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Engineering Converters
Velocity - Angular Converter
Result
... Radian per second = ... Degree per second
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Radian per second to Degree per second Converter
Use this page to convert radian per second values into degree per second, with background details, formulas, a worked example, and a quick conversion table.
Conversion formula
1 rad/s = 57.2957795130823 deg/s
1 deg/s = 0.0174532925199433 rad/s
Example: 60 rad/s = 3,437.74677078494 deg/s
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Radian per second
A radian per second describes angular displacement in radians per second.
History: Radians connect angular motion directly with arc length and radius in mechanics.
Current use: Radians per second are used in physics, rotational dynamics, motors, and control systems.
Also written as rad/s.
Degree per second
A degree per second is represented in this converter as 0.01745329252 radians per second.
History: Degree-based angular speed is common where angles are read in degrees.
Current use: Degrees per second are used in robotics, sensors, navigation, and control systems.
Also written as deg/s.
Radian per second to Degree per second table
| Radian per second [rad/s] | Degree per second [deg/s] |
|---|---|
| 0.01 rad/s | 0.572957795130823 deg/s |
| 0.1 rad/s | 5.72957795130823 deg/s |
| 1 rad/s | 57.2957795130823 deg/s |
| 2 rad/s | 114.591559026165 deg/s |
| 5 rad/s | 286.478897565412 deg/s |
| 10 rad/s | 572.957795130823 deg/s |
| 20 rad/s | 1,145.91559026165 deg/s |
| 50 rad/s | 2,864.78897565412 deg/s |
| 100 rad/s | 5,729.57795130823 deg/s |
Frequently asked questions
How many Degree per second (deg/s) are in one Radian per second (rad/s)?
One Radian per second equals 57.2957795130823 Degree per second.
How do you convert Radian per second to Degree per second?
Multiply the Radian per second value by 57.2957795130823 to get the result in Degree per second.
How do you convert Degree per second back to Radian per second?
Multiply the Degree per second value by 0.0174532925199433 to get back to Radian per second.
What is 60 Radian per second in Degree per second?
60 Radian per second equals 3,437.74677078494 Degree per second.