Velocity Angular / rad/s → rpm
Convert Radians per second to Revolutions per minute
Convert angular speeds between radians, degrees, and revolutions per unit time. Convert Radians per second (rad/s) to Revolutions per minute (rpm). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Revolutions per minute to Radians per second →
How to convert radians per second to revolutions per minute
Angular speed measures rotation, not linear speed. To find tangential speed you also need the radius. Revolutions per minute are divided by 60 when converted to revolutions per second.
Use x for the value in rad/s, b for the intermediate value in rad/s, and y for the result in rpm.
rpm = rad/s ÷ 0.10471975511965977
Worked examples
10 rad/s ≈ 95.4929658551 rpm
Step 1: (10 × 1) ≈ 10 rad/s.
Step 2: 10 ÷ 0.10471975512 ≈ 95.4929658551 rpm.20 rad/s ≈ 190.98593171 rpm
Step 1: (20 × 1) ≈ 20 rad/s.
Step 2: 20 ÷ 0.10471975512 ≈ 190.98593171 rpm.
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About Radians per second
Radians per second (rad/s) measures velocity angular under the conventions above. The base value in rad/s is (x × 1), where x is the numerical value in rad/s. Factors shown here are rounded for display; calculations use the stored factor.
About Revolutions per minute
Revolutions per minute (rpm) measures velocity angular under the conventions above. The base value in rad/s is (x × 0.10471975512), where x is the numerical value in rpm. Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Radians per second to revolutions per minute reference table
| Radians per second (rad/s) | Revolutions per minute (rpm) |
|---|---|
| 1 | 9.54929658551 |
| 5 | 47.7464829276 |
| 10 | 95.4929658551 |
| 25 | 238.732414638 |
| 50 | 477.464829276 |
| 100 | 954.929658551 |
| 1000 | 9549.29658551 |
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