rad/s |
| 2500 rpm | 261.7994 rad/s |
| 5000 rpm | 523.5988 rad/s |
| 10000 rpm | 1047.1976 rad/s |
| 50000 rpm | 5235.9879 rad/s |
Common rpm to rad/s Examples
- 1 rpm = 0.1047 rad/s
- 5 rpm = 0.5236 rad/s
- 10 rpm = 1.0472 rad/s
- 25 rpm = 2.618 rad/s
- 50 rpm = 5.236 rad/s
- 100 rpm = 10.472 rad/s
- 500 rpm = 52.3599 rad/s
- 1000 rpm = 104.7198 rad/s
Frequently Asked Questions
Round 0.10472 to one or two significant digits and multiply mentally. Use the exact factor when accuracy matters.
It comes from the official definitions of both Frequency units, which are anchored to internationally agreed reference standards.
For rough estimates, round 0.10472 to a simpler number. For precise results, use the full ratio with a calculator.
Multiply 100 by 0.10472 to get the equivalent in rad/s, then compare with 50. The ratio determines which value is larger.
The calculator uses the standard ratio 0.10472 and returns results to several decimal places, suitable for both casual and technical use.
No. The conversion factor between rpm and rad/s is a fixed mathematical ratio and does not depend on environmental conditions.