Radian/s to Degree/s Converter
Enter the value that you want to convert radian/s (rad/s) to degree/s (°/s) or degree/s to radian/s.Also written as RAD/S to °/S conversion.
1 radian/s = 57.2957550 degree/s
Formula: degree/s = radian/s value × 57.2957550
RAD/S to °/S — radian/s to degree/s
10 radian/s = 572.95755 degree/s
Popular Angular Velocity Converters:
Radian/s to Degree/s: The Essentials
What is Radian/s?
Radian/s (rad/s) is a unit of angular velocity measurement. 1 radian/s is equal to 57.2957550 degree/s.
About the Degree/s
Degree/s (°/s) is a unit of angular velocity measurement. 1 degree/s is equal to 0.0174533 radian/s.
radian/s to degree/s metric conversion table
| 0.01 rad/s | = | 0.57296 °/s |
| 0.1 rad/s | = | 5.72958 °/s |
| 1 rad/s | = | 57.29575 °/s |
| 2 rad/s | = | 114.59151 °/s |
| 3 rad/s | = | 171.88726 °/s |
| 4 rad/s | = | 229.18302 °/s |
| 5 rad/s | = | 286.47877 °/s |
| 6 rad/s | = | 343.77453 °/s |
| 7 rad/s | = | 401.07028 °/s |
| 8 rad/s | = | 458.36604 °/s |
| 9 rad/s | = | 515.66179 °/s |
| 10 rad/s | = | 572.95755 °/s |
| 11 rad/s | = | 630.25330 °/s |
| 12 rad/s | = | 687.54906 °/s |
| 13 rad/s | = | 744.84481 °/s |
| 14 rad/s | = | 802.14057 °/s |
| 15 rad/s | = | 859.43632 °/s |
| 16 rad/s | = | 916.73208 °/s |
| 17 rad/s | = | 974.02783 °/s |
| 18 rad/s | = | 1031.32359 °/s |
| 19 rad/s | = | 1088.61934 °/s |
| 20 rad/s | = | 1145.91510 °/s |
| 30 rad/s | = | 1718.87265 °/s |
| 40 rad/s | = | 2291.83020 °/s |
| 50 rad/s | = | 2864.78775 °/s |
| 60 rad/s | = | 3437.74530 °/s |
| 70 rad/s | = | 4010.70285 °/s |
| 80 rad/s | = | 4583.66040 °/s |
| 90 rad/s | = | 5156.61795 °/s |
| 100 rad/s | = | 5729.57550 °/s |
| 200 rad/s | = | 11459.15099 °/s |
| 300 rad/s | = | 17188.72649 °/s |
| 400 rad/s | = | 22918.30198 °/s |
| 500 rad/s | = | 28647.87748 °/s |
| 600 rad/s | = | 34377.45297 °/s |
| 700 rad/s | = | 40107.02847 °/s |
| 800 rad/s | = | 45836.60397 °/s |
| 900 rad/s | = | 51566.17946 °/s |
| 1000 rad/s | = | 57295.75496 °/s |
How to Convert RAD/S to °/S (Radian/s to Degree/s)?
We can convert radian/s to degree/s by using an example.
Example:
Convert 20 Radian/s to Degree/s?
We know 1 Radian/s = 57.2957550 degree/s; 1 Degree/s = 0.0174533 radian/s.
20 radian/s = ___°/s
20 × 57.2957550 = 1145.91510 °/s (we know 1 radian/s = 57.2957550 degree/s)
Answer:
20 radian/s = 1145.91510 degree/s
Radians per Second to Degrees per Second for Sensor Data
Gyroscope sensors in drones, smartphones, and IMUs (Inertial Measurement Units) often output angular velocity in radians per second, but pilots and operators think in degrees per second. A drone rotating at 1 rad/s is spinning at about 57.3°/s — fast enough to feel but not alarming. Converting correctly is critical for flight controller tuning.
- Take the angular velocity in radians per second.
- Multiply by 180/π ≈ 57.2958.
- The result is angular velocity in degrees per second.
