Revolutions per minute to radians per second
Type a value in rpm to get it in rad/s instantly.
104.7rad/s
That's 30× as fast as a vinyl record, while a washing machine spin is 1.39× faster. On a 30 cm wheel the rim moves at about 56.55 km/h.
Convert the other way: rad/s to rpm
What it means
How fast does that spin?
Rim speed assumes a wheel 30 cm across. A bigger wheel at the same rpm moves faster at the edge.
The math
How to convert rpm to rad/s
To convert revolutions per minute to radians per second, multiply by 0.10472.
Example: 1,000 rpm × 0.10472 = 104.72 rad/s.
In the other direction, 1 rad/s = 9.5493 rpm.
Every unit
Your rotation speed in every unit
Tables
rpm to rad/s conversion table
| rpm | rad/s |
|---|---|
| 10 rpm | 1.0472 rad/s |
| 50 rpm | 5.23599 rad/s |
| 100 rpm | 10.472 rad/s |
| 300 rpm | 31.4159 rad/s |
| 500 rpm | 52.3599 rad/s |
| 750 rpm | 78.5398 rad/s |
| 1,000 rpm | 104.72 rad/s |
| 1,500 rpm | 157.08 rad/s |
| 2,000 rpm | 209.44 rad/s |
| 3,000 rpm | 314.159 rad/s |
| 5,000 rpm | 523.599 rad/s |
| 10,000 rpm | 1,047.2 rad/s |
rad/s to rpm conversion table
| rad/s | rpm |
|---|---|
| 10 rad/s | 95.493 rpm |
| 50 rad/s | 477.465 rpm |
| 100 rad/s | 954.93 rpm |
| 300 rad/s | 2,864.79 rpm |
| 500 rad/s | 4,774.65 rpm |
| 750 rad/s | 7,161.97 rpm |
| 1,000 rad/s | 9,549.3 rpm |
| 1,500 rad/s | 14,323.9 rpm |
| 2,000 rad/s | 19,098.6 rpm |
| 3,000 rad/s | 28,647.9 rpm |
| 5,000 rad/s | 47,746.5 rpm |
| 10,000 rad/s | 95,493 rpm |
Quick answers
Quick answers
- How many rad/s is 1 rpm?
- 1 rpm is 0.10472 rad/s.
- How many rad/s is 10 rpm?
- 10 rpm is 1.0472 rad/s.
- How many rad/s is 1,000 rpm?
- 1,000 rpm is 104.72 rad/s.
The units
About these units
Revolutions per minute (rpm)
The everyday engineering unit: full turns each minute.
Radians per second (rad/s)
The SI unit of angular velocity, and the one every rotation formula expects.
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