Convert Degree per Second to Radian per Second
Live bidirectional calculator for Degrees per Second (°/s) and Radians per Second (rad/s) with verified formula and conversion charts.
Angular Velocity4 units
How the Calculation Works (Linear Scaling)
Since 1 Radian per Second = 57.29578 Degrees per Second, divide the value in Degrees per Second by 57.29578.
Degree per Second to Radian per Second Conversion Table
Precomputed values for quick reference and printing.
| Degree per Second | Radian per Second |
|---|---|
| 1 °/s | 0.0175 rad/s |
| 2 °/s | 0.0349 rad/s |
| 3 °/s | 0.0524 rad/s |
| 4 °/s | 0.0698 rad/s |
| 5 °/s | 0.0873 rad/s |
| 6 °/s | 0.1047 rad/s |
| 7 °/s | 0.1222 rad/s |
| 8 °/s | 0.1396 rad/s |
| 9 °/s | 0.1571 rad/s |
| 10 °/s | 0.1745 rad/s |
| 15 °/s | 0.2618 rad/s |
| 20 °/s | 0.3491 rad/s |
| 25 °/s | 0.4363 rad/s |
| 30 °/s | 0.5236 rad/s |
| 40 °/s | 0.6981 rad/s |
| 50 °/s | 0.8727 rad/s |
| 75 °/s | 1.309 rad/s |
| 100 °/s | 1.7453 rad/s |
| Radian per Second | Degree per Second |
|---|---|
| 1 rad/s | 57.2958 °/s |
| 2 rad/s | 114.5916 °/s |
| 3 rad/s | 171.8873 °/s |
| 4 rad/s | 229.1831 °/s |
| 5 rad/s | 286.4789 °/s |
| 6 rad/s | 343.7747 °/s |
| 7 rad/s | 401.0705 °/s |
| 8 rad/s | 458.3662 °/s |
| 9 rad/s | 515.662 °/s |
| 10 rad/s | 572.9578 °/s |
| 15 rad/s | 859.4367 °/s |
| 20 rad/s | 1145.9156 °/s |
| 25 rad/s | 1432.3945 °/s |
| 30 rad/s | 1718.8734 °/s |
| 40 rad/s | 2291.8312 °/s |
| 50 rad/s | 2864.789 °/s |
| 75 rad/s | 4297.1835 °/s |
| 100 rad/s | 5729.578 °/s |
📌 Standard Benchmark Reference Values
Half-turn rotational angular velocity ratio.
Exact RatioAbout Degree per Second (°/s)
An angular speed unit equal to π/180 radians per second (≈ 0.0174533 rad/s).
History: Standard rotational rate measurement in aviation instruments and consumer gyro sensors.
Common Uses: Aircraft turn-and-bank indicators, gimbal stabilization rates, robotics servo speeds.
About Radian per Second (rad/s)
The SI coherent derived unit of angular velocity, equal to an angular rotation of one radian per second.
History: Standard rotational frequency rate formalized in the International System of Units (SI).
Common Uses: Physics kinematics, rotational mechanics, vibrational modal analysis.
❓ Frequently Asked Questions
How many Radians per Second are in 1 Degree per Second?
There are exactly 0.017453 Radians per Second in 1 Degree per Second (1 °/s = 0.017453 rad/s).
What is the formula to convert Degree per Second to Radian per Second?
The formula is: Radian per Second = Degree per Second / 57.29578. Since 1 Radian per Second = 57.29578 Degrees per Second, divide the value in Degrees per Second by 57.29578.
How do I convert 1 °/s to rad/s manually?
To convert 1 °/s to rad/s: apply the formula Radian per Second = Degree per Second / 57.29578. Substituting gives: 1 / 57.29578 = 0.0175 rad/s.