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

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

Convert from
Convert to

Conversion:

1 Degrees per second (°/s) = 0.01745329252 Radians per second (rad/s)

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

1 degps = 0.01745329252 radps

1 radps = 57.295779513 degps

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

25 degps = 0.436332313 radps

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

Degrees per second (°/s)Radians per second (rad/s)
0.01 degps0.0001745329252 radps
0.1 degps0.001745329252 radps
1 degps0.01745329252 radps
2 degps0.03490658504 radps
3 degps0.05235987756 radps
5 degps0.0872664626 radps
10 degps0.1745329252 radps
20 degps0.3490658504 radps
50 degps0.872664626 radps
100 degps1.745329252 radps
1000 degps17.45329252 radps

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.

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.