Velocity Angular / °/s → rad/s
Convert Degrees per second to Radians per second
Convert angular speeds between radians, degrees, and revolutions per unit time. Convert Degrees per second (°/s) to Radians per second (rad/s). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Radians per second to Degrees per second →
How to convert degrees per second to radians 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 °/s, b for the intermediate value in rad/s, and y for the result in rad/s.
rad/s = °/s × 0.017453292519943295
Worked examples
10 °/s ≈ 0.174532925199 rad/s
Step 1: (10 × 0.0174532925199) ≈ 0.174532925199 rad/s.
Step 2: 0.174532925199 ÷ 1 ≈ 0.174532925199 rad/s.20 °/s ≈ 0.349065850399 rad/s
Step 1: (20 × 0.0174532925199) ≈ 0.349065850399 rad/s.
Step 2: 0.349065850399 ÷ 1 ≈ 0.349065850399 rad/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 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.
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.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Degrees per second to radians per second reference table
| Degrees per second (°/s) | Radians per second (rad/s) |
|---|---|
| 1 | 0.0174532925199 |
| 5 | 0.0872664625997 |
| 10 | 0.174532925199 |
| 25 | 0.436332312999 |
| 50 | 0.872664625997 |
| 100 | 1.74532925199 |
| 1000 | 17.4532925199 |
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