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
What is a quick way to estimate rpm to rad/s?
Round 0.10472 to one or two significant digits and multiply mentally. Use the exact factor when accuracy matters.
Why is the conversion factor between rpm and rad/s 0.10472?
It comes from the official definitions of both Frequency units, which are anchored to internationally agreed reference standards.
Can I do rpm to rad/s conversions mentally?
For rough estimates, round 0.10472 to a simpler number. For precise results, use the full ratio with a calculator.
Is 100 rpm more than 50 rad/s?
Multiply 100 by 0.10472 to get the equivalent in rad/s, then compare with 50. The ratio determines which value is larger.
How accurate is the rpm to rad/s calculator?
The calculator uses the standard ratio 0.10472 and returns results to several decimal places, suitable for both casual and technical use.
Does temperature, humidity, or pressure affect rpm to rad/s results?
No. The conversion factor between rpm and rad/s is a fixed mathematical ratio and does not depend on environmental conditions.