Convert °/s to rad/s
Enter the number of degrees per second that you want to convert to radians per second.
How to Convert Degrees per Second to Radians per Second
The degrees per second and radians per second are both units of frequency. 1 radians per second equals 57.295779509 degrees per second. This means to convert degrees per second to radians per second, you divide by 57.295779509.
Formula
Step-by-Step Example
Convert 5 °/s to radians per second:
We need to convert degrees per second to radians per second
Since 1 rad/s = 57.295779509 °/s, divide by 57.295779509
5 ÷ 57.295779509 = 0.0872664626
5 °/s = 0.0872664626 rad/s
Degrees per Second to Radians per Second Conversion Table
Quick reference table for common degrees per second to radians per second conversions. Click any value for detailed calculation.
| Degrees per Second (°/s) | Radians per Second (rad/s) |
|---|---|
| 1 °/s | 0.0174532925 rad/s |
| 2 °/s | 0.034906585 rad/s |
| 5 °/s | 0.0872664626 rad/s |
| 10 °/s | 0.1745329252 rad/s |
| 15 °/s | 0.2617993878 rad/s |
| 20 °/s | 0.3490658504 rad/s |
| 25 °/s | 0.436332313 rad/s |
| 50 °/s | 0.8726646261 rad/s |
| 100 °/s | 1.7453292521 rad/s |
About These Units
Degrees per Second (°/s)
Degrees per second (°/s) measures angular velocity in degrees. One full rotation equals 360°/s. Gyroscopes and motion sensors report in °/s. Smartphone rotation sensors typically measure ±2000°/s. Used in navigation and gaming applications.
Radians per Second (rad/s)
Radians per second (rad/s) is the SI unit of angular velocity. One complete rotation equals 2π radians per second (6.28 rad/s). Used in physics, robotics, and engineering calculations. Angular velocity ω relates to frequency f by ω = 2πf.
Frequently Asked Questions
How do I convert degrees per second to radians per second?
To convert degrees per second to radians per second, divide the value by 57.295779509. For example, 10 °/s = 0.1745329252 rad/s.
How many radians per second are in 1 degrees per second?
1 degrees per second equals 0.0174532925 radians per second.
What is the formula for degrees per second to radians per second?
The formula is: rad/s = °/s ÷ 57.295779509.