- This works because 1 radian = 180/π degrees by definition.
rad/s to °/s Reference for Gyroscopes and Drones
Typical angular velocity values encountered in drone tuning and motion control:
| Radian/s | Degree/s |
|---|---|
| 0.01 rad/s | 0.57°/s |
| 0.1 rad/s | 5.73°/s |
| 0.5 rad/s | 28.65°/s |
| 1 rad/s | 57.30°/s |
| 2 rad/s | 114.59°/s |
| 5 rad/s | 286.48°/s |
| 10 rad/s | 572.96°/s |
| 20 rad/s | 1,145.92°/s |
Examples: rad/s to Degrees per Second
Question 1: A drone gyro reads 2.5 rad/s on the yaw axis. What is that in °/s?
Solution:
°/s = rad/s × 57.2958
= 2.5 × 57.2958
= 143.24°/s
Answer: 2.5 rad/s = 143.24°/s — a fast yaw rate that may need rate limiting.
Question 2: A robotic wrist joint has a max speed of 6.28 rad/s. Express in °/s.
Solution:
°/s = rad/s × 57.2958
= 6.28 × 57.2958
= 359.82°/s ≈ 360°/s
Answer: 6.28 rad/s ≈ 360°/s — exactly one full revolution per second.
Question 3: A smartphone gyro detects 0.15 rad/s while walking. Convert to °/s.
Solution:
°/s = rad/s × 57.2958
= 0.15 × 57.2958
= 8.59°/s
Answer: 0.15 rad/s = 8.59°/s — subtle body sway picked up by the phone sensor.
Practice: rad/s to °/s
Try solving these on your own to test your understanding:
- Convert 0.25 rad/s to °/s. (Answer: 14.32°/s)
- A satellite rotates at 0.001 rad/s. What is that in °/s? (Answer: 0.057°/s)
- Convert 4 rad/s to °/s. (Answer: 229.18°/s)
- A car wheel turns at 80 rad/s. Express in °/s. (Answer: 4,583.66°/s)
- Convert 0.75 rad/s to °/s. (Answer: 42.97°/s)
Gyroscope Sensor Ranges and Resolution
Common MEMS gyroscopes like the MPU-6050 (used in Arduino projects) have configurable ranges: ±250, ±500, ±1000, or ±2000°/s. In rad/s, these are approximately ±4.36, ±8.73, ±17.45, or ±34.91 rad/s. Choose the smallest range that covers your application for maximum resolution. A drone doing acrobatics needs ±2000°/s, while a stabilized camera gimbal works fine at ±250°/s.
PID Tuning with Degrees per Second
Drone flight controllers (Betaflight, ArduPilot) display rate setpoints in °/s. When you set a max rate of 800°/s for roll, the internal PID loop converts this to about 13.96 rad/s for its calculations. Understanding both units helps when debugging why your P-gain works at low rates but oscillates at high rates — the error in rad/s may exceed the linear range of your controller.
Key Takeaways
- Multiply rad/s by 57.2958 (or 180/π) to get °/s.
- 1 rad/s ≈ 57.3°/s — a useful constant to memorize.
- 6.28 rad/s = 360°/s = one full revolution per second.
- MEMS gyros typically max out at ±2000°/s (±34.9 rad/s).
- Drone PID controllers work in °/s for rate mode tuning.
Radian/s to Degree/s Conversion Formula
degree/s = radian/s × 57.2957550
1 radian/s = 57.2957550 degree/s
1 degree/s = 0.0174533 radian/s
Reverse: radian/s = degree/s × 0.0174533
Frequently Asked Questions
How many degree/s are in 1 radian/s?
There are 57.2957550 degree/s in 1 radian/s. To convert radian/s to degree/s, multiply the value by 57.2957550.
How do I convert radian/s to degree/s?
Multiply your radian/s value by 57.2957550 to get the equivalent in degree/s. For example, 5 radian/s = 5 × 57.2957550 = 286.47877 degree/s.
How do I convert degree/s to radian/s?
Multiply your degree/s value by 0.0174533 to get the equivalent in radian/s. Alternatively, divide by 57.2957550.
What is 10 radian/s in degree/s?
10 radian/s is equal to 572.95755 degree/s.
What is 100 radian/s in degree/s?
100 radian/s is equal to 5729.57550 degree/s.