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Acceleration Angular / rad/s² → °/s²

Convert Radians per second squared to Degrees per second squared

Convert the rate of change of angular velocity. Convert Radians per second squared (rad/s²) to Degrees per second squared (°/s²). Find the formula, worked examples, unit definitions, and practical guidance below.

Reverse: Degrees per second squared to Radians per second squared →

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1 rad/s² = 57.2957795131 °/s²

Results rounded to 12 significant digits.

How to convert radians per second squared to degrees 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 rad/s², b for the intermediate value in rad/s², and y for the result in °/s².

°/s² = rad/s² ÷ 0.017453292519943295

Worked examples

  • 10 rad/s² ≈ 572.957795131 °/s²

    Step 1: (10 × 1) ≈ 10 rad/s².
    Step 2: 10 ÷ 0.0174532925199 ≈ 572.957795131 °/s².

  • 20 rad/s² ≈ 1145.91559026 °/s²

    Step 1: (20 × 1) ≈ 20 rad/s².
    Step 2: 20 ÷ 0.0174532925199 ≈ 1145.91559026 °/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 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.

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.

Definitions and sources

Carry the same physical assumptions into subsequent physics calculations.

Radians per second squared to degrees per second squared reference table

Common radians per second squared values converted to degrees per second squared
Radians per second squared (rad/s²)Degrees per second squared (°/s²)
157.2957795131
5286.478897565
10572.957795131
251432.39448783
502864.78897565
1005729.57795131
100057295.7795131

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