rad/s to rpm Converter
Convert rad/s to rpm: 1 rad/s = 9.549296586 rpm. Formula, worked example, table of common values and unit definitions.
Result1,500.003508 rpm
1 rad/s = 9.549296586 rpm
157.08 rad/s =
1,500.003508 rpm
Formula
rpm = rad/s × 9.549296586 rad/s = rpm × 0.1047197551
Worked example
- 157.08 rad/s × 9.549296586 = 1,500.003508 rpm
Common values
| rad/s | rpm |
|---|---|
| 1 | 9.549296586 |
| 10 | 95.49296586 |
| 50 | 477.4648293 |
| 100 | 954.9296586 |
| 157.08 | 1,500.003508 |
| 314.16 | 3,000.007015 |
| 377 | 3,600.084813 |
Unit definitions
| Unit | Equals | What it is |
|---|---|---|
| rad/s | 9.549296586 rpm | Radians per second, the SI unit of angular velocity. |
| rpm | 1 rpm | Revolutions per minute. Motor nameplate speed. |
Frequently asked questions
How many rpm are in one rad/s?
1 rad/s = 9.549296586 rpm.
What is the formula to convert rad/s to rpm?
rpm = rad/s × 9.549296586. To go back, rad/s = rpm × 0.1047197551.
What is the formula to convert rad/s to rpm?
rpm = rad/s × 60 ÷ (2π), which is about 9.5493 rpm per rad/s. One revolution is 2π radians and a minute is 60 seconds.
What rad/s value matches a 50 Hz motor at synchronous speed?
A 2-pole 50 Hz motor turns at 3000 rpm, which is 314.16 rad/s. A 4-pole motor turns at 1500 rpm, or 157.08 rad/s. Real motors run slightly below this by the slip.
Related
Opposite direction: rpm to rad/s
Rotational Speed ConverterConversion Centre