Convert rad/s to °/s
Enter the number of radians per second that you want to convert to degrees per second.
How to Convert Radians per Second to Degrees per Second
The radians per second and degrees per second are both units of frequency. 1 radians per second equals 57.295779509 degrees per second. This means to convert radians per second to degrees per second, you multiply by 57.295779509.
Formula
Step-by-Step Example
Convert 5 rad/s to degrees per second:
We need to convert radians per second to degrees per second
Since 1 rad/s = 57.295779509 °/s, multiply by 57.295779509
5 × 57.295779509 = 286.47889754
5 rad/s = 286.47889754 °/s
Radians per Second to Degrees per Second Conversion Table
Quick reference table for common radians per second to degrees per second conversions. Click any value for detailed calculation.
| Radians per Second (rad/s) | Degrees per Second (°/s) |
|---|---|
| 1 rad/s | 57.295779509 °/s |
| 2 rad/s | 114.59155902 °/s |
| 5 rad/s | 286.47889754 °/s |
| 10 rad/s | 572.95779509 °/s |
| 15 rad/s | 859.43669263 °/s |
| 20 rad/s | 1145.9155902 °/s |
| 25 rad/s | 1432.3944877 °/s |
| 50 rad/s | 2864.7889754 °/s |
| 100 rad/s | 5729.5779509 °/s |
About These Units
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.
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.
Frequently Asked Questions
How do I convert radians per second to degrees per second?
To convert radians per second to degrees per second, multiply the value by 57.295779509. For example, 10 rad/s = 572.95779509 °/s.
How many degrees per second are in 1 radians per second?
1 radians per second equals 57.295779509 degrees per second.
What is the formula for radians per second to degrees per second?
The formula is: °/s = rad/s × 57.295779509.