Radians per Second to Degrees per Second Converter

Enter the frequency in radians per second below to convert it to degrees per second.

rad/s
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Result in Degrees per Second:

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1 rad/s = 57.29578 °/s
Learn how we calculate this below

Do you want to convert degrees per second to radians per second?

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How to Convert Radians per Second to Degrees per Second

To convert a measurement in radians per second to a measurement in degrees per second, multiply the frequency by the following conversion ratio: 57.29578 degrees per second/radian per second.

Since one radian per second is equal to 57.29578 degrees per second, you can use this simple formula to convert:

degrees per second = radians per second × 57.29578

The frequency in degrees per second is equal to the frequency in radians per second multiplied by 57.29578.

For example, here's how to convert 5 radians per second to degrees per second using the formula above.

degrees per second = (5 rad/s × 57.29578) = 286.478898 °/s

How Many Degrees per Second Are in One Radian per Second?

There are 57.29578 degrees per second in one radian per second, which is why we use this value in the formula above.

1 rad/s = 57.29578 °/s

Radians per second and degrees per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

What Are Radians per Second?

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in the angular orientation of an object over one second.

Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.[1] For example, rad/s is expressing a change in angle relative to a change in time.

Learn more about radians per second.

What Are Degrees per Second?

Degrees per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in degrees per second.

Degrees per second can be abbreviated as °/s; for example, 1 degree per second can be written as 1 °/s.

Learn more about degrees per second.

Radian per Second to Degree per Second Conversion Table

Table showing various radian per second measurements converted to degrees per second.
Radians Per Second Degrees Per Second
1 rad/s 57.3 °/s
2 rad/s 114.59 °/s
3 rad/s 171.89 °/s
4 rad/s 229.18 °/s
5 rad/s 286.48 °/s
6 rad/s 343.77 °/s
7 rad/s 401.07 °/s
8 rad/s 458.37 °/s
9 rad/s 515.66 °/s
10 rad/s 572.96 °/s
11 rad/s 630.25 °/s
12 rad/s 687.55 °/s
13 rad/s 744.85 °/s
14 rad/s 802.14 °/s
15 rad/s 859.44 °/s
16 rad/s 916.73 °/s
17 rad/s 974.03 °/s
18 rad/s 1,031 °/s
19 rad/s 1,089 °/s
20 rad/s 1,146 °/s
21 rad/s 1,203 °/s
22 rad/s 1,261 °/s
23 rad/s 1,318 °/s
24 rad/s 1,375 °/s
25 rad/s 1,432 °/s
26 rad/s 1,490 °/s
27 rad/s 1,547 °/s
28 rad/s 1,604 °/s
29 rad/s 1,662 °/s
30 rad/s 1,719 °/s
31 rad/s 1,776 °/s
32 rad/s 1,833 °/s
33 rad/s 1,891 °/s
34 rad/s 1,948 °/s
35 rad/s 2,005 °/s
36 rad/s 2,063 °/s
37 rad/s 2,120 °/s
38 rad/s 2,177 °/s
39 rad/s 2,235 °/s
40 rad/s 2,292 °/s

References

  1. National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using

More Radian per Second & Degree per Second Conversions

Convert from Radians per Second

Convert to Degrees per Second