Velocity Angular / rev/s → °/s
Convert Revolutions per second to Degrees per second
Convert angular speeds between radians, degrees, and revolutions per unit time. Convert Revolutions per second (rev/s) to Degrees per second (°/s). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Degrees per second to Revolutions per second →
How to convert revolutions per second to degrees per second
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 rev/s, b for the intermediate value in rad/s, and y for the result in °/s.
°/s = rev/s × 6.283185307179586 ÷ 0.017453292519943295
Worked examples
10 rev/s ≈ 3600 °/s
Step 1: (10 × 6.28318530718) ≈ 62.8318530718 rad/s.
Step 2: 62.8318530718 ÷ 0.0174532925199 ≈ 3600 °/s.20 rev/s ≈ 7200 °/s
Step 1: (20 × 6.28318530718) ≈ 125.663706144 rad/s.
Step 2: 125.663706144 ÷ 0.0174532925199 ≈ 7200 °/s.
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 Revolutions per second
Revolutions per second (rev/s) measures velocity angular under the conventions above. The base value in rad/s is (x × 6.28318530718), where x is the numerical value in rev/s. Factors shown here are rounded for display; calculations use the stored factor.
About Degrees per second
Degrees per second (°/s) measures velocity angular under the conventions above. The base value in rad/s is (x × 0.0174532925199), where x is the numerical value in °/s. Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Revolutions per second to degrees per second reference table
| Revolutions per second (rev/s) | Degrees per second (°/s) |
|---|---|
| 1 | 360 |
| 5 | 1800 |
| 10 | 3600 |
| 25 | 9000 |
| 50 | 18000 |
| 100 | 36000 |
| 1000 | 360000 |
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