Per Second to Radians per Second Converter
Convert degrees per second (°/s) to radians per second (rad/s), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter a frequency, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 °/s = 0.0174532925199 rad/s
- 1 × 0.0174532925199 = 0.0174532925199 rad/s
How to convert per second to radians per second
1 °/s = 0.0174532925199 rad/s, so multiply by 0.0174532925199 to go from degrees per second to radians per second. Going the other way, 1 rad/s = 57.2957795131 °/s.
rad/s = °/s × 0.0174532925199 °/s = rad/s × 57.2957795131
Worked example:
1 °/s = 0.0174532925199 rad/s 5 × 0.0174532925199 = 0.0872664625997 rad/s
Per Second to radians per second table
| Per Second | Radians per Second |
|---|---|
| 1 °/s | 0.0174532925199 rad/s |
| 2 °/s | 0.0349065850399 rad/s |
| 3 °/s | 0.0523598775598 rad/s |
| 4 °/s | 0.0698131700798 rad/s |
| 5 °/s | 0.0872664625997 rad/s |
| 6 °/s | 0.10471975512 rad/s |
| 7 °/s | 0.12217304764 rad/s |
| 8 °/s | 0.13962634016 rad/s |
| 9 °/s | 0.157079632679 rad/s |
| 10 °/s | 0.174532925199 rad/s |
| 15 °/s | 0.261799387799 rad/s |
| 20 °/s | 0.349065850399 rad/s |
| 25 °/s | 0.436332312999 rad/s |
| 30 °/s | 0.523598775598 rad/s |
| 40 °/s | 0.698131700798 rad/s |
| 50 °/s | 0.872664625997 rad/s |
| 75 °/s | 1.308996939 rad/s |
| 100 °/s | 1.74532925199 rad/s |
| 250 °/s | 4.36332312999 rad/s |
| 500 °/s | 8.72664625997 rad/s |
| 1000 °/s | 17.4532925199 rad/s |
About the units
- Per Second (°/s)
- Degrees per second, a specialised unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Radians per Second (rad/s)
- Radians per second, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).