Convert Radians per second (rad/s) to Degrees per second (°/s)

Enter a value below to convert Radians per second (rad/s) to Degrees per second (°/s).

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Conversion:

1 Radians per second (rad/s) = 57.295779513 Degrees per second (°/s)

How to Convert Radians per second (rad/s) to Degrees per second (°/s)

1 radps = 57.295779513 degps

1 degps = 0.01745329252 radps

Example: convert 15 Radians per second (rad/s) to Degrees per second (°/s):

25 radps = 1432.3944878 degps

Radians per second (rad/s) to Degrees per second (°/s) Conversion Table

Radians per second (rad/s)Degrees per second (°/s)
0.01 radps0.57295779513 degps
0.1 radps5.7295779513 degps
1 radps57.295779513 degps
2 radps114.59155903 degps
3 radps171.88733854 degps
5 radps286.47889757 degps
10 radps572.95779513 degps
20 radps1145.9155903 degps
50 radps2864.7889757 degps
100 radps5729.5779513 degps
1000 radps57295.779513 degps

Radians per second (rad/s)

Definition

Radians per second (rad/s) is the SI unit of angular velocity, measuring the rate of rotation in radians. One full rotation equals 2π rad/s, which corresponds to approximately 6.2832 rad/s.

History

Radians per second emerged from the mathematical definition of the radian in the 18th century. It became the preferred unit in physics and engineering because it simplifies formulas involving rotational dynamics and wave mechanics.

Current use

Radians per second is the standard angular velocity unit in physics, mechanical engineering, control systems, and signal processing. It is used in motor specifications, oscillation analysis, and rotational dynamics calculations.

Degrees per second (°/s)

Definition

Degrees per second (°/s) is a unit of angular velocity measuring the rate of rotation in degrees. One full rotation (360°) per second equals 1 Hz.

History

Degrees per second has been used in navigation and astronomy for centuries. With the advent of gyroscopes and inertial measurement units (IMUs), it became a standard unit for measuring rotational rates in modern technology.

Current use

Degrees per second is widely used in robotics, drone stabilization, smartphone gyroscopes, virtual reality systems, and aerospace navigation for measuring angular rotation rates.