Degrees per Second to Radians per Second Converter
Enter the frequency in degrees per second below to convert it to radians per second.
Result in Radians per Second:
Do you want to convert radians per second to degrees per second?
On this page:
- Degrees per Second to Radians per Second Converter
- How to Convert Degrees per Second to Radians per Second
- What Are Degrees per Second?
- What Are Radians per Second?
- Degree per Second to Radian per Second Conversion Table
- References
- More Degree per Second & Radian per Second Conversions
- Convert from Degrees per Second
- Convert to Radians per Second
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How to Convert Degrees per Second to Radians per Second
To convert a measurement in degrees per second to a measurement in radians per second, multiply the frequency by the following conversion ratio: 0.017453 radians per second/degree per second.
Since one degree per second is equal to 0.017453 radians per second, you can use this simple formula to convert:
radians per second = degrees per second × 0.017453
The frequency in radians per second is equal to the frequency in degrees per second multiplied by 0.017453.
For example, here's how to convert 5 degrees per second to radians per second using the formula above.
radians per second = (5 °/s × 0.017453) = 0.087266 rad/s
Degrees per second and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.
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.
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, °/s is expressing a change in angle relative to a change in time.
Learn more about degrees per second.
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.
Learn more about radians per second.
Degree per Second to Radian per Second Conversion Table
| Degrees Per Second | Radians Per Second |
|---|---|
| 1 °/s | 0.017453 rad/s |
| 2 °/s | 0.034907 rad/s |
| 3 °/s | 0.05236 rad/s |
| 4 °/s | 0.069813 rad/s |
| 5 °/s | 0.087266 rad/s |
| 6 °/s | 0.10472 rad/s |
| 7 °/s | 0.122173 rad/s |
| 8 °/s | 0.139626 rad/s |
| 9 °/s | 0.15708 rad/s |
| 10 °/s | 0.174533 rad/s |
| 11 °/s | 0.191986 rad/s |
| 12 °/s | 0.20944 rad/s |
| 13 °/s | 0.226893 rad/s |
| 14 °/s | 0.244346 rad/s |
| 15 °/s | 0.261799 rad/s |
| 16 °/s | 0.279253 rad/s |
| 17 °/s | 0.296706 rad/s |
| 18 °/s | 0.314159 rad/s |
| 19 °/s | 0.331613 rad/s |
| 20 °/s | 0.349066 rad/s |
| 21 °/s | 0.366519 rad/s |
| 22 °/s | 0.383972 rad/s |
| 23 °/s | 0.401426 rad/s |
| 24 °/s | 0.418879 rad/s |
| 25 °/s | 0.436332 rad/s |
| 26 °/s | 0.453786 rad/s |
| 27 °/s | 0.471239 rad/s |
| 28 °/s | 0.488692 rad/s |
| 29 °/s | 0.506145 rad/s |
| 30 °/s | 0.523599 rad/s |
| 31 °/s | 0.541052 rad/s |
| 32 °/s | 0.558505 rad/s |
| 33 °/s | 0.575959 rad/s |
| 34 °/s | 0.593412 rad/s |
| 35 °/s | 0.610865 rad/s |
| 36 °/s | 0.628319 rad/s |
| 37 °/s | 0.645772 rad/s |
| 38 °/s | 0.663225 rad/s |
| 39 °/s | 0.680678 rad/s |
| 40 °/s | 0.698132 rad/s |
References
- 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