radian per second to revolution per minute
Convert radian per second (rad/s) to revolution per minute (rpm). Use an editable angular velocity converter, conversion formula, and reference table.
1 rad/s = 9.549296586 rpm
Conversion formula
One radian per second equals 9.549296586 revolution per minute. Multiply your value in radian per second by this factor to get revolution per minute. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 radian per second:5 × 9.549296586 = 47.74648293 rpm
Conversion table
| radian per second (rad/s) | revolution per minute (rpm) |
|---|---|
| 0.01 | 0.09549296586 |
| 0.1 | 0.9549296586 |
| 1 | 9.549296586 |
| 2 | 19.09859317 |
| 5 | 47.74648293 |
| 10 | 95.49296586 |
| 25 | 238.7324146 |
| 50 | 477.4648293 |
| 100 | 954.9296586 |
| 1000 | 9,549.296586 |
About these measurements
Angular velocity describes rotation per unit time.
The base reference used here is the radian per second. One radian per second is 1 base units; one revolution per minute is 0.1047197551 base units.
Important distinctions
Compound units must match the quantity and dimension. Temperature intervals use size factors rather than temperature offsets. Calorie and BTU entries use the explicit definitions shown.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert rad/s to rpm?
Multiply the quantity in rad/s by 9.549296586. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the revolution per minute to radian per second converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
