Table Of Contents
Degree per second to radian per second Conversion
1 degree per second (deg/s) is equal to 0.01745329252 radian per second (rad/s).
1 deg/s = 0.01745329252 rad/s
or
1 rad/s = 57.29577951 deg/s
Formula
To convert a angular velocity from degree per second (deg/s) to radian per second (rad/s), divide the angular velocity in degree per second by 57.29577951
a(rad/s) = a(deg/s) / 57.29577951
Examples:
Convert 1000 degree per second to radian per second:
a(rad/s) = 1000deg/s / 57.29577951 = 17.45329252 rad/s
Conversion table
| Degree per second (deg/s) | Radian per second (rad/s) |
|---|---|
| 1 deg/s | 0.017453293 rad/s |
| 2 deg/s | 0.034906585 rad/s |
| 3 deg/s | 0.052359878 rad/s |
| 5 deg/s | 0.087266463 rad/s |
| 10 deg/s | 0.174532925 rad/s |
| 20 deg/s | 0.34906585 rad/s |
| 25 deg/s | 0.436332313 rad/s |
| 50 deg/s | 0.872664626 rad/s |
| 60 deg/s | 1.047197551 rad/s |
| 100 deg/s | 1.745329252 rad/s |
| 500 deg/s | 8.72664626 rad/s |
| 1000 deg/s | 17.45329252 rad/s |
| 1500 deg/s | 26.17993878 rad/s |
| 3000 deg/s | 52.35987756 rad/s |
| 6000 deg/s | 104.71975512 rad/s |
| Radian per second (rad/s) | Degree per second (deg/s) |
|---|---|
| 1 rad/s | 57.295779513 deg/s |
| 2 rad/s | 114.591559026 deg/s |
| 3 rad/s | 171.887338539 deg/s |
| 5 rad/s | 286.478897565 deg/s |
| 10 rad/s | 572.957795131 deg/s |
| 20 rad/s | 1145.915590262 deg/s |
| 25 rad/s | 1432.394487827 deg/s |
| 50 rad/s | 2864.788975654 deg/s |
| 60 rad/s | 3437.746770785 deg/s |
| 100 rad/s | 5729.577951308 deg/s |
| 500 rad/s | 28647.889756541 deg/s |
| 1000 rad/s | 57295.779513082 deg/s |
| 1500 rad/s | 85943.669269623 deg/s |
| 3000 rad/s | 171887.338539247 deg/s |
| 6000 rad/s | 343774.677078494 deg/s |
Frequently asked questions
How do I convert degree per second to radian per second?
Divide the value in degree per second by 57.29577951 to get the result in radian per second. For example, 5 deg/s ÷ 57.29577951 = 0.087266463 rad/s.
How many radian per second are in 1 degree per second?
1 degree per second (deg/s) is equal to 0.017453293 radian per second (rad/s).
How do I convert radian per second back to degree per second?
Use the inverse operation: multiply the value in radian per second by 57.29577951 to get the result in degree per second.
How accurate is the degree per second to radian per second conversion?
The converter multiplies by the conversion factor 57.29577951 and rounds the result to 9 decimal places by default. You can increase or reduce the precision with the digits option on this page.
Sources
Conversion factors are based on internationally recognised standards:
