Acceleration Angular / °/s² → rad/s²
Convert Degrees per second squared to Radians per second squared
Convert the rate of change of angular velocity. Convert Degrees per second squared (°/s²) to Radians per second squared (rad/s²). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Radians per second squared to Degrees per second squared →
How to convert degrees per second squared to radians per second squared
Revolutions per minute per second means a change in rpm each second. It differs from revolutions per minute squared by a factor of 60.
Use x for the value in °/s², b for the intermediate value in rad/s², and y for the result in rad/s².
rad/s² = °/s² × 0.017453292519943295
Worked examples
10 °/s² ≈ 0.174532925199 rad/s²
Step 1: (10 × 0.0174532925199) ≈ 0.174532925199 rad/s².
Step 2: 0.174532925199 ÷ 1 ≈ 0.174532925199 rad/s².20 °/s² ≈ 0.349065850399 rad/s²
Step 1: (20 × 0.0174532925199) ≈ 0.349065850399 rad/s².
Step 2: 0.349065850399 ÷ 1 ≈ 0.349065850399 rad/s².
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 squared
Degrees per second squared (°/s²) measures acceleration angular under the conventions above. The base value in rad/s² is (x × 0.0174532925199), where x is the numerical value in °/s². Factors shown here are rounded for display; calculations use the stored factor.
About Radians per second squared
Radians per second squared (rad/s²) measures acceleration angular under the conventions above. The base value in rad/s² is (x × 1), where x is the numerical value in rad/s². 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 squared to radians per second squared reference table
| Degrees per second squared (°/s²) | Radians per second squared (rad/s²) |
|---|---|
| 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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