Angular Acceleration

Degrees per Second Squared to Radians per Second Squared Converter

Convert degrees per second squared (°/s²) to radians per second squared (rad/s²). 1 degree per second squared = 0.01745329252 radians per second squared (exact)

1 degree per second squared = 0.0174532925199 radians per second squared

How to convert degrees per second squared to radians per second squared

Formularad/s² = °/s² × 0.01745329252

Multiply the value in degrees per second squared by 0.01745329252. To go the other way, multiply by 57.29577951 (or divide by 0.01745329252).

A degree per second squared is smaller than a radian per second squared: it takes 57.29577951 degrees per second squared to make one radian per second squared.

Worked examples

  • 1 degree per second squared1 °/s² × 0.01745329252 = 0.01745329252 rad/s²
  • 5 degrees per second squared5 °/s² × 0.01745329252 = 0.0872664626 rad/s²
  • 10 degrees per second squared10 °/s² × 0.01745329252 = 0.1745329252 rad/s²
  • 20 degrees per second squared20 °/s² × 0.01745329252 = 0.3490658504 rad/s²
  • 100 degrees per second squared100 °/s² × 0.01745329252 = 1.745329252 rad/s²

Degrees per second squared to radians per second squared conversion table

Values are calculated by the conversion engine and rounded to 8 significant figures.

Degrees per second squared to radians per second squared: 0.1–10 °/s²
Degrees per second squared (°/s²)Radians per second squared (rad/s²)
0.1 °/s²0.0017453293 rad/s²
0.25 °/s²0.0043633231 rad/s²
0.5 °/s²0.0087266463 rad/s²
1 °/s²0.017453293 rad/s²
2 °/s²0.034906585 rad/s²
3 °/s²0.052359878 rad/s²
4 °/s²0.06981317 rad/s²
5 °/s²0.087266463 rad/s²
6 °/s²0.10471976 rad/s²
7 °/s²0.12217305 rad/s²
8 °/s²0.13962634 rad/s²
9 °/s²0.15707963 rad/s²
10 °/s²0.17453293 rad/s²
Degrees per second squared to radians per second squared: 12–1,000 °/s²
Degrees per second squared (°/s²)Radians per second squared (rad/s²)
12 °/s²0.20943951 rad/s²
15 °/s²0.26179939 rad/s²
20 °/s²0.34906585 rad/s²
25 °/s²0.43633231 rad/s²
30 °/s²0.52359878 rad/s²
40 °/s²0.6981317 rad/s²
50 °/s²0.87266463 rad/s²
75 °/s²1.3089969 rad/s²
100 °/s²1.7453293 rad/s²
250 °/s²4.3633231 rad/s²
500 °/s²8.7266463 rad/s²
1,000 °/s²17.453293 rad/s²

About the units

Degree per second squared (°/s²)

The degree per second squared (°/s²) is a unit of angular acceleration. One degree per second squared equals 0.01745329252 radians per second squared (rad/s²).

Radian per second squared (rad/s²)

The radian per second squared (rad/s²) is a unit of angular acceleration in the International System of Units (SI).

Frequently asked questions

How many radians per second squared are in one degree per second squared?

There are 0.01745329252 radians per second squared in one degree per second squared, and this value is exact by definition.

How do I convert degrees per second squared to radians per second squared?

Multiply the number of degrees per second squared by 0.01745329252. For example, 10 °/s² × 0.01745329252 = 0.1745329252 rad/s².

How many degrees per second squared are in one radian per second squared?

One radian per second squared equals 57.29577951 degrees per second squared. That is the reverse factor, 1 ÷ 0.01745329252.

What is 10 degrees per second squared in radians per second squared?

10 °/s² = 0.1745329252 rad/s².

Is this °/s² to rad/s² converter accurate?

Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.

